Gerhard Frey

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All published works

Action	Title	Year	Authors
+	Une Note Sur La Conjecture ABC	2020	Gerhard Frey Abdelmajid Ben Hadj Salem
+ PDF Chat	Curves, Jacobians, and cryptography	2019	Gerhard Frey Tony Shaska
+	Curves, Jacobians, and Cryptography	2018	Gerhard Frey Tony Shaska
+	Curves, Jacobians, and Cryptography	2018	Gerhard Frey Tony Shaska
+	Normal forms of hyperelliptic curves of genus 3	2015	Gerhard Frey Ernst Kani
+	Isogenies in Theory and Praxis	2014	Gerhard Frey
+	Galois representations attached to elliptic curves and diophantine problems	2013	Gerhard Frey
+	Relations between arithmetic geometry and public key cryptography	2010	Gerhard Frey
+ PDF Chat	The Way to the Proof of Fermat’s Last Theorem	2009	Gerhard Frey
+ PDF Chat	On Bilinear Structures on Divisor Class Groups	2009	Gerhard Frey
+	Curves of genus 2 with elliptic differentials and associated Hurwitz spaces	2009	Gerhard Frey Ernst Kani
+	Discrete Logarithms, Duality, and Arithmetic in Brauer Groups	2008	Gerhard Frey
+ PDF Chat	Non-constant curves of genus 2 with infinite pro-Galois covers	2008	Claus Diem Gerhard Frey
+	Handbook of Elliptic and Hyperelliptic Curve Cryptography	2005	Henri Cohen Gerhard Frey Roberto Avanzi Christophe Doche Tanja Lange Kim Nguyễn Fréderik Vercauteren
+	Background on Weil Descent	2005	Gerhard Frey Tanja Lange
+	Varieties over Special Fields	2005	Gerhard Frey Tanja Lange
+	Background on Curves and Jacobians	2005	Gerhard Frey Tanja Lange
+	Complex Multiplication	2005	Gerhard Frey Tanja Lange
+ PDF Chat	On the number of elliptic curves with CM cover large algebraic fields	2005	Gerhard Frey Moshe Jarden
+	On using expansions to the base of −2	2004	Roberto Avanzi Gerhard Frey Tanja Lange Roger Oyono¶
+	Non-constant genus 2 curves with pro-Galois covers	2003	Claus Diem Gerhard Frey
+	Non-constant curves of genus 2 with infinite pro-Galois covers	2003	Claus Diem Gerhard Frey
+	On Using Expansions to the Base of -2	2003	Roberto Avanzi Gerhard Frey Tanja Lange Roger Oyono
+	Non-constant curves of genus 2 with infinite pro-Galois covers	2003	Claus Diem Gerhard Frey
+	On Using Expansions to the Base of -2	2003	Roberto Avanzi Gerhard Frey Tanja Lange Roger Oyono
+ PDF Chat	Der Satz von Preda Mihailescu. Die Vermutung von Catalan ist richtig!	2002	Gerhard Frey
+	The way to the proof of Fermat's theorem	2002	Gerhard Frey
+	Horizontal isogeny theorems	2002	Gerhard Frey Moshe Jarden
+ PDF Chat	Projective p-adic representations of the K-rational geometric fundamental group	2001	Gerhard Frey Ernst Kani
+	Curves with infinite K-rational geometric fundamental group	2001	Gerhard Frey Ernst Kani
+	Applications of Arithmetical Geometry to Cryptographic Constructions	2001	Gerhard Frey
+	Arithmetic of Modular Curves and Applications	1999	Gerhard Frey Michael R. Müller
+	On Ternary Equations of Fermat Type and Relations with Elliptic Curves	1997	Gerhard Frey
+ PDF Chat	Algebra and Number Theory	1994	Gerhard Frey Joachim Ritter
+	A Remark Concerning m-Divisibility and the Discrete Logarithm in the Divisor Class Group of Curves	1994	Gerhard Frey Hans-Georg Rück
+	Construction and arithmetical applications of modular forms of low weight	1994	Gerhard Frey
+	Curves with infinitely many points of fixed degree	1994	Gerhard Frey
+ PDF Chat	A remark concerning 𝑚-divisibility and the discrete logarithm in the divisor class group of curves	1994	Gerhard Frey Hans-Georg Rück
+	Über A. Wiles’ Beweis der Fermatschen Vermutung	1993	Gerhard Frey
+	On the different of abelian extensions of global fields	1992	Gerhard Frey Marc Perret Henning Stichtenoth
+	Galois representations of octahedral type and 2-coverings of elliptic curves	1991	Pilar Báyer Gerhard Frey
+	Curves of genus 2 covering elliptic curves and an arithmetical application	1991	Gerhard Frey Ernst Kani
+	Properties of twists of elliptic curves.	1990	J.A. Antoniadis M. Bungert Gerhard Frey
+	Links between solutions of A−B=C and elliptic curves	1989	Gerhard Frey
+ PDF Chat	On the Selmer Group of Twists of Elliptic Curves with Q-Rational Torsion Points	1988	Gerhard Frey
+	Links Between Elliptic Curves and Solutions of A-B=C	1987	Gerhard Frey
+	The strong Lefschetz principle in algebraic geometry	1986	Gerhard Frey Hans -Georg R�ck
+	A remark about isogenies of elliptic curves over quadratic fields	1986	Gerhard Frey
+	Links between stable elliptic curves and certain diophantine equations	1986	Gerhard Frey
+	A relation between the value of theL-series of the curve:y 2=x 3?k 3 ins=1 and its Selmer group	1985	Gerhard Frey
+	Der Rang der L�sungen von Y2=X3�p3 �ber 2e	1984	Gerhard Frey
+	Quadratische Formen über Q und Qp	1984	Gerhard Frey
+	Quadrate in Qp	1984	Gerhard Frey
+	Komplettierungen von Q	1984	Gerhard Frey
+	Quadratische Zahlkörper	1984	Gerhard Frey
+	Teilbarkeitslehre	1984	Gerhard Frey
+	Elementare Zahlentheorie	1984	Gerhard Frey
+	Kongruenzen	1984	Gerhard Frey
+	Non standard arithmetic and application to height functions	1982	Gerhard Frey
+	Cyclic isogenies and nonstandard arithmetic	1980	Gerhard Frey
+	On the structure of the class group of a function field	1979	Gerhard Frey
+ PDF Chat	Computation of the 2-rank of pure cubic fields	1978	H. Eisenbeis Gerhard Frey B. Ommerborn
+ PDF Chat	Some remarks concerning points of finite order on elliptic curves over global fields	1977	Gerhard Frey
+	Maximal abelsche Erweiterung von Funktionenk�rpern �ber lokalen K�rpern	1977	Gerhard Frey
+	Die Klassengruppen quadratischer und kubischer Zahlk�rper und die Selmergruppen gewisser elliptischer Kurven	1975	Gerhard Frey
+	Approximation Theory and the Rank of Abelian Varieties Over Large Algebraic Fields	1974	Gerhard Frey Moshe Jarden
+	Pseudo algebraically closed fields with non-Archimedean real valuations	1973	Gerhard Frey
+	Elliptische Funktionenk�rper mit schlechter Reduktion und nichttrivialer Hasse-Invariante	1972	Gerhard Frey

Common Coauthors

Coauthor	Papers Together
Tanja Lange	8
Ernst Kani	5
Claus Diem	4
Roberto Avanzi	4
Moshe Jarden	3
Tony Shaska	3
Hans-Georg Rück	2
Roger Oyono	2
Pilar Báyer	1
Marc Perret	1
B. Ommerborn	1
Hans -Georg R�ck	1
J.A. Antoniadis	1
M. Bungert	1
Henri Cohen	1
Roger Oyono¶	1
Joachim Ritter	1
Christophe Doche	1
Abdelmajid Ben Hadj Salem	1
Fréderik Vercauteren	1
Kim Nguyên	1
Henning Stichtenoth	1
Michael R. Müller	1
H. Eisenbeis	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	7
+	Analytic Theory of Elliptic Functions Over Local Fields	1970	Peter Roquette	7
+	Introduction to the Arithmetic Theory of Automorphic Functions	1972	Marvin Tretkoff Goro Shimura	6
+	On Ternary Equations of Fermat Type and Relations with Elliptic Curves	1997	Gerhard Frey	6
+ PDF Chat	Modular curves and the eisenstein ideal	1977	Barry Mazur	6
+	Handbook of Elliptic and Hyperelliptic Curve Cryptography	2005	Henri Cohen Gerhard Frey Roberto Avanzi Christophe Doche Tanja Lange Kim Nguyễn Fréderik Vercauteren	5
+	Propri�t�s galoisiennes des points d'ordre fini des courbes elliptiques	1971	Jean-Pierre Serre	5
+	Points d'ordre $2p^h$ sur les courbes elliptiques	1975	Yves Hellegouarch	4
+	Notes on elliptic curves. II.	1965	B. J. Birch H. P. F. Swinnerton-Dyer	4
+	Duality theorems for curves overP-adic fields	1969	Stephen Lichtenbaum	4
+	Rational isogenies of prime degree	1978	Barry Mazur Dorian Goldfeld	4
+ PDF Chat	Modèles minimaux des variétés abéliennes sur les corps locaux et globaux	1964	André Néron	4
+	CYCLOTOMIC FIELDS AND MODULAR CURVES	1971	Ju I Manin	4
+	Geometric Invariant Theory	1994	David Mumford John E. Fogarty Frances Kirwan	4
+	Endlichkeitss�tze f�r abelsche Variet�ten �ber Zahlk�rpern	1983	Герд Фалтингс	4
+	Bornes pour la torsion des courbes elliptiques sur les corps de nombres	1996	Lo x EF c Merel	4
+	Links between solutions of A−B=C and elliptic curves	1989	Gerhard Frey	4
+ PDF Chat	Algebraic number theory	1999	Kazuya Katô Nobushige Kurokawa Takeshi Saito	4
+	Arithmetic moduli of elliptic curves	1985	Nicholas M. Katz Barry Mazur	3
+	Die Typen der Multiplikatorenringe elliptischer Funktionenkörper	1941	Max Deuring	3
+	An Introduction to the Theory of Groups	1965	Joseph Rotman	3
+	Finite Permutation Groups.	1966	Franklin Haimo Helmut Wielandt	3
+	On modular representations of $$(\bar Q/Q)$$ arising from modular forms	1990	Kenneth A. Ribet	3
+ PDF Chat	Projective p-adic representations of the K-rational geometric fundamental group	2001	Gerhard Frey Ernst Kani	3
+	Sur les coefficients de Fourier des formes modulaires de poids demi-entier	1981	J. L. Waldspurger	3
+	Algebraic Number Fields	1995	Gerald J. Janusz	3
+	Links between stable elliptic curves and certain diophantine equations	1986	Gerhard Frey	3
+	Notes on elliptic curves. I.	1963	B.J. BIRCH H. P. F. Swinnerton-Dyer	3
+	Sur les représentations modulaires de degré 2 de Gal(Q¯/Q)	1987	Jean-Pierre Serre	3
+ PDF Chat	On Unramified Extensions of Function Fields over Finite Fields	2018	Yasutaka Ihara	3
+	Hurwitz spaces of genus 2 covers of an elliptic curve	2003	Ernst Kani	3
+	Geometric Invariant Theory	1965	David Mumford	3
+	Sur l'équation y<sup>2</sup> = x<sup>3</sup> - Ax - B dans les corps p-adiques.	1937	Elisabeth Lutz	2
+	Commutative Ring Theory	1987	H. Matsumura	2
+ PDF Chat	Abelian varieties over finite fields	1969	William C. Waterhouse	2
+	Construction de courbes de genre 2 à partir de leurs modules	1991	Jean-François Mestre	2
+ PDF Chat	Elliptic curves over finite fields and the computation of square roots mod 𝑝	1985	René Schoof	2
+ PDF Chat	On the asymptotic behavior of scaled singular value and 𝑄𝑅 decompositions	1984	G. W. Stewart	2
+	Fundamentals of Diophantine Geometry	1983	Serge Lang	2
+	Modular Forms and Fermat’s Last Theorem	1997	Gary Cornell Joseph H. Silverman Glenn Stevens	2
+	Arithmetic Variety of Moduli for Genus Two	1960	Jun-ichi Igusa	2
+	Die Klassengruppen quadratischer und kubischer Zahlk�rper und die Selmergruppen gewisser elliptischer Kurven	1975	Gerhard Frey	2
+	Endomorphisms of abelian varieties over finite fields	1966	John Tate	2
+	Calculus on Arithmetic Surfaces	1984	Герд Фалтингс	2
+	Linear Series on 4 - Gonal Curves	2000	Marc Coppens Gerriet Martens	2
+	Curves with infinite K-rational geometric fundamental group	2001	Gerhard Frey Ernst Kani	2
+ PDF Chat	The Weil Pairing, and Its Efficient Calculation	2004	Victor S. Miller	2
+	THE THEORY OF COMMUTATIVE FORMAL GROUPS OVER FIELDS OF FINITE CHARACTERISTIC	1963	Yu. I. Manin	2
+	Elliptische Funktionenk�rper mit schlechter Reduktion und nichttrivialer Hasse-Invariante	1972	Gerhard Frey	2
+	Groupes algébriques et corps de classes	1997	Jean Pierre Serre	2