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Cyclotomic field
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11	187 Documenta Math. Links Between Cyclotomic and GL2 Iwasawa Theory Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2003-12-22 16:28:30 Number theory Group theory Iwasawa algebra Algebraic number field Selmer group Elliptic curve Torsion Main conjecture of Iwasawa theory Weight
12	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
13	Multiplicative Order of Gauss Periods Omran Ahmadi Department of Electrical and Computer Engineering University of Toronto Toronto, Ontario, M5S 3G4, Canada Add to Reading List Source URL: www.ma.utexas.edu Language: English - Date: 2007-07-11 21:30:10 Number theory Algebra Polynomials Cyclotomic polynomial Finite field Partition Weil conjectures Factorization of polynomials over finite fields
14	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
15	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
16	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
17	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
18	387 Documenta Math. Coleman Power Series for K2 and p-Adic Zeta Functions Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2003-12-23 07:52:17 Field theory Number theory Algebraic number theory Cyclotomic fields P-adic number P-adic modular form Cyclotomic character Valuation P-adic L-function ZP Prime number Iwasawa theory
19	The Tonelli-Shanks algorithm Ren´e Schoof, Roma 20 dicembre 2008 let p > 2 be prime. We describe an algorithm (due to A. Tonelli (Atti Accad. Linceiand D. Shanks (1970ies)) to compute a square root of a given sq Add to Reading List Source URL: www.mat.uniroma2.it Language: English - Date: 2009-01-31 17:59:10 Algebraic number theory Modular arithmetic TonelliShanks algorithm Field theory Cyclotomic unit Trigonometry in Galois fields
20	Fast Computation of Gauss Sums and Resolution of the Root of Unity Ambiguity Dang Khoa Nguyen Division of Mathematical Sciences School of Physical & Mathematical Sciences Nanyang Technological University Add to Reading List Source URL: www.ntu.edu.sg Language: English - Date: 2009-04-15 05:17:01 Polynomials Cyclotomic fields Field theory Algebraic numbers Algebraic number theory Gaussian period Quadratic Gauss sum Cyclotomic polynomial Root of unity Polynomial ring Algebraic integer Algebraic number field

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