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Discriminant of an algebraic number field
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11	M a 160c GLOBAL CLASS FIELD THEORY HOMEWORK SET 1 Spring 2012 INSTRUCTOR: Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2012-04-27 14:55:10 Algebraic number theory Structure Discriminant of an algebraic number field Ring theory Mathematics Ring
12	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
13	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
14	C OMPOSITIO M ATHEMATICA D IPENDRA P RASAD On an extension of a theorem of Tunnell Compositio Mathematica, tome 94, no[removed]), p[removed]. Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2006-11-13 17:52:15 Algebraic number theory Combinatorics Integer sequences XTR Fourier transform Factorial Discriminant of an algebraic number field Representation theory of finite groups Mathematics Mathematical analysis Abstract algebra
15	ON LINEAR COMBINATIONS OF UNITS WITH BOUNDED COEFFICIENTS AND DOUBLE-BASE DIGIT EXPANSIONS ¨ DANIEL KRENN, JORG THUSWALDNER, AND VOLKER ZIEGLER Add to Reading List Source URL: finanz.math.tu-graz.ac.at Language: English - Date: 2012-05-21 07:47:57 Algebraic number theory Field theory Algebraic integer Integers Algebraic number field Diophantine approximation Discriminant of an algebraic number field Auxiliary function Mathematics Abstract algebra Mathematical analysis
16	MP473 EXAM, Semester 2, 1994 (In what follows, OK denotes the ring of integers in an algebraic number field K. Also if θ ∈ K, mθ (x) denotes the minimum polynomial of θ.) 1. Define the terms integral basis of K, DK Add to Reading List Source URL: www.numbertheory.org Language: English - Date: 2000-10-10 01:19:38 Ideals Field theory Connection Differential geometry Discriminant of an algebraic number field Abstract algebra Algebraic number theory Ideal class group
17	ERROR ESTIMATES FOR THE DAVENPORT–HEILBRONN THEOREMS KARIM BELABAS, MANJUL BHARGAVA, AND CARL POMERANCE Abstract. We obtain the first known power-saving remainder terms for the theorems of Davenport and Heilbronn on th Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2009-07-07 15:32:50 Algebraic number theory Cubic field Algebraic number field XTR Discriminant Discriminant of an algebraic number field Elliptic curve Abstract algebra Algebra Mathematics
18	Generalised Weber Functions Fran¸cois Morain INRIA Saclay–ˆIle-de-France Add to Reading List Source URL: www.lix.polytechnique.fr Language: English - Date: 2009-04-17 10:24:36 Modular arithmetic Quadratic forms Algebraic number theory Quadratic residue Analytic number theory Modular form Symbol Discriminant of an algebraic number field Quadratic reciprocity Mathematics Abstract algebra Algebra
19	Class Number Theory Steven Finch May 26, 2005 Add to Reading List Source URL: www.people.fas.harvard.edu Language: English - Date: 2006-01-08 09:59:24 Mathematics Quadratic forms Fundamental discriminant Binary quadratic form Narrow class group Ideal class group Discriminant Discriminant of an algebraic number field Class number formula Algebra Abstract algebra Algebraic number theory

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