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Algebraic number field
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121	615 Documenta Math. Kida’s Formula and Congruences To John Coates, for his 60th birthday Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2006-11-21 15:14:31 Algebraic number theory Galois theory Class field theory Field theory Cyclotomic fields Algebraic number field Main conjecture of Iwasawa theory Selmer group Iwasawa theory Galois module Splitting of prime ideals in Galois extensions Local class field theory
122	TOPICS IN ABSOLUTE ANABELIAN GEOMETRY III: GLOBAL RECONSTRUCTION ALGORITHMS Shinichi Mochizuki November 2015 Abstract. In the present paper, which forms the third part of a three-part series Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2015-11-02 21:47:42 Algebraic number theory Galois theory Algebraic geometry Number theory Field theory Shinichi Mochizuki Anabelian geometry tale fundamental group P-adic Hodge theory Ring Frobenius endomorphism Group theory
123	SERRE’S CONJECTURE OVER IMAGINARY QUADRATIC FIELDS By Mehmet Haluk S ¸ eng¨ Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2009-01-20 05:56:15 Algebraic number theory Conjectures Galois theory Modular forms Analytic number theory Galois module Jean-Pierre Serre Hecke operator Automorphic form Algebraic number field variste Galois RamanujanPetersson conjecture
124	131 Documenta Math. Degeneration of Polylogarithms and Special Values of L-Functions for Totally Real Fields Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2009-02-25 10:07:03 Algebraic number theory Special functions Group cohomology Group theory Homological algebra Algebraic number field Abelian variety Polylogarithm Ring Modular form ArtinVerdier duality
125	EVIDENCE FOR THE DYNAMICAL BRAUER-MANIN CRITERION ¨ KURLBERG, KHOA NGUYEN, ADAM TOWSLEY, BIANCA VIRAY, EKATERINA AMERIK, PAR ´ FELIPE VOLOCH AND JOSE Abstract. Let ϕ : X → X be a morphism of a variety over a number Add to Reading List Source URL: www.ma.utexas.edu Language: English - Date: 2013-05-17 21:58:45 Algebraic geometry Field theory Algebraic number theory Ring theory Number theory Algebraic number field Projective variety Distribution Witt vector tale morphism Valuation Arithmetic dynamics
126	807 Documenta Math. Several Variables p-Adic L-Functions for Hida Families of Hilbert Modular Forms Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2012-12-12 12:22:36 Field theory Modular forms Number theory Cyclotomic fields Algebraic number theory Main conjecture of Iwasawa theory Craig interpolation Algebraic number field P-adic modular form Iwasawa theory P-adic L-function Distribution
127	443 Documenta Math. Completely Faithful Selmer Groups over Kummer Extensions Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2003-12-22 16:28:38 Field theory Number theory Cyclotomic fields Class field theory Algebraic number theory Iwasawa algebra Iwasawa theory Selmer group Torsion Algebraic number field Complex multiplication Elliptic curve
128	771 Documenta Math. The Sato-Tate Conjecture for Modular Forms of Weight 3 Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2009-12-31 08:05:56 Conjectures Representation theory of Lie groups Automorphic forms Langlands program Algebraic number theory RamanujanPetersson conjecture Galois module Local Langlands conjectures Tate conjecture Representation theory Algebraic number field RankinSelberg method
129	Vol, 51, No. DUKE MATHEMATICAL JOURNAL (C) Add to Reading List Source URL: www.mast.queensu.ca Language: English - Date: 2016-03-22 11:09:03 Number theory Divisor Arithmetic functions Functions and mappings Algebraic varieties Cyclotomic polynomial Algebraic number field
130	International Mathematical Olympiad Preliminary Selection Contest 2004 — Hong Kong Outline of Solutions Answers: Add to Reading List Source URL: web.hku.hk Language: English - Date: 2013-03-15 02:40:55 Integer sequences Integer factorization algorithms Prime number Algebraic number theory Field theory Quadratic sieve Wieferich prime

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