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The Integer Group
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#	Item
21	THE ELLIPTIC CURVE METHOD PAUL ZIMMERMANN The Elliptic Curve Method (ECM for short) was invented in 1985 by H. W. Lenstra, Jr[removed]It is suited to find small — say 9 to 30 digits — prime factors of large numbers. Am Add to Reading List Source URL: www.loria.fr Language: English - Date: 2004-09-06 05:03:02 Cryptography Lenstra elliptic curve factorization Quadratic sieve Integer factorization Elliptic curve Primality test Prime number Prime factor Algebraic-group factorisation algorithm Integer factorization algorithms Abstract algebra Mathematics
22	Lattice Green’s Functions of the Higher-Dimensional Face-Centered Cubic Lattices Christoph Koutschan MSR-INRIA Joint Centre, Orsay, France November 7 Add to Reading List Source URL: algo.inria.fr Language: English - Date: 2011-11-08 08:20:48 Crystallography Group theory Euclidean geometry Lattice Square lattice Brillouin zone Integer lattice Reciprocal lattice Leech lattice Geometry Abstract algebra Lattice points
23	International Mathematical Olympiad 1988 Hong Kong Preliminary Selection Contest Section A A trapezium has perpendicular diagonals and altitude 4. If one of the diagonals has length 5, find the area of the trapezium. (1 Add to Reading List Source URL: www.mathdb.org Language: English - Date: 2004-01-04 14:01:27 Field theory Algebraic number theory Integer sequences Group theory Number Integer Floor and ceiling functions Function Polynomial Mathematics Abstract algebra Elementary mathematics
24	Advanced Topics in Computational Number Theory Henri Cohen This book is a sequel to the author’s earlier work A Course in Computational Algebraic Number Theory which first appeared in 1993, and immediately became the d Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2006-06-26 05:45:44 Field theory Algebraic structures Group theory Class field theory Number theory Kummer theory Integer factorization Dedekind domain Algebraic number field Abstract algebra Algebra Algebraic number theory
25	Implementing the Elliptic Curve Method of Factoring in Reconfigurable Hardware Kris Gaj1 , Soonhak Kwon2 , Patrick Baier1 , Paul Kohlbrenner1 , Hoang Le1 , Mohammed Khaleeluddin1 , Ramakrishna Bachimanchi1 1 Add to Reading List Source URL: www.iacr.org Language: English - Date: 2009-03-05 01:42:52 Finite fields Computer arithmetic Group theory Lenstra elliptic curve factorization Elliptic curves Elliptic curve Montgomery reduction Division ECM Records Abstract algebra Integer factorization algorithms Mathematics
26	CONGRUENT NUMBERS, ELLIPTIC CURVES, AND MODULAR FORMS GUY HENNIART 1. Invitation to the voyage An integer n ≥ 1 is called congruent if it is the area of a right triangle Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:29 Analytic number theory Number theory Group theory Elliptic curve Modular forms Finite fields Birch and Swinnerton-Dyer conjecture Algebraic number field Complex multiplication Abstract algebra Mathematics Mathematical analysis
27	Exploiting the Shapley Value in the Estimation of the Position of a Point of Interest for a Group of Individuals Add to Reading List Source URL: www.affective-sciences.org Language: English - Date: 2015-02-16 14:35:35 Discrete mathematics Combinatorics Integer sequences Fair division Shapley value Factorial Mathematics Game theory Cooperative games
28	UNRAMIFIED DEGREE THREE INVARIANTS OF REDUCTIVE GROUPS A. MERKURJEV Abstract. We prove that if G is a reductive group over an algebraically closed field F , then for a prime integer p 6= char(F ), the group of unramified Add to Reading List Source URL: www.math.uni-bielefeld.de Language: English - Date: 2014-11-24 17:55:06 Group theory Class field theory Galois module Galois theory Group homomorphism Representation theory Étale morphism Essential dimension Gelfand pair Abstract algebra Algebra Algebraic number theory
29	The Function Field Sieve in the Medium Prime Case Antoine Joux1,3 and Reynald Lercier1,2 1 DGA Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:53 Integer factorization algorithms Finite fields Logarithms Group theory Cryptography General number field sieve Discrete logarithm Polynomial Computational complexity theory Abstract algebra Mathematics Algebra
30	ELLIPTIC CURVES COMING FROM HERON TRIANGLES ANDREJ DUJELLA AND JUAN CARLOS PERAL Triangles having rational sides a, b, c and rational area Q are called Heron triangles. Associated to each Heron triangle is the quartic A Add to Reading List Source URL: bib.irb.hr Language: English - Date: 2012-10-20 07:54:38 Number theory Elliptic curve Group theory W2 Integer triangle W postcode area Néron–Tate height Heronian triangle W4 Mathematics Geometry Analytic number theory

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