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Algebraic number field
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641	EXPLICIT COMPUTATION OF GROSS-STARK UNITS OVER REAL QUADRATIC FIELDS BRETT A. TANGEDAL AND PAUL T. YOUNG Dedicated to the memory of David R. Hayes Abstract. We present an effective and practical algorithm for computing G Add to Reading List Source URL: youngp.people.cofc.edu Language: English - Date: 2012-11-29 19:03:18 Algebraic number theory Conjectures Number theory Brumer–Stark conjecture Algebraic number field Bernoulli number P-adic number Artin reciprocity law Valuation Abstract algebra Mathematics Field theory
642	mem-dwork.qxp[removed]:21 AM Page 338 Bernard Dwork (1923–[removed]All photographs courtesy of Shirley Dwork. Add to Reading List Source URL: youngp.people.cofc.edu Language: English - Date: 2003-01-09 20:13:17 Field theory Homological algebra Cohomology theories Conjectures Number theory Algebraic number field Crystalline cohomology Weil conjectures Étale cohomology Abstract algebra Mathematics Algebra
643	THE SEARCH FOR AURIFEUILLIAN-LIKE FACTORIZATIONS S. S. Wagstaff, Jr.1 Department of Computer Science, Purdue University, West Lafayette, IN 47097, USA [removed] Add to Reading List Source URL: homes.cerias.purdue.edu Language: English - Date: 2013-01-05 08:22:22 Polynomials Integer sequences Algebraic number theory Number theory Algebraic numbers Factorization Prime number Cunningham project Cyclotomic field Mathematics Abstract algebra Numbers
644	CADO-NFS: An Implementation of The Number Field Sieve Paul Zimmermann INRIA Nancy - Grand Est Paul Zimmermann Add to Reading List Source URL: www.loria.fr Language: English - Date: 2009-06-06 08:15:15 General number field sieve Algebra Polynomial Algebraic number field XTR Prime number Integer factorization algorithms Abstract algebra Mathematics
645	p-ADIC HEIGHTS OF HEEGNER POINTS AND ANTICYCLOTOMIC Λ-ADIC REGULATORS JENNIFER S. BALAKRISHNAN, MIRELA C ¸ IPERIANI, AND WILLIAM STEIN Abstract. Let E be an elliptic curve defined over Q. The aim of this paper is to m Add to Reading List Source URL: wstein.org Language: English - Date: 2012-10-11 13:19:08 Algebraic number theory Field theory Number theory Modular forms Symbol P-adic number Quadratic form Ring of integers Algebraic number field Abstract algebra Algebra Mathematics
646	References [1] Bernardi, D., Perrin-Riou, B.: Variante p-adique de la conjecture de Birch et Swinnerton-Dyer (le cas supersingulier). C. R. Acad. Sci. Paris S´er. I Math[removed]), no. 3, 227–[removed]Besser, A.: Th Add to Reading List Source URL: www.math.sci.osaka-u.ac.jp Language: English - Date: 2012-04-20 10:21:48 Elliptic curves Field theory Algebraic geometry Algebraic number theory P-adic number Birch and Swinnerton-Dyer conjecture P-adic L-function Néron–Tate height Iwasawa theory Abstract algebra Mathematics Number theory
647	LECTURE 1. ARITHMETIC OF ARTIN REPRESENTATIONS Abstract: The field Q Ą Q of algebraic numbers and its group G of symmetries occupy pride of place among the structures that number theorists seek to elucidate. It is by no Add to Reading List Source URL: www.math.mcmaster.ca - Date: 2013-11-05 10:02:47
648	MULTIPLICITIES OF CLASSICAL VARIETIES arXiv:1308.0582v2 [math.AC] 22 Apr 2014 Add to Reading List Source URL: arxiv.org Language: English - Date: 2014-04-22 20:45:56 Intersection theory Intersection number Polynomial Ample line bundle Ring Spectral theory of ordinary differential equations Algebraic number field Abstract algebra Algebra Mathematics
649	Finite Fields and Pseudo-Random Number Generation Carl Offner Add to Reading List Source URL: www.cs.umb.edu Language: English - Date: 2007-02-04 21:01:12 Modular arithmetic Integer sequences Algebraic number theory Prime number Coprime Euclidean algorithm Finite field Congruence relation Fundamental theorem of arithmetic Mathematics Number theory Abstract algebra
650	Algebraic Number Theory J.S. Milne Add to Reading List Source URL: www.jmilne.org Language: English - Date: 2011-09-23 08:53:24 Field theory Ring theory Commutative algebra Algebraic structures Algebraic number field Ideal class group Dedekind domain Cyclotomic field Quadratic field Abstract algebra Algebra Algebraic number theory

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