SU\G(𝔸)/K·U

Alexander Abatzoglou

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All published works
Action Title Year Authors
+ PDF Chat A framework for deterministic primality proving using elliptic curves with complex multiplication 2015 Alexander Abatzoglou
Alice Silverberg
Andrew V. Sutherland
Angela Wong
+ PDF Chat Deterministic elliptic curve primality proving for a special sequence of numbers 2013 Alexander Abatzoglou
Alice Silverberg
Andrew V. Sutherland
Angela Wong
Common Coauthors
Coauthor Papers Together
Andrew V. Sutherland 2
Alice Silverberg 2
Angela Wong 2
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Primality testing using elliptic curves 1999 Shafi Goldwasser
Joe Kilian
 2
+ PDF Chat Primality Testing with Gaussian Periods 2002 H. W. Lenstra
 2
+ PDF Chat PRIMES is in P 2004 Manindra Agrawal
Neeraj Kayal
Nitin Saxena
 2
+ PDF Chat Reciprocity laws: from Euler to Eisenstein 2001 Franz Lemmermeyer
 2
+ Elliptic curves and number-theoretic algorithms 1986 H. W. Lenstra
 2
+ Pseudoprimes on elliptic curves 1989 Daniel M. Gordon
 2
+ Primality testing through algebraic groups 2009 Alexander Gurevich
Boris Kunyavskiı̆
 2
+ PDF Chat Elliptic curves and primality proving 1993 A. O. L. Atkin
François Morain
 2
+ Primality tests for 2^{𝑝}±2^{(𝑝+1)/2}+1 using elliptic curves 2011 Yu Tsumura
 2
+ PDF Chat Counting Points on $CM$ Elliptic Curves 1996 H. Stärk
 2
+ An elliptic curve test for Mersenne primes 2005 Benedict H. Gross
 2
+ Prime Numbers: A Computational Perspective 2012 Richard E. Crandall
Carl Pomerance
 2
+ PDF Chat Very Short Primality Proofs 1987 Carl Pomerance
 2
+ Sequences of numbers generated by addition in formal groups and new primality and factorization tests 1986 D. V. Chudnovsky
G. V. Chudnovsky
 2
+ Deterministic primality tests based on tori and elliptic curves 2011 Alexander Gurevich
Boris Kunyavskiı̆
 2
+ Elliptic curve primality tests for Fermat and related primes 2008 Robert Denomme
Gordan Savin
 2
+ PDF Chat Implementing the asymptotically fast version of the elliptic curve primality proving algorithm 2006 François Morain
 2
+ A Course in Arithmetic 1973 Jean Pierre Serre
 2
+ Advanced Topics in the Arithmetic of Elliptic Curves 1994 Joseph H. Silverman
 2
+ Almost all primes can be quickly certified 1986 S. Goldwasser
Joe Kilian
 2
+ PDF Chat Very short primality proofs 1987 Carl Pomerance
 2
+ PDF Chat Even faster integer multiplication 2014 David J. Harvey
Joris van der Hoeven
Grégoire Lecerf
 1
+ Testing Mersenne Primes with Elliptic Curves 2006 Song Y. Yan
G. James
 1
+ Dual Elliptic Primes and Applications to Cyclotomy Primality Proving 2007 Preda Mihăilescu
 1
+ On the Evaluation of Powers 1976 Andrew Chi-Chih Yao
 1
+ PDF Chat Point counting on reductions of CM elliptic curves 2009 Karl Rubin
Alice Silverberg
 1
+ Introduction to the Arithmetic Theory of Automorphic Functions 1972 Marvin Tretkoff
Goro Shimura
 1
+ An Extended Theory of Lucas' Functions 1930 D. H. Lehmer
 1
+ Number Theory 1: Fermat's Dream 2000 Kazuya Kato
Nobushige Kurokawa
Takeshi Saito
 1
+ Graduate Texts in Mathematics 1977 Rajendra Bhatia
Glen Bredon
Wolfgang Walter
Joseph Rotman
M. Ram Murty
Jane Gilman
Peter Walters
Martin Golubitsky
Ioannis Karatzas
Henri Cohen
 1
+ PDF Chat Deterministic elliptic curve primality proving for a special sequence of numbers 2013 Alexander Abatzoglou
Alice Silverberg
Andrew V. Sutherland
Angela Wong
 1
+ PDF Chat Modular Multiplication Without Trial Division 1985 Peter L. Montgomery
 1
+ A Course in Arithmetic 1973 Jean-Pierre Serre
 1
+ PDF Chat Speeding the Pollard and Elliptic Curve Methods of Factorization 1987 Peter L. Montgomery
 1
+ The Arithmetic of Elliptic Curves 2009 Joseph H. Silverman
 1
+ PDF Chat The Arithmetic of Elliptic Curves 1986 Joseph H. Silverman
 1