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Algebraic number field
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1	Algebraic techniques for number field computations (extended abstract) Jean-Fran¸cois Biasse1 , Michael J. Jacobson, Jr.2? , and Alan K. Silvester3 ´ Ecole Polytechnique, 91128 Palaiseau, France Add to Reading List Source URL: www.lix.polytechnique.fr Language: English - Date: 2014-09-02 14:57:05 Algebra Abstract algebra Mathematics Finite fields Group theory Logarithms Algebraic number theory Numerical linear algebra XTR Discrete logarithm Gaussian elimination Quadratic field
2	CLASS FIELD THEORY P. Stevenhagen Explicit Algebraic Number Theory Oberwolfach Seminar November 2002 Add to Reading List Source URL: websites.math.leidenuniv.nl Language: English - Date: 2011-07-09 15:19:17
3	MATH 205 (TOPICS IN ALGEBRAIC NUMBER THEORY) - SPRINGProfessor: Cristian D. Popescu Course Topic: Global Fields Course Description: The main goal of this course is to understand global fields (finite field extensi Add to Reading List Source URL: www.math.ucsd.edu Language: English - Date: 2013-03-11 21:56:25
4	The Id`ele Class Group Hendrik Lenstra 1. Definitions Let K be an algebraic number field. Let p be a prime of K. We denote by Kp the completion of K at the prime p: if p is a finite place, then Kp is a non-archimedean Add to Reading List Source URL: websites.math.leidenuniv.nl Language: English - Date: 2005-10-10 10:30:10
5	APPEARED IN BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY Volume 31, Number 1, July 1994, Pages 1-14 SELBERG’S CONJECTURES AND ARTIN L-FUNCTIONS Add to Reading List Source URL: www.mast.queensu.ca Language: English - Date: 2006-06-23 14:05:32 Algebra Abstract algebra Mathematics Conjectures Automorphic forms Class field theory Representation theory of Lie groups Algebraic number theory Artin L-function Selberg class Langlands program RamanujanPetersson conjecture
6	ON A PROPERNESS OF THE HILBERT EIGENVARIETY AT INTEGRAL WEIGHTS: THE CASE OF QUADRATIC RESIDUE FIELDS SHIN HATTORI Abstract. Let p be a rational prime. Let F be a totally real number field such that F is unramified over Add to Reading List Source URL: www2.math.kyushu-u.ac.jp Language: English - Date: 2016-06-23 04:10:37 Algebra Mathematics Abstract algebra Modular forms Field theory Analytic number theory Operator theory Algebraic geometry Eigenform P-adic modular form Elliptic curve Valuation
7	MATHEMATICS OF COMPUTATION SArticle electronically published on February 15, 2002 CLASS NUMBERS OF REAL CYCLOTOMIC FIELDS OF PRIME CONDUCTOR Add to Reading List Source URL: www.mat.uniroma2.it Language: English - Date: 2002-11-22 18:43:22 Algebra Abstract algebra Mathematics Commutative algebra Algebraic structures Ring theory Homological algebra Algebraic number theory Algebraic number field Divisor Gorenstein ring Ring
8	35 Documenta Math. On the Image of l-Adic Galois Representations for Abelian Varieties of Type I and II Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2006-11-21 15:14:15 Algebra Abstract algebra Mathematics Algebraic number theory Scheme theory Field theory Algebraic geometry Lie algebra Galois module Group scheme Ring Sheaf
9	347 Documenta Math. On the Solutions of Quadratic Diophantine Equations Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2010-05-08 16:46:12 Mathematics Algebraic number field Algebraic number theory Field theory Polar coordinate system Symbol
10	A generalisation of Miller’s algorithm and applications to pairing computations on abelian varieties David Lubicz1,2 , Damien Robert3 1 Add to Reading List Source URL: www.normalesup.org Language: English - Date: 2014-06-09 16:46:59 Mathematical analysis Abstract algebra Mathematics Elliptic functions Riemann surfaces Group theory Theta function Elliptic curve Divisor Algebraic number field ZQ

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