Christophe Delaunay

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All published works

Action	Title	Year	Authors
+	On the typical rank of rational elliptic surfaces	2022	Francesco Battistoni Sandro Bettin Christophe Delaunay
+ PDF Chat	On the typical rank of elliptic curves over $${\mathbb {Q}}(T)$$	2022	Francesco Battistoni Sandro Bettin Christophe Delaunay
+	Ranks of elliptic curves over $\mathbb{Q}(T)$ of small degree in $T$	2021	Francesco Battistoni Sandro Bettin Christophe Delaunay
+	On the typical rank of elliptic curves over ${\mathbb Q}(T)$	2021	Francesco Battistoni Sandro Bettin Christophe Delaunay
+ PDF Chat	Non-isotrivial elliptic surfaces with non-zero average root number	2018	Sandro Bettin Chantal David Christophe Delaunay
+ PDF Chat	Families of elliptic curves with non-zero average root number	2018	Sandro Bettin Chantal David Christophe Delaunay
+	Non-isotrivial elliptic surfaces with non-zero average root number	2016	Sandro Bettin Chantal David Christophe Delaunay
+	Non-isotrivial elliptic surfaces with non-zero average root number	2016	Sandro Bettin Chantal David Christophe Delaunay
+	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>ℓ</mml:mi></mml:mrow></mml:msup></mml:math>-torsion points in finite abelian groups and combinatorial identities	2014	Christophe Delaunay Frédéric Jouhet
+ PDF Chat	The Cohen–Lenstra heuristics, moments and p<sup>j</sup>-ranks of some groups	2014	Christophe Delaunay Frédéric Jouhet
+	The Cohen-Lenstra heuristics, moments and $p^j$-ranks of some groups	2013	Christophe Delaunay Frédéric Jouhet
+ PDF Chat	Zero free regions for Dirichlet series	2013	Christophe Delaunay Emmanuel Fricain Élie Mosaki Olivier Robert
+ PDF Chat	Zero free regions for Dirichlet series	2013	Christophe Delaunay Emmanuel Fricain Élie Mosaki Olivier Robert
+	The Cohen-Lenstra heuristics, moments and $p^j$-ranks of some groups	2013	Christophe Delaunay Frédéric Jouhet
+ PDF Chat	Zero-free regions for Dirichlet series (II)	2013	Emmanuel Fricain Christophe Delaunay Élie Mosaki Olivier Robert
+	Zero-free regions for Dirichlet series	2012	Christophe Delaunay Emmanuel Fricain Élie Mosaki O. Robert
+ PDF Chat	$p^\ell$-TORSION POINTS IN FINITE ABELIAN GROUPS AND COMBINATORIAL IDENTITIES	2012	Christophe Delaunay Frédéric Jouhet
+ PDF Chat	Zero-free regions for Dirichlet series (II)	2012	Christophe Delaunay Emmanuel Fricain Élie Mosaki O. Robert
+	$p^\ell$-Torsion Points In Finite Abelian Groups And Combinatorial Identities	2012	Christophe Delaunay Frédéric Jouhet
+	Averages of groups involving <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>p</mml:mi><mml:mi>ℓ</mml:mi></mml:msup></mml:math>-rank and combinatorial identities	2010	Christophe Delaunay
+ PDF Chat	Some remarks on self-points on elliptic curves	2010	Christophe Delaunay Christian Wüthrich
+	SELF-POINTS ON ELLIPTIC CURVES OF PRIME CONDUCTOR	2009	Christophe Delaunay Christian Wüthrich
+ PDF Chat	REGULATORS OF RANK ONE QUADRATIC TWISTS	2008	Christophe Delaunay Xavier-François Roblot
+ PDF Chat	Regulators of rank one quadratic twists	2008	Christophe Delaunay Xavier-François Roblot
+	Note on the frequency of vanishing of <i>L</i>-functions of elliptic curves in a family of quadratic twists	2007	Christophe Delaunay
+	The powers of logarithm for quadratic twists	2007	Christophe Delaunay Marley W. Watkins
+	Heuristics on class groups and on Tate-Shafarevich groups	2007	Christophe Delaunay
+	Regulators of rank one quadratic twists	2007	Christophe Delaunay Xavier-François Roblot
+	MOMENTS OF THE ORDERS OF TATE–SHAFAREVICH GROUPS	2005	Christophe Delaunay
+ PDF Chat	Critical and ramification points of the modular parametrization of an elliptic curve	2005	Christophe Delaunay
+ PDF Chat	Computing modular degrees using $L$-functions	2003	Christophe Delaunay
+	Numerical Investigations Related to the Derivatives of the<i>L</i>-Series of Certain Elliptic Curves	2003	Christophe Delaunay Sylvain Duquesne
+	Formes modulaires et invariants de courbes elliptiques définies sur Q	2002	Christophe Delaunay
+ PDF Chat	Degré modulaire d’une courbe elliptique	2002	Christophe Delaunay
+	Heuristics on Tate-Shafarevitch Groups of Elliptic Curves Defined over Q	2001	Christophe Delaunay

Common Coauthors

Coauthor	Papers Together
Sandro Bettin	8
Frédéric Jouhet	6
Emmanuel Fricain	5
Élie Mosaki	5
Francesco Battistoni	4
Chantal David	4
Olivier Robert	3
Xavier-François Roblot	3
Christian Wüthrich	2
O. Robert	2
Marley W. Watkins	1
Sylvain Duquesne	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Ring-Theoretic Properties of Certain Hecke Algebras	1995	Richard Taylor Andrew Wiles	5
+	A Course in Computational Algebraic Number Theory	1993	Henri Cohen	5
+	Heuristics on class groups	1984	Henri Cohen H. W. Lenstra	5
+	Algorithms for Modular Elliptic Curves	1992	J. E. Cremona	5
+	Heuristics on Tate-Shafarevitch Groups of Elliptic Curves Defined over Q	2001	Christophe Delaunay	5
+	Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0	2010	Manjul Bhargava Arul Shankar	5
+	A partition formula connected with Abelian groups	1938	P. Hall	4
+ PDF Chat	The size of Selmer groups for the congruent number problem	1993	D. R. Heath‐Brown	4
+	Averages of groups involving <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>p</mml:mi><mml:mi>ℓ</mml:mi></mml:msup></mml:math>-rank and combinatorial identities	2010	Christophe Delaunay	4
+	Random maximal isotropic subspaces and Selmer groups	2011	Bjorn Poonen Eric M. Rains	4
+	Heegner points and derivatives ofL-series	1986	Benedict H. Gross Don Zagier	4
+	Modular Elliptic Curves and Fermat's Last Theorem	1995	Andrew Wiles	4
+	Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves	2010	Manjul Bhargava Arul Shankar	4
+	On the frequency of vanishing of quadratic twists of modular L-functions	2000	JB Conrey JP Keating MO Rubinstein N C Snaith	3
+ PDF Chat	New Identities for Hall-Littlewood Polynomials and Applications	2005	Frédéric Jouhet Jiang Zeng	3
+ PDF Chat	On ranks of twists of elliptic curves and power-free values of binary forms	1995	C. L. Stewart J. Top	3
+ PDF Chat	On the density of rational points on rational elliptic surfaces	2019	Julie Desjardins	3
+	MOMENTS OF THE ORDERS OF TATE–SHAFAREVICH GROUPS	2005	Christophe Delaunay	3
+ PDF Chat	The size of Selmer groups for the congruent number problem, II	1994	D. R. Heath‐Brown	3
+ PDF Chat	Hall-Littlewood functions, plane partitions, and the Rogers-Ramanujan identities	1990	John R. Stembridge	3
+ PDF Chat	Disparity in Selmer ranks of quadratic twists of elliptic curves	2013	Zev Klagsbrun Barry Mazur Karl Rubin	3
+ PDF Chat	Modular Parametrizations of Elliptic Curves	1985	Don Zagier	3
+ PDF Chat	Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves	2014	Manjul Bhargava Arul Shankar	3
+ PDF Chat	On the variation of the root number in families of elliptic curves	2018	Julie Desjardins	3
+ PDF Chat	Derivatives of random matrix characteristic polynomials with applications to elliptic curves	2005	N C Snaith	3
+ PDF Chat	Constructing one-parameter families of elliptic curves with moderate rank	2006	Scott Arms Álvaro Lozano‐Robledo Steven J. Miller	3
+	Properties of twists of elliptic curves.	1990	J.A. Antoniadis M. Bungert Gerhard Frey	3
+	An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli	1974	George E. Andrews	3
+	Random Matrix Theory and L-Functions at s = 1/2	2000	Jonathan P. Keating N. C. Snaith	3
+ PDF Chat	A generalization of Kawanaka’s identity for Hall-Littlewood polynomials and applications	2006	Masao Ishikawa Frédéric Jouhet Jiang Zeng	3
+	On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises	2001	Christophe Breuil Brian Conrad Fred Diamond Richard Taylor	3
+ PDF Chat	One-level density of families of elliptic curves and the Ratios Conjecture	2015	Chantal David Duc Khiem Huynh James Parks	2
+	Systematic growth of Mordell-Weil groups of abelian varieties in towers of number fields	1979	Michael Harris	2
+	On the 4-rank of class groups of quadratic number fields	2006	Étienne Fouvry Jürgen Klüners	2
+	ELLIPTIC CURVES OF PRIME POWER CONDUCTOR WITH Q-RATIONAL POINTS OF FINITE ORDER	1973	Isao Miyawaki	2
+	Hall–Littlewood functions and the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="normal">A</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math> Rogers–Ramanujan identities	2005	S. Ole Warnaar	2
+	On the behaviour of root numbers in families of elliptic curves	2004	H. A. Helfgott	2
+	Généralisation du critère de Beurling-Nyman pour l’hypothèse de Riemann	2007	Anne de Roton	2
+ PDF Chat	The Topology of Rational Points	1992	Barry Mazur	2
+	Numerical Investigations Related to the Derivatives of the<i>L</i>-Series of Certain Elliptic Curves	2003	Christophe Delaunay Sylvain Duquesne	2
+ PDF Chat	The Rankin's $L$-function and Heegner points for general discriminants	1995	Yoshiki Hayashi	2
+ PDF Chat	Integral moments of L-functions	2005	J. Brian Conrey D. W. Farmer Jonathan P. Keating MO Rubinstein N. C. Snaith	2
+ PDF Chat	Investigations of Zeros near the Central Point of Elliptic Curve<i>L</i>-Functions	2006	Steven J. Miller	2
+	Theorems concerning mean values of analytic functions	1927	Godfrey Harold Hardy Albert Edward Ingham G. Pólya	2
+	A real variable restatement of Riemann’s hypothesis	1984	Hari Bercovici Ciprian Foiaş	2
+	Elliptische Kurven mit vorgeschriebenem Reduktionsverhalten. I	1971	Olaf Neumann	2
+ PDF Chat	Computing modular degrees using $L$-functions	2003	Christophe Delaunay	2
+ PDF Chat	A theorem of Dickson on irreducible polynomials	1952	L. Carlitz	2
+	Étude heuristique des groupes de classes des corps de nombres.	1990	Henri Cohen Jacques Martinet	2
+ PDF Chat	Integral Points on Elliptic Curves Defined by Simplest Cubic Fields	2001	Sylvain Duquesne	2