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Genus theory
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#	Item
41	A LOWER BOUND ON THE SIZE OF BINARY CODES PETER J. MCNAMARA Abstract. In this paper, we construct some nonlinear binary codes that give good (but not optimally known) lower bounds on the size of binary codes with fixed l Add to Reading List Source URL: www.maths.usyd.edu.au Language: English - Date: 2013-07-01 22:40:26 Mathematical analysis Field theory Finite field Differential operators Number theory Coding theory Wozencraft ensemble Genus of a multiplicative sequence Abstract algebra Mathematics Error detection and correction
42	A Desingularization of the Main Component of the Moduli Space of Genus-One Stable Maps into Pn Ravi Vakil∗ and Aleksey Zinger† September 7, 2007 Abstract Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2007-09-07 17:58:58 Moduli theory Differential topology String theory Symplectic topology Moduli space Blowing up Resolution of singularities Orbifold Stable map Abstract algebra Algebraic geometry Geometry
43	Fast arithmetic and pairing evaluation on genus 2 curves David Freeman University of California, Berkeley [removed] November 6, 2005 Add to Reading List Source URL: theory.stanford.edu Language: English - Date: 2008-06-06 19:27:47 Group theory Polynomial Euclidean algorithm Finite fields Elliptic curves Integer factorization algorithms Lenstra elliptic curve factorization Factorization of polynomials over a finite field and irreducibility tests Abstract algebra Mathematics Algebra
44	Factoring Class Polynomials over the Genus Field Marcel Martin [removed] March 6, 2010 Abstract Add to Reading List Source URL: www.ellipsa.eu Language: English - Date: 2010-03-06 16:55:33 Algebraic number theory Discriminant Elliptic curve Quadratic form Fundamental discriminant Splitting field Discriminant of an algebraic number field Algebraic number field Abstract algebra Algebra Mathematics
45	ELLIPTIC SPECTRA, THE WITTEN GENUS AND THE THEOREM OF THE CUBE M. ANDO, M. J. HOPKINS, AND N. P. STRICKLAND Contents 1. Introduction Add to Reading List Source URL: www.math.rochester.edu Language: English - Date: 2004-04-28 11:11:11 Algebraic topology Cohomology theories Analytic number theory Algebraic groups Elliptic cohomology Elliptic curve Topological modular forms Atiyah–Singer index theorem Modular form Abstract algebra Algebra Mathematics
46	REAL QUADRATIC FIELDS WITH ABELIAN 2-CLASS FIELD TOWER ELLIOT BENJAMIN DEPARTMENT OF MATHEMATICS UNITY COLLEGE, UNITY, ME[removed]AND Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2005-03-25 13:48:58 Class number formula Quadratic field Discriminant Ideal class group Field extension Quaternion algebra Genus field Algebraic number field Class field theory Abstract algebra Algebra Algebraic number theory
47	THE DEVELOPMENT OF THE PRINCIPAL GENUS THEOREM FRANZ LEMMERMEYER Introduction Genus theory belongs to algebraic number theory and, in very broad terms, deals with the part of the ideal class group of a number field that Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:19:38 Algebraic number theory Quadratic forms Modular arithmetic Number theory Quadratic residue Binary quadratic form Quadratic reciprocity Ideal class group Algebraic number field Abstract algebra Mathematics Algebra
48	A Note on P´epin’s counter examples to the Hasse principle for curves of genus 1 Franz Lemmermeyer Bilkent University[removed]Bilkent, Ankara September 11, 2003 Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:04:04 Algebraic number theory Modular arithmetic Field theory Analytic number theory Elliptic curve Quadratic reciprocity Infinite descent Algebraic number field P-adic number Mathematics Abstract algebra Number theory
49	LOWER BOUNDS FOR THE PRINCIPAL GENUS OF DEFINITE BINARY QUADRATIC FORMS arXiv:0811.0358v2 [math.NT] 25 Oct[removed]KIMBERLY HOPKINS AND JEFFREY STOPPLE Add to Reading List Source URL: arxiv.org Language: English - Date: 2013-02-23 21:39:50 Arithmetic functions Integer sequences Prime number theorem Chebyshev function Big O notation Exponentiation Prime number Riemann hypothesis Prime gap Mathematics Mathematical analysis Number theory

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