Karim Belabas

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All published works

Action	Title	Year	Authors
+	Explicit Methods in Number Theory	2025	Karim Belabas Bjorn Poonen Fernando Rodríguez Villegas
+	L’algorithmique de la théorie algébrique des nombres	2024	Karim Belabas
+	Special values of ray class partial zeta functions	2022	Karim Belabas Francisco Diaz y Diaz Eduardo Friedman
+	Numerical Algorithms for Number Theory	2021	Karim Belabas Henri Cohen
+	Numerical summation	2021	Karim Belabas Henri Cohen
+	Numerical computation of continued fractions	2021	Karim Belabas Henri Cohen
+	Gauss and Jacobi sums	2021	Karim Belabas Henri Cohen
+	Numerical extrapolation	2021	Karim Belabas Henri Cohen
+	Euler products and Euler sums	2021	Karim Belabas Henri Cohen
+ PDF Chat	Polygones fondamentaux d’une courbe modulaire	2021	Karim Belabas Dominique Bernardi Bernadette Perrin-Riou
+	Overconvergent modular symboles and p-adic L-functions	2021	Karim Belabas Bernadette Perrin-Riou
+	Karim Belabas - S-units and compact representations in number fields	2020	Karim Belabas Fanny Bastien
+	A note on the low order assumption in class group of an imaginary quadratic number fields.	2020	Karim Belabas Thorsten Kleinjung Antonio Sanso Benjamin Wesolowski
+ PDF Chat	La constante de Manin et le degré modulaire d’une courbe elliptique	2019	Karim Belabas Dominique Bernardi Bernadette Perrin-Riou
+ PDF Chat	La constante de Manin et le degré modulaire d'une courbe elliptique	2019	Karim Belabas Dominique Bernardi Bernadette Perrin-Riou
+	Modular Forms in Pari/GP.	2018	Karim Belabas Henri Cohen
+	Modular forms in Pari/GP	2018	Karim Belabas Henri Cohen
+	Polygones fondamentaux d'une courbe modulaire	2018	Karim Belabas Dominique Bernardi Bernadette Perrin-Riou
+ PDF Chat	Modular Forms in Pari/GP	2018	Karim Belabas Henri Cohen
+	La constante de Manin et le degré modulaire d'une courbe elliptique	2018	Karim Belabas Dominique Bernardi Bernadette Perrin-Riou
+ PDF Chat	Modular Forms in Pari/GP	2018	Karim Belabas Henri Cohen
+ PDF Chat	Modular Forms in Pari/GP	2018	Karim Belabas Henri Cohen
+	Modular Forms in Pari/GP	2018	Karim Belabas Henri Cohen
+	Karim Belabas - L-functions	2016	Karim Belabas Fanny Bastien
+	Computing the residue of the Dedekind zeta function	2014	Karim Belabas Eduardo Friedman
+	Computing the residue of the Dedekind zeta function	2013	Karim Belabas Eduardo Friedman
+	New Results - Class groups and other invariants ofnumber fields	2013	Karim Belabas Jean-Paul Cerri Pierre Lezowski
+	Computing the residue of the Dedekind zeta function	2013	Karim Belabas Eduardo Friedman
+	New Results - Number and function fields	2013	Athanasios Angelakis Jean-Marc Couveignes Karim Belabas
+	Explicit methods in number theory. Rational points and Diophantine equations.	2012	Karim Belabas Frits Beukers Pierrick Gaudry William G. McCallum Bjorn Poonen Samir Siksek Michael Stoll Mark E. Watkins
+ PDF Chat	Théorie algébrique des nombres et calcul formel	2011	Karim Belabas
+	DISCRIMINANTS CUBIQUES ET PROGRESSIONS ARITHMÉTIQUES	2010	Karim Belabas Étienne Fouvry
+ PDF Chat	Error estimates for the Davenport-Heilbronn theorems	2010	Karim Belabas Manjul Bhargava Carl Pomerance
+ PDF Chat	Factoring polynomials over global fields	2009	Karim Belabas Mark van Hoeij Jürgen Klüners Allan Steel
+	L'analyse logique des probabilites selon Waismann	2009	Karim Belabas Layla Raïd
+	Explicit methods in number theory. Abstracts from the workshop held July 12th--July 18th, 2009.	2009	Karim Belabas Hendrik W.jun. Lenstra Don Zagier
+	Practical Aurifeuillian factorization	2008	Bill Allombert Karim Belabas
+ PDF Chat	Small generators of the ideal class group	2007	Karim Belabas Francisco Diaz y Diaz Eduardo Friedman
+	Paramétrisation de structures algébriques et densité de discriminants	2005	Karim Belabas
+ PDF Chat	Corrigendum: on the mean 3-rank of quadratic fields	2004	Karim Belabas
+	Generators and Relations for O	2004	Karim Belabas Herbert Gangl
+	On quadratic fields with large 3-rank	2004	Karim Belabas
+ PDF Chat	Topics in computational algebraic number theory	2004	Karim Belabas
+	Factoring polynomials over global fields	2004	Karim Belabas Mark van Hoeij Juergen Klueners Allan Steel
+ PDF Chat	COUNTING HOROBALLS AND RATIONAL GEODESICS	2001	Karim Belabas Sa’ar Hersonsky Frédéric Paulin
+	Sur le 3-rang des corps quadratiques de discriminant premier ou presque premier	1999	Karim Belabas Étienne Fouvry
+ PDF Chat	None	1999	Karim Belabas
+	Binary cubic forms and cubic number fields	1997	Karim Belabas Henri Cohen
+ PDF Chat	A fast algorithm to compute cubic fields	1997	Karim Belabas
+ PDF Chat	Computing cubic fields in quasi-linear time	1996	Karim Belabas
+ PDF Chat	Crible et 3-rang des corps quadratiques	1996	Karim Belabas
+	Variations sur un thème de Davanport et Heilbronn : formes cubiques, corps cubiques, et groupes de classes des corps quadratiques	1996	Karim Belabas

Common Coauthors

Coauthor	Papers Together
Henri Cohen	13
Bernadette Perrin-Riou	6
Dominique Bernardi	5
Eduardo Friedman	5
Étienne Fouvry	2
Allan Steel	2
Bjorn Poonen	2
Mark van Hoeij	2
Francisco Diaz y Diaz	2
Fanny Bastien	2
Fernando Rodríguez Villegas	1
Manjul Bhargava	1
Samir Siksek	1
Jean-Marc Couveignes	1
Pierre Lezowski	1
Thorsten Kleinjung	1
Jürgen Klüners	1
Frédéric Paulin	1
Pierrick Gaudry	1
Carl Pomerance	1
Michael Stoll	1
Benjamin Wesolowski	1
Sa’ar Hersonsky	1
Herbert Gangl	1
Frits Beukers	1
Layla Raïd	1
Antonio Sanso	1
Athanasios Angelakis	1
Don Zagier	1
Mark E. Watkins	1
Jean-Paul Cerri	1
Juergen Klueners	1
William G. McCallum	1
Hendrik W.jun. Lenstra	1
Bill Allombert	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the density of discriminants of cubic fields. II	1971	H. Davenport H. Heilbronn	10
+	A Course in Computational Algebraic Number Theory	1993	Henri Cohen	9
+	On the Class-Number of Binary Cubic Forms (II)	1951	H. Davenport	8
+ PDF Chat	Heuristics on class groups of number fields	1984	Henri Cohen H. W. Lenstra	7
+	Arithmetische Theorie der kubischen Zahlk�rper auf klassenk�rpertheoretischer Grundlage	1930	Helmut Hasse	6
+ PDF Chat	On the Reduction and Classification of Binary Cubics which Have a Negative Discriminant	1912	G. B. Mathews	5
+ PDF Chat	A fast algorithm to compute cubic fields	1997	Karim Belabas	5
+ PDF Chat	Factoring polynomials with rational coefficients	1982	A. K. Lenstra H. W. Lenstra László Lovász	5
+	On the Density of Discriminants of Cubic Fields	1969	H. Davenport H. Heilbronn	5
+	The Theory of Irrationalities of the Third Degree	2009	B. Delone D. K. Faddeev	5
+ PDF Chat	A rigorous subexponential algorithm for computation of class groups	1989	James Lee Hafner Kevin S. McCurley	4
+ PDF Chat	Explicit bounds for primality testing and related problems	1990	Eric Bach	4
+ PDF Chat	Crible et 3-rang des corps quadratiques	1996	Karim Belabas	4
+	On the Class-Number of Binary Cubic Forms (I)	1951	H. Davenport	4
+ PDF Chat	Overconvergent modular symbols and $p$-adic $L$-functions	2011	Robert Pollack Glenn Stevens	4
+ PDF Chat	Algorithms in Algebraic Number Theory	1992	H. W. Lenstra	3
+	Sur le 3-rang des corps quadratiques de discriminant premier ou presque premier	1999	Karim Belabas Étienne Fouvry	3
+ PDF Chat	A Rigorous Subexponential Algorithm For Computation of Class Groups	1989	James Lee Hafner Kevin S. McCurley	3
+	Advanced Topics in Computational Number Theory	2011	Henri Cohen	3
+ PDF Chat	None	1999	Karim Belabas	3
+ PDF Chat	Explicit Bounds for Primality Testing and Related Problems	1990	Eric Bach	3
+	Algebraic Number Theory	1994	Serge Lang	3
+	Density of discriminants of cubic extensions.	1988	B. Datskovsky D. J. Wright	3
+	Annihilator ideals and representation iteration for abstract rings	1939	Cath Everett	2
+ PDF Chat	Topics in computational algebraic number theory	2004	Karim Belabas	2
+ PDF Chat	A bound for the least prime ideal in the Chebotarev Density Theorem	1979	Jeffrey C. Lagarias Hugh L. Montgomery Andrew Odlyzko	2
+ PDF Chat	On totally real cubic fields	1985	Veikko Ennola Reino Turunen	2
+ PDF Chat	Computing class fields via the Artin map	2000	Claus Fieker	2
+ PDF Chat	Elementary and Analytic Theory of Algebraic Numbers	1991	Peter Shiu Władysław Narkiewicz	2
+ PDF Chat	The number of extensions of a number field with fixed degree and bounded discriminant	2006	Jordan S. Ellenberg Akshay Venkatesh	2
+	Stickelberger elements and modular parametrizations of elliptic curves	1989	Glenn Stevens	2
+ PDF Chat	Toric modular forms of higher weight	2003	Lev Borisov Paul E. Gunnells	2
+	Introduction à la théorie analytique et probabiliste des nombres	2015	Gérald Tenenbaum	2
+ PDF Chat	Factoring polynomials over global fields	2009	Karim Belabas Mark van Hoeij Jürgen Klüners Allan Steel	2
+	Density of cubic field discriminants	2000	David Roberts	2
+	Products of polynomials and a priori estimates for coefficients in polynomial decompositions: A sharp result	1992	Bernard Beauzamy	2
+ PDF Chat	The Modular Approach to Diophantine Equations	2008	Samir Siksek	2
+ PDF Chat	Approximatting rings of integers in number fields	1994	Johannes Buchmann H. W. Lenstra	2
+ PDF Chat	On totally real cubic fields with discriminant 𝐷<10⁷	1988	Pascual Llorente Jordi Quer	2
+	Algorithms for matrix canonical forms	2000	Arne Storjohann	2
+ PDF Chat	Heuristics on Class Groups: Some Good Primes are not too Good	1994	Henri Cohen Jacques Martinet	2
+	Jacobi forms and a certain space of modular forms	1988	Nils-Peter Skoruppa Don Zagier	2
+ PDF Chat	On Dirichlet series whose coefficients are class numbers of integral binary cubic forms	1972	Takuro Shintani	2
+	On quadratic fields with large 3-rank	2004	Karim Belabas	2
+	PARABOLIC POINTS AND ZETA-FUNCTIONS OF MODULAR CURVES	1972	Ju I Manin	2
+	An Arithmetic-Geometric Method in the Study of the Subgroups of the Modular Group	1991	Ravi S. Kulkarni	2
+ PDF Chat	On the computation of a table of complex cubic fields with discriminant 𝐷>-10⁶	1990	Gilbert Fung Hywel C Williams	2
+ PDF Chat	Multiplicities of dihedral discriminants	1992	Daniel C. Mayer	2
+	Sur les “formules explicites” de la théorie des nombres premiers	1979	André Weil	2
+	On Poincaré's theorem for fundamental polygons	1971	Bernard Maskit	2