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Artin reciprocity law
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1	997 Documenta Math. On Artin Representations and Nearly Ordinary Hecke Algebras Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2013-08-07 16:11:32 Class field theory Algebraic number theory Galois theory Field theory Representation theory Artin L-function Galois module Algebraic number field Artin reciprocity law Conductor Artin conductor Artin
2	73 Documenta Math. On the Equivariant Tamagawa Number Conjecture Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2006-05-06 08:16:28 Class field theory Field theory Cyclotomic fields Algebraic number theory Algebraic geometry Conductor Iwasawa theory Algebraic number field Complex multiplication Motive Dirichlet L-function Artin reciprocity law
3	The Polya-Vinogradov inequality Jordan Bell Department of Mathematics, University of Toronto April 3, 2014 Let χ : Z → C be a primitive Dirichlet character modulo m. χ being a Add to Reading List Source URL: individual.utoronto.ca Language: English - Date: 2014-04-03 12:53:15 Class field theory Cyclotomic fields Dirichlet character Gauss sum Character sum Conductor Artin reciprocity law Modular arithmetic Dirichlet L-function Abstract algebra Mathematics Number theory
4	Class Field Theory in Characteristic p, its Origin and Development Peter Roquette ∗ Add to Reading List Source URL: empslocal.ex.ac.uk Language: English - Date: 2004-11-03 10:19:07 Algebra Helmut Hasse Class field theory David Hilbert Emmy Noether Reciprocity law Emil Artin Zahlbericht Field Abstract algebra Mathematics Algebraic number theory
5	A GROSS-ZAGIER FORMULA FOR QUATERNION ALGEBRAS OVER TOTALLY REAL FIELDS EYAL Z. GOREN & KRISTIN E. LAUTER Abstract. We prove a higher dimensional generalization of Gross and Zagier’s theorem on the factorization of dif Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2011-12-08 21:38:03 Number theory Modular arithmetic Analytic number theory Class field theory Symbol Artin reciprocity law Frobenius endomorphism Valuation Modular form Abstract algebra Mathematics Algebraic number theory
6	ON THE 2-CLASS FIELD TOWER OF A QUADRATIC NUMBER FIELD HELMUT KOCH 1. Introduction Let k = k (0,2) be a quadratic number field with discriminant ∆. For n ≥ Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2004-02-22 07:56:02 Field theory Galois theory Quadratic field Algebraic number field Class field theory Ideal class group Kummer theory Galois group Artin reciprocity law Abstract algebra Algebra Algebraic number theory
7	AN INTRODUCTION TO THE GROSS-ZAGIER FORMULA DICK GROSS (NOTES TAKEN BY YIHANG ZHU) Contents 1. The BSD Conjecture Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-10-07 12:17:34 Analytic number theory Number theory Symbol Modular form Artin reciprocity law Elliptic curve Algebraic number field Birch and Swinnerton-Dyer conjecture Gelfand pair Abstract algebra Mathematics Mathematical analysis
8	SELMER GROUPS AND QUADRATIC RECIPROCITY FRANZ LEMMERMEYER Abstract. In this article we study the 2-Selmer groups of number fields F as well as some related groups, and present connections to the quadratic reciprocity law Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2005-03-14 17:20:19 Algebraic number theory Modular arithmetic Quadratic residue Class field theory Quadratic reciprocity Reciprocity law Selmer group Algebraic number field Artin reciprocity law Abstract algebra Mathematics Number theory
9	ON 2-CLASS FIELD TOWERS OF SOME IMAGINARY QUADRATIC NUMBER FIELDS FRANZ LEMMERMEYER Abstract. We construct an infinite family of imaginary quadratic number fields with 2-class groups of type (2, 2, 2) whose Hilbert 2-cla Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:05 Class field theory Field theory Artin reciprocity law Hilbert class field Class number formula Field extension Conductor Algebraic number field Normal extension Abstract algebra Algebra Algebraic number theory
10	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