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Cyclotomic field
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31	Cyclic polynomials arising from Kummer theory of norm tori Add to Reading List Source URL: matha.e-one.uec.ac.jp Language: English - Date: 2011-07-06 20:43:50 Field theory Class field theory Kummer theory Cyclotomic fields Abelian extension Algebraic number field Ernst Kummer Abstract algebra Algebraic number theory Algebra
32	Recovering Short Generators of Principal Ideals in Cyclotomic Rings Ronald Cramer∗ L´eo Ducas† Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2015-04-06 06:31:39 Cyclotomic fields Conjectures Dirichlet character Gauss sum Dirichlet L-function Algebraic number field Root of unity Generalized Riemann hypothesis Riemann hypothesis Abstract algebra Mathematics Algebraic number theory
33	SOLILOQUY: A Cautionary Tale P. Campbell M. Groves D. Shepherd CESG Add to Reading List Source URL: docbox.etsi.org Language: English - Date: 2014-10-07 14:55:38 Ring of integers Prime number Algebraic number field Cyclotomic field Field Abstract algebra Algebraic number theory Algebra
34	Sage Reference Manual: Miscellaneous Modular-Form-Related Modules Release 6.6.beta0 The Sage Development Team Add to Reading List Source URL: sagemath.org Language: English - Date: 2015-02-21 07:35:20 Cyclotomic fields Gauss sum Dirichlet character Bernoulli number Johann Peter Gustav Lejeune Dirichlet Modulo operation Algebraic number field Abstract algebra Mathematics Number theory
35	Sage Reference Manual: Algebraic Number Fields Release 6.6.beta0 The Sage Development Team Add to Reading List Source URL: sagemath.org Language: English - Date: 2015-02-21 07:35:20 Field theory Algebraic number field Sage Cyclotomic field Tensor product of fields Ideal class group Exponentiation Field extension Quadratic field Abstract algebra Algebra Algebraic number theory
36	RIMS Kˆ okyˆ uroku Bessatsu B19 (2010), 301–319 Iwasawa Theory for nearly ordinary Hida Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2010-06-05 19:31:48 Field theory Galois theory Cyclotomic fields Number theory P-adic L-function Iwasawa theory Algebraic number field Euler system P-adic number Abstract algebra Algebra Algebraic number theory
37	IDEAL CLASS GROUPS OF CYCLOTOMIC NUMBER FIELDS I FRANZ LEMMERMEYER Abstract. Following Hasse’s example, various authors have been deriving divisibility properties of minus class numbers of cyclotomic fields by carefull Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:20 Class field theory Quadratic forms Field theory Conductor Class number formula Field extension Algebraic number field Tensor product of fields Signature Abstract algebra Algebra Algebraic number theory
38	Notes on computing Iwasawa polynomials by PARI/GP Yasushi Mizusawa By referring[removed]and [5], we compute Iwasawa polynomials for the cyclotomic Zp -extensions of imaginary quadratic ﬁelds. √ Preliminaries. Let p b Add to Reading List Source URL: mizusawa.web.nitech.ac.jp Language: English - Date: 2013-07-31 13:24:55 Mathematics Operator theory Ordinary differential equations Field theory Coding theory Spectral theory of ordinary differential equations Λ-ring Abstract algebra Spectral theory Algebra
39	IDEAL CLASS GROUPS OF CYCLOTOMIC NUMBER FIELDS II FRANZ LEMMERMEYER Abstract. We first study some families of maximal real subfields of cyclotomic fields with even class number, and then explore the implications of large Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:22 Hilbert class field Cubic field Tensor product of fields Galois module Kummer theory Conductor Field extension Ideal class group Quadratic field Abstract algebra Algebra Algebraic number theory
40	Automorphisms of even unimodular lattices and unramified Salem numbers Benedict H. Gross and Curtis T. McMullen 1 January, 2002 Abstract Add to Reading List Source URL: math.harvard.edu Language: English - Date: 2010-04-02 19:43:40 Polynomials Quadratic forms Linear algebra Algebraic number field Monic polynomial Field extension Cyclotomic polynomial Irreducible polynomial Inverse Galois problem Algebra Mathematics Abstract algebra

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