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971	Chapter 4 Factoring of Prime Ideals in Extensions 4.1 Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2009-03-16 22:58:56 Algebraic number theory Commutative algebra Ring theory Modular arithmetic Number theory Integral domain Unique factorization domain Prime ideal Quadratic residue Abstract algebra Algebra Mathematics
972	Chapter 5 The Ideal Class Group We will use Minkowski theory, which belongs to the general area of geometry of numbers, to gain insight into the ideal class group of a number ﬁeld. We have already mentioned the ideal Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2009-03-16 23:00:49 Algebraic number theory Ideal Lp space Μ operator Discriminant of an algebraic number field Abstract algebra Algebra Mathematics
973	NATURAL BOUNDARIES AND THE CORRECT NOTION OF INTEGRAL MOMENTS OF L–FUNCTIONS Adrian Diaconu, Paul Garrett and Dorian Goldfeld Abstract. It is shown that a large class of multiple Dirichlet series which arise naturally Add to Reading List Source URL: www.math.columbia.edu Language: English - Date: 2009-09-18 11:32:11 Mathematics Analytic number theory Gamma function Riemann zeta function Residue Algebraic number field Special functions Polylogarithm Real analytic Eisenstein series Mathematical analysis Abstract algebra Meromorphic functions
974	Table of Contents Chapter 1 Introduction 1.1 Integral Extensions Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2009-03-16 23:30:52 Quadratic field Ideal class group Dedekind domain Unique factorization domain Extension Prime number Cyclotomic field Algebraic number field Discriminant of an algebraic number field Abstract algebra Algebraic number theory Algebra
975	Index absolute value, 9.1.1 on the rationals, 9.2.2, 9.2.3 AKLB setup, 2.2.1 algebraic integer, 1.1.1 approximation theorem, 9.3.3 Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2009-03-16 23:29:21 Commutative algebra Localization Ring theory Algebraic number theory P-adic number Valuation Absolute value Integral element Prime number Abstract algebra Algebra Field theory
976	Bruce McCarl's GAMS Newsletter Number 15 Add to Reading List Source URL: www.gams.com Language: English - Date: 2008-07-25 06:05:35 Mathematical notation Tuple Type theory Market AS/400 Control Language Mean Knowledge Structure General Algebraic Modeling System Mathematics Scripting languages Data management
977	1 A Course In Algebraic Number Theory Robert B. Ash Preface Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2009-02-20 22:58:49 Field theory Algebraic number field Dedekind domain Cyclotomic field Field Algebraic number Number theory Graduate Texts in Mathematics Algebraic statistics Abstract algebra Algebraic number theory Algebra
978	Chapter 8 Factoring of Prime Ideals in Galois Extensions 8.1 Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2008-05-07 12:04:09 Algebraic number theory Field theory Splitting of prime ideals in Galois extensions Artin reciprocity law Frobenius endomorphism Field Galois group Fundamental theorem of Galois theory Proofs of quadratic reciprocity Abstract algebra Algebra Galois theory
979	Chapter 1 Introduction Techniques of abstract algebra have been applied to problems in number theory for a long time, notably in the eﬀort to prove Fermat’s last theorem. As an introductory example, we will sketch a Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2008-08-05 22:17:48 Commutative algebra Algebraic structures Prime ideals Localization Integral element Ring Integral domain Ideal Local ring Abstract algebra Algebra Ring theory
980	Curriculum Vitae Jay Daigle Office Address: California Institute of Technology Mail Code[removed]Pasadena, CA 91125 Add to Reading List Source URL: jaydaigle.net Language: English - Date: 2014-06-04 22:53:08 Number theory Conjectures Algebraic geometry Hodge theory Algebraic number theory Matthias Flach P-adic Hodge theory Motive P-adic number Abstract algebra Mathematics Algebra

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