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Algebraic number field
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341	A TAXONOMY OF PAIRING-FRIENDLY ELLIPTIC CURVES DAVID FREEMAN1 , MICHAEL SCOTT2 , AND EDLYN TESKE3 1 CWI and Universiteit Leiden Science Park 123, 1098 XG Amsterdam, The Netherlands Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2009-11-20 10:42:19 Elliptic curves Elliptic curve Supersingular elliptic curve Weil pairing Pairing Curve Algebraic number field Elliptic curve cryptography Elliptic divisibility sequence Abstract algebra Mathematics Algebra
342	Chapter 10 Orderings and valuations 10.1 Ordered fields and their natural valuations Add to Reading List Source URL: math.usask.ca Language: English - Date: 2011-07-14 03:23:21 Valuation ring Henselian ring Valuation Archimedean property Ordered field Formally real field Algebraic closure Prime number Field extension Abstract algebra Algebra Field theory
343	Math 259: Introduction to Analytic Number Theory The Riemann zeta function and its functional equation (and a review of the Gamma function and Poisson summation) Recall Euler’s identity: [ζ(s) :=] Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2003-02-23 18:06:50 Meromorphic functions Joseph Fourier Fourier analysis Riemann zeta function Fourier transform Gamma function Fourier series Algebraic number field Euler–Maclaurin formula Mathematical analysis Mathematics Analytic number theory
344	The Birch and Swinnerton-Dyer Conjecture for Abelian Varieties over Number Fields Andrei Jorza April 4, 2005 Contents Add to Reading List Source URL: www.its.caltech.edu Language: English - Date: 2011-01-25 19:41:40 Field theory Algebraic geometry Algebraic groups Algebraic number theory Abelian variety Group scheme Field extension Scheme Valuation Abstract algebra Algebra Scheme theory
345	Algebraic Number Theory, a Computational Approach William Stein November 14, 2012 2 Add to Reading List Source URL: sage.math.washington.edu Language: English - Date: 2012-11-14 13:32:54 Field theory Galois theory Algebraic number field Class field theory Ideal class group Galois module Prime number Field Galois cohomology Abstract algebra Algebra Algebraic number theory
346	A NON-FREE RELATIVE INTEGRAL EXTENSION KEITH CONRAD 1. Introduction The ring of integers of any algebraic number field is free as a Z-module. More precisely, if [K : Q] = n, then there are ω1 , . . . , ωn such that Add to Reading List Source URL: www.math.uconn.edu Language: English - Date: 2010-07-30 13:32:03 Field theory Commutative algebra Homological algebra Module theory Algebraic number field Algebraic integer Ring of integers Torsion Integral element Abstract algebra Algebra Algebraic number theory
347	On Class Group Computations Using the Number Field Sieve Mark L. Bauer1 and Safuat Hamdy2 1 University of Waterloo Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:54 Integer factorization algorithms Quadratic sieve General number field sieve Special number field sieve Elliptic curve Polynomial Hyperelliptic curve Quadratic form Algebraic number field Abstract algebra Algebra Mathematics
348	Automorphisms of even unimodular lattices and unramified Salem numbers Benedict H. Gross and Curtis T. McMullen 1 January, 2002 Abstract Add to Reading List Source URL: math.harvard.edu Language: English - Date: 2010-04-02 19:43:40 Polynomials Quadratic forms Linear algebra Algebraic number field Monic polynomial Field extension Cyclotomic polynomial Irreducible polynomial Inverse Galois problem Algebra Mathematics Abstract algebra
349	Powers of rationals modulo 1 and rational base number systems Shigeki Akiyama∗ Christiane Frougny† Add to Reading List Source URL: perso.telecom-paristech.fr Language: English - Date: 2007-01-19 05:28:59 Number theory Algebraic geometry Valuation Coprime Non-integer representation Rational number Transcendental number Pumping lemma for regular languages Automatic sequence Mathematics Abstract algebra Field theory
350	Vanishing of the µ–invariant of p–adic Hecke L–functions Haruzo Hida Abstract We prove vanishing of the µ-invariant of the p-adic Katz L-function in [K]. 1. Introduction Add to Reading List Source URL: www.math.ucla.edu Language: English - Date: 2011-06-29 17:42:30 Field theory Symbol Valuation Algebraic number field Modular form Spectral theory of ordinary differential equations Beta code Abstract algebra Algebra Mathematics

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