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Initial layer of the anti-cyclotomic $\mathbb{Z}_3$-extension of
$\mathbb{Q}(\sqrt{-m})$ and capitulation phenomenon
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2024
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Georges Gras
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On the Zp-extensions of a totally p-adic imaginary quadratic field -- With an appendix by Jean-François Jaulent
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2024
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Georges Gras
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On the Zp-extensions of a totally p-adic imaginary quadratic field -- With an appendix by Jean-François Jaulent
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2024
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Georges Gras
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The real Abelian main conjecture in the finite non semi-simple case
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2023
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Georges Gras
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Algebraic norm and đ-class group capitulations in totally ramified cyclic đ-extensions
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2023
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Georges Gras
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Genus theory of p-adic pseudo-measures -- Tame kernels and abelian p-ramification
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2023
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Georges Gras
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UNLIMITED LISTS OF QUADRATIC INTEGERS OF GIVEN NORM APPLICATION TO SOME ARITHMETIC PROPERTIES
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2023
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Georges Gras
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New characterization of the norm of the fundamental unit of Q(M^1/2).
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2023
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Georges Gras
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The ChevalleyâHerbrand formula and the real abelian Main Conjecture (New criterion using capitulation of the class group)
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2023
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Georges Gras
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Algebraic norm and capitulation of p-class groups in ramified cyclic p-extensions
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2023
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Georges Gras
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New characterization of the norm of the fundamental unit of $\mathbb{Q}(\sqrt M)$
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2023
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Georges Gras
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On the Real Abelian Main Conjecture in the non semi-simple case
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2023
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Georges Gras
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Exceptional case of the non semi-simple Real Abelian Main Conjecture
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2023
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Georges Gras
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Genus theory of p-adic pseudo-measures -- Tame kernels and abelian p-ramification
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2023
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Georges Gras
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The Chevalley--Herbrand formula and the real abelian Main Conjecture
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2022
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Georges Gras
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Unlimited lists of fundamental units of quadratic fields -- Applications
to some arithmetic properties
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2022
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Georges Gras
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Unlimited lists of fundamental units of quadratic fields - Applications
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2022
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Georges Gras
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On the λ-stability of p-class groups along cyclic p-towers of a number field
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2022
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Georges Gras
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The Chevalley-Herbrand formula and the real abelian Main Conjecture
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2022
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Georges Gras
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Algebraic norm and capitulation of p-class groups in ramified cyclic p-extensions
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2022
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Georges Gras
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Unlimited lists of fundamental units of quadratic fields -- Applications to some arithmetic properties
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2022
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Georges Gras
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Application of the notion of $\Phi$-object to the study of p-class
groups and p-ramified torsion groups of abelian extensions
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2021
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Georges Gras
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Application of the notion of Ï-object to the study of p-class groups and p-ramified torsion groups of abelian extensions
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2021
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Georges Gras
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Algorithmic complexity of Greenbergâs conjecture
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2021
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Georges Gras
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TateâShafarevich groups in the cyclotomic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mo>Ë</mml:mo></mml:mrow></mml:mover></mml:math>-extension and Weber's class number problem
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2021
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Georges Gras
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ON THE p-CLASS GROUP STABILITY ALONG CYCLIC p-TOWERS OF A NUMBER FIELD
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2021
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Georges Gras
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On the $\lambda$-stability of p-class groups along cyclic p-towers of a number field
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2021
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Georges Gras
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On the $\lambda$-stability of p-class groups along cyclic p-towers of a
number field
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2021
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Georges Gras
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Application of the notion of $Ί$-object to the study of p-class groups and p-ramified torsion groups of abelian extensions
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2021
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Georges Gras
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Weber's class number problem and p--rationality in the cyclotomic Z^-extension of Q
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2020
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Georges Gras
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New criteria for Vandiverâs conjecture using Gauss sums â Heuristics and numerical experiments
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2020
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Georges Gras
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PDF
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Greenberg's conjecture for totally real number fields in terms of algorithmic complexity
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2020
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Georges Gras
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PDF
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Greenberg's conjecture for totally real fields in terms of algorithmic complexity
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2020
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Georges Gras
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PDF
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The p-rank Δ-conjecture on class groups is true for towers of p-extensions
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2020
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Georges Gras
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The $p$-rank $\varepsilon$-conjecture for $p$-extensions
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2020
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Georges Gras
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The p-rank $\epsilon$-conjecture on class groups is true for towers of p-extensions
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2020
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Georges Gras
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The p-rank $Δ$-conjecture on class groups is true for towers of p-extensions
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2020
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Georges Gras
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Practice of the Incomplete $p$-Ramification Over a Number Field -- History of Abelian $p$-Ramification
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2019
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Georges Gras
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On <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-rationality of number fields. Applications â PARI/GP programs
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2019
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Georges Gras
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Genus theory and Δ-conjectures on p-class groups
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2019
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Georges Gras
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Practice of incomplete p-ramification over a number field -- History of abelian p-ramification
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2019
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Georges Gras
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Note on some p-invariants of Q(N^{1/p}) using reflection theorem
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2019
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Georges Gras
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Successive maxima of the non-genus part of class numbers
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2019
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Georges Gras
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Test of Vandiver's conjecture with Gauss sums -- Heuristics
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2018
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Georges Gras
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Normes dâidĂ©aux dans la tour cyclotomique et conjecture de Greenberg
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2018
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Georges Gras
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Annihilation of $\text{tor}_{Z_{p}}(\mathcal G_{K,S}^{ab})$ for real abelian extensions $K/Q$
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2018
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Georges Gras
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Heuristics and conjectures in the direction of a $p$-adic BrauerâSiegel Theorem
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2018
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Georges Gras
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Annihilation of ${\rm tor}_{\mathbf{Z}_p}({\mathcal G}_{K,S}^{\rm ab})$ for real abelian extensions
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2018
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Georges Gras
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Heuristics in direction of a p-adic Brauer--Siegel theorem
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2018
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Georges Gras
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On the order modulo p of an algebraic number
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2018
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Georges Gras
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Annihilation of tor_p(G_S^ab) for real abelian extensions
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2018
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Georges Gras
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Approche <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-adique de la conjecture de Greenberg pour les corps totalement réels
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2017
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Georges Gras
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A program to test the p-rationality of any number field
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2017
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Georges Gras
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The p-adic KummerâLeopoldt constant: Normalized p-adic regulator
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2017
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Georges Gras
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Conjecture de Greenberg
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2017
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Georges Gras
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Invariant generalized ideal classes â structure theorems for p-class groups in p-extensions
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2017
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Georges Gras
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Approche p-adique de la conjecture de Greenberg (cas totalement réel p-décomposé)
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2016
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Georges Gras
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Sur le module de BertrandiasâPayan dans une <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-extension â Noyau de capitulation
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2016
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Georges Gras
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p-adic approach of Greenberg's conjecture (p-split totally real case)
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2016
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Georges Gras
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No general RiemannâHurwitz formula for relative p-class groups
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2016
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Georges Gras
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Local theta-regulators of an algebraic number -- p-adic Conjectures
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2016
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Georges Gras
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PDF
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Ătude probabiliste des quotients de Fermat
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2016
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Georges Gras
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PDF
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NO RIEMANN-HURWITZ FORMULA FOR THE p-RANKS OF RELATIVE CLASS GROUPS
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2015
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Georges Gras
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PDF
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On the order modulo p of an algebraic number (for p large enough)
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2015
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Georges Gras
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ON THE BERTRANDIASâPAYAN MODULE IN A p-EXTENSION -- CAPITULATION KERNEL
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2015
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Georges Gras
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Les<i>Ξ</i>-régulateurs locaux d'un nombre algébrique : Conjectures<i>p</i>-adiques
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2015
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Georges Gras
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Etude probabiliste des p-quotients de Fermat
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2014
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Georges Gras
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Notion de $\theta$-r\'egulateurs d'un nombre alg\'ebrique. Conjectures p-adiques
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2014
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Georges Gras
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Notion de $\theta$-régulateurs d'un nombre algébrique. Conjectures p-adiques
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2014
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Georges Gras
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Notion de $Ξ$-régulateurs d'un nombre algébrique. Conjectures p-adiques
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2014
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Georges Gras
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On the structure of the Galois group of the Abelian closure of a number field
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2014
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Georges Gras
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Number fields whose Abelian closures have isomorphic Galois groups
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2012
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Georges Gras
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PDF
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Some works of FurtwÀngler and Vandiver revisited and Fermat's last theorem
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2012
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Georges Gras
Roland QuĂȘme
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PDF
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Vandiver papers on cyclotomy revised and Fermatâs Last Theorem
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2012
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Georges Gras
Roland QuĂȘme
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Some works of Furtw\"angler and Vandiver revisited and the Fermat last theorem
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2011
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Georges Gras
Roland QuĂȘme
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Stickelberger's congruences for absolute norms of relative discriminants
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2011
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Georges Gras
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Analysis of the classical cyclotomic approach to fermat's last theorem
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2011
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Georges Gras
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Some works of FurtwÀngler and Vandiver revisited and Fermat's last theorem
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2011
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Georges Gras
Roland QuĂȘme
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Stickelbergerâs congruences for absolute norms of relative discriminants
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2010
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Georges Gras
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Analysis of the classical cyclotomic approach to Fermatâs last Theorem
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2010
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Georges Gras
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On the T-ramified, S-split p-class field towers over an extension of degree prime to p
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2009
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Georges Gras
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Note on 2-rational fields
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2009
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Georges Gras
Jean-François Jaulent
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Note on 2-rational fields
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2009
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Georges Gras
Jean-François Jaulent
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PDF
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Note on 2-rational fields
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2009
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Georges Gras
Jean-François Jaulent
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PDF
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Note on 2-rational fields
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2009
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Georges Gras
Jean-François Jaulent
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PDF
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Note on 2-rational fields
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2009
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Georges Gras
Jean-François Jaulent
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PDF
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Note on 2-rational fields
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2009
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Georges Gras
Jean-François Jaulent
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PDF
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Note on 2-rational fields
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2009
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Georges Gras
Jean-François Jaulent
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PDF
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Note on 2-rational fields
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2009
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Georges Gras
Jean-François Jaulent
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Note on 2-rational fields
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2008
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Georges Gras
Jean-François Jaulent
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PDF
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Class field theory: From theory to practice
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2005
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Georges Gras
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Cyclic Extensions with Prescribed Ramification
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2003
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Georges Gras
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Invariant Class Groups in p-Ramification Genus Theory
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2003
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Georges Gras
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Class Field Theory
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2003
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Georges Gras
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Abelian Extensions with Restricted Ramification â Abelian Closure
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2003
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Georges Gras
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Reciprocity Maps Existence Theorems
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2003
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Georges Gras
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PDF
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Ramifications minimales
|
2000
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Georges Gras
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PDF
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ThéorÚmes de réflexion
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1998
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Georges Gras
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Extensions cycliques <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>T</mml:mi></mml:math>-totalement ramifiées
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1998
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Georges Gras
Adeline Munnier
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CritĂšre effectif de puissancep-iĂšme dans un corps de nombres galoisien
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1997
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Georges Gras
Stéphane Jeannin
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Principalisation d'idéaux par extensions absolument abéliennes
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1997
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Georges Gras
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Interprétation et Calcul du Groupe de Défaut d'un Principe de Hasse
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1997
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Georges Gras
Anne Cortella
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PDF
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Classes généralisées invariantes
|
1994
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Georges Gras
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PDF
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Sur la structure des groupes de classes relatives. Avec un appendice d'exemples numériques par T. Berthier
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1993
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Georges Gras
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Regular fields: normic criteria in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-extensions
|
1992
|
Ruth Berger
Georges Gras
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Mesures <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-adiques
|
1992
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Georges Gras
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Sur les dĂ©nominateurs des fonctions zĂȘta partielles
|
1992
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Georges Gras
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PDF
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Sur la norme du groupe des unités d'extensions quadratiques relatives
|
1992
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Georges Gras
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Sur les corps de nombres rïżœguliers
|
1989
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Georges Gras
Jean-François Jaulent
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PDF
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Relations congruentielles linéaires entre nombres de classes de corps quadratiques
|
1989
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Georges Gras
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PDF
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Non monogĂ©nĂ©itĂ© dâanneaux dâentiers
|
1988
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Georges Gras
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Pseudo-mesures p- adiques associïżœes aux fonctions L deQ
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1987
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Georges Gras
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Fonctions $L_p$ de $\mathbb {Q}$. Ătude systĂ©matique des propriĂ©tĂ©s congruentielles
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1987
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Georges Gras
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Remarks on K2 of number fields
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1986
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Georges Gras
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Decomposition and Inertia Groups in $\mathbf{Z}_p$-Extensions
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1986
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Georges Gras
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Thïżœorie des genres analytique des fonctionsL p-adiques des corps totalement rïżœels
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1986
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Georges Gras
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Relations congruentielles additives entre fonctions <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>L</mml:mi> <mml:mi>p</mml:mi> </mml:msub></mml:math> de <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>â</mml:mi></mml:math>
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1986
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Georges Gras
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DĂ©termination numĂ©rique du groupe dâArtin des extensions cycliques de <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>â</mml:mi></mml:math> Ă ramification donnĂ©e (programme FORTRAN IV-GALCYCL)
|
1986
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Georges Gras
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Plongements kummériens dans les $\mathbb {Z}_p$-extensions
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1985
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Georges Gras
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Logarithme $p$ -adique et corps de classes
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1984
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Georges Gras
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+
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Logarthme p-adique et groupes de Galois.
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1983
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Georges Gras
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Sur les ${\bf Z}_2$-extensions d'un corps quadratique imaginaire
|
1983
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Georges Gras
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Logarithme p-adique, p-ramification abélienne et K ...
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1983
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Georges Gras
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Canonical divisibilities of values of p-adic L-functions
|
1982
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Georges Gras
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Groupe de Galois de la p-extension abélienne p-ramifiée maximale d'un corps de nombres.
|
1982
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Georges Gras
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Erratum : « Sur la construction des fonctions <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>L</mml:mi></mml:math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-adiques abéliennes »
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1981
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Georges Gras
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Annulation du groupe des $\ell$-classes généralisées d'une extension abélienne réelle de degré premier à $\ell$
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1979
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Georges Gras
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Sur la construction des fonctions $L \, p$ -adiques abéliennes
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1979
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Georges Gras
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PDF
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Sur les invariants « lambda » dâIwasawa des corps abĂ©liens
|
1979
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Georges Gras
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PDF
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Nombre de $\varphi$-classes invariantes. Application aux classes des corps abéliens
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1978
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Georges Gras
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PDF
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Sommes de Gauss sur les corps finis
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1978
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Georges Gras
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PDF
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Approche numérique de la structure du groupe des classes des extensions abéliennes de $\bbfQ$
|
1977
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Georges Gras
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PDF
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Classes d'idéaux des corps abéliens et nombres de Bernoulli généralisés
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1977
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Georges Gras
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Exemple dâannulateur non principal dâun groupe de <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>Ï</mml:mi></mml:math>-classes relatives
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1977
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Georges Gras
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Application de la notion de <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>Ï</mml:mi></mml:math>-objet Ă lâĂ©tude du groupe des classes dâidĂ©aux des extensions abĂ©liennes
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1976
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Georges Gras
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CritÚre de parité du nombre de classes des extensions abéliennes réelles de $Q$ de degré impair
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1975
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Georges Gras
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Signature des unités cyclotomiques et parité du nombre de classes des extensions cycliques de ${\bf Q}$ de degré premier impair
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1975
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Georges Gras
Marie-Nicole Gras
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Calcul du nombre de classes et des unitĂ©s des extensions abĂ©liennes rĂ©elles de <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>â</mml:mi></mml:math>
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1975
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Georges Gras
Marie-Nicole Gras
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Sur le <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mn>3</mml:mn></mml:math>-rang des corps cubiques non galoisiens
|
1975
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Georges Gras
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Sur les l-classes d'idéaux des extensions non galoisiennes de Q de degr\'e premier impair l a cl\^oture galoisienne diédrale de degré 2l
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1974
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Georges Gras
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ProblÚmes relatifs aux $l$-classes d'idéaux dans les extensions cycliques relatives de degré premier $l$
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1974
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Georges Gras
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Sur les $\ell$-classes d'idéaux dans les extensions cycliques relatives de degré premier $\ell$
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1973
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Georges Gras
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Aspects numĂ©riques de la dĂ©termination du $\ell $-groupe des classes dâidĂ©aux des extensions cycliques de degrĂ© premier $\ell $
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1973
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Georges Gras
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Sur les $\ell$-classes d'idéaux dans les extensions cycliques relatives de degré premier $\ell$
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1973
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Georges Gras
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+
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Sur les l-classes d'idéaux dans les extensions cycliques relatives de degré premier l
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1972
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Georges Gras
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PDF
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Extensions abéliennes non ramifiées de degré premier d'un corps quadratique
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1972
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Georges Gras
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Ătude du $\ell $ -groupe des classes des extensions cycliques de degrĂ© $\ell $
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1972
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Georges Gras
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