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Modular curve
Results: 230

#	Item
51	Simplified Settings for Discrete Logarithms in Small Characteristic Finite Fields Antoine Joux CryptoExperts, Fondation UPMC, LIP6, INRIA/Ouragan Joint work with Cécile Pierrot Add to Reading List Source URL: www.iacr.org Language: English - Date: 2015-03-30 09:17:58 Logarithms Computational hardness assumptions Finite fields Modular arithmetic Discrete logarithm Index calculus algorithm Hyperelliptic curve Elliptic curve Pohlig–Hellman algorithm Abstract algebra Mathematics Group theory
52	Michael Rubinstein, CV Citizenship: Canadian. Born: 1971, Montreal. Degrees Ph.D. M.A. B.A. Add to Reading List Source URL: www.math.uwaterloo.ca Language: English - Date: 2015-03-10 21:34:45 Abstract algebra Year of birth missing Automorphic form Number theory Modular form Brian Conrey L-function Elliptic curve Nina Snaith Mathematics Mathematical analysis Analytic number theory
53	Some fundamental results on modular forms Jordan Bell May 2, 2007 1 Add to Reading List Source URL: individual.utoronto.ca Language: English - Date: 2011-12-12 23:49:03 Analytic number theory Mathematical series Complex analysis Laurent series Eisenstein series Modular group Petersson inner product Mock modular form Modular curve Mathematical analysis Modular forms Mathematics
54	Fast hashing to G2 on pairing friendly curves Michael Scott, Naomi Benger, Manuel Charlemagne, Luis J. Dominguez Perez, and Ezekiel J. Kachisa School of Computing Dublin City University Ballymun, Dublin 9, Ireland. Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2008-12-18 11:36:28 Mathematics Supersingular elliptic curve Hyperelliptic curve cryptography Curve Hessian form of an elliptic curve Classical modular curve Abstract algebra Elliptic curves Cryptography
55	A DISCURSUS ON 21 AS A BOUND FOR RANKS OF ELLIPTIC CURVES OVER Q, AND SUNDRY RELATED TOPICS 1. Introduction In the last paragraph of [30, §4], it was mentioned that a “forthcoming paper” of the author and A. Granvil Add to Reading List Source URL: magma.maths.usyd.edu.au Language: English - Date: 2014-11-05 20:47:51 Analytic number theory Number theory Elliptic curve Group theory Modular form Birch and Swinnerton-Dyer conjecture Curve Algebraic number field Supersingular elliptic curve Abstract algebra Mathematics Mathematical analysis
56	Universally Constructing 12-th Degree Extension Field for Ate Pairing Masaaki Shirase School of Systems Information, Future University Hakodate, 116-2 Kamedanakano, Hakodate, Hokkaido, Japan Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2010-02-18 23:01:15 Modular arithmetic Quadratic residue Algebraic number theory Group theory Cubic reciprocity Legendre symbol Prime number Elliptic curve Finite field Abstract algebra Number theory Mathematics
57	Efficient Java Implementation of Elliptic Curve Cryptography for J2ME-Enabled Mobile Devices Johann Großsch¨adl1 , Dan Page2 , and Stefan Tillich2 1 University of Luxembourg, CSC Research Unit, LACS, Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2012-08-28 16:24:04 Computer arithmetic Finite fields Group theory Binary arithmetic Cryptography Elliptic curve cryptography Arbitrary-precision arithmetic Modular arithmetic XTR Abstract algebra Mathematics Arithmetic
58	Two Exponentiation Algorithms Resistant to Cross-correlation Power Analysis and to Other Known Attacks Yaacov Belenky, Zeev Geyzel, Michael Kara-Ivanov, and Avraham Entelis NDS Technologies Israel Ltd., Shlomo haLevi Str Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2012-12-26 09:40:24 Exponentials Modular arithmetic Binary operations Computer arithmetic Public-key cryptography Modular exponentiation Addition-chain exponentiation Exponentiation Elliptic curve cryptography Mathematics Cryptography Abstract algebra
59	Satake compactications, Lattices and Schottky problem Giulio Codogni University of Cambridge Selwyn College Add to Reading List Source URL: ricerca.mat.uniroma3.it Language: English - Date: 2014-06-09 03:35:57 Algebraic curves Moduli theory Abelian varieties Riemann surfaces Schottky problem Modular form Hyperelliptic curve Moduli space Jacobian variety Algebraic geometry Abstract algebra Geometry
60	TWISTS OF X(7) AND PRIMITIVE SOLUTIONS TO x2 + y 3 = z 7 BJORN POONEN, EDWARD F. SCHAEFER, AND MICHAEL STOLL Abstract. We find the primitive integer solutions to x2 + y 3 = z 7 . A nonabelian descent argument involving t Add to Reading List Source URL: math.mit.edu Language: English - Date: 2008-07-06 19:05:58 Algebraic curves Group theory Algebraic number theory Elliptic curve J-invariant Algebraic number field Modular curve Μ operator Classical modular curve Abstract algebra Analytic number theory Modular forms