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Cyclotomic fields
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#	Item
11	443 Documenta Math. Completely Faithful Selmer Groups over Kummer Extensions Add to Reading List Source URL: www.math.uiuc.edu 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
12	Some remarks on the pseudo-nullity conjecture for zero Selmer groups of elliptic curves Yoshihiro Ochi (Tokyo Denki University) 1 Add to Reading List Source URL: staff.miyakyo-u.ac.jp Language: English - Date: 2008-10-20 03:03:04 Number theory Algebraic number theory Cyclotomic fields Class field theory Field theory Elliptic curve Main conjecture of Iwasawa theory Complex multiplication TateShafarevich group P-adic Hodge theory Iwasawa theory Selmer group
13	Documenta Mathematica Extra Volume: John H. Coates’ Sixtieth Birthday, 2006 Preface 1 Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2006-11-24 17:49:13 Number theorists Cyclotomic fields Field theory Galois theory Number theory Galois module Ralph Greenberg P-adic L-function Iwasawa theory Haruzo Hida P-adic number John H. Coates
14	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
15	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
16	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
17	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
18	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
19	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
20	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

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