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Cyclotomic fields
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41	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
42	Integer Matrices with Constrained Eigenvalues Cyclotomic matrices and graphs Graeme Taylor Edinburgh Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2009-09-28 10:23:15 Matrices Polynomials Matrix theory Analytic number theory Mahler measure Eigenvalues and eigenvectors Integer matrix Symmetric matrix Algebra Mathematics Linear algebra
43	Sage Reference Manual: Miscellaneous Modular-Form-Related Modules Release 6.3 The Sage Development Team Add to Reading List Source URL: www.sagemath.org Language: English - Date: 2014-11-16 14:58:21 Cyclotomic fields Gauss sum Dirichlet character Algebraic number theory Bernoulli number Sage Algebraic number field Abstract algebra Mathematics Number theory
44	Sage Reference Manual: Algebraic Number Fields Release 6.3 The Sage Development Team Add to Reading List Source URL: www.sagemath.org Language: English - Date: 2014-11-16 14:58:20 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
45	Dinesh S. Thakur List of publications and preprints Full list: Ordered by the year of publication, followed by preprints 1. Number fields and function fields (zeta and gamma functions at all primes)– Proceedings of con Add to Reading List Source URL: math.arizona.edu Language: English - Date: 2013-08-05 15:35:28 Number theory Integer sequences Field theory Cyclotomic fields Meromorphic functions Jacobi sum Gamma function Analytic number theory Zeta function Mathematics Mathematical analysis Abstract algebra
46	Vandiver’s Conjecture via K-theory Summer School on Cyclotomic fields, Pune, June 7-30, 1999 Eknath Ghate 1 Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2008-06-16 05:32:34 Algebraic number field Algebraic number theory Abelian group Étale cohomology Algebraic K-theory Hurewicz theorem Abstract algebra Algebra Field theory
47	Curriculum Vitae ADEBISI AGBOOLA Department of Mathematics University of California Santa Barbara, CA 93106 Add to Reading List Source URL: www.math.ucsb.edu Language: English - Date: 2007-09-07 13:06:22 Field theory Class field theory Fields Medalists Nicolas Bourbaki Algebraic number theory Iwasawa theory Number theory Alexander Grothendieck Cyclotomic field Abstract algebra Algebra Mathematics
48	(July 28, [removed]Kummer, Eisenstein, computing Gauss sums as Lagrange resolvents Paul Garrett 1. Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2010-07-28 15:48:18 Reciprocity law Quadratic Gauss sum Gauss sum Symbol Kummer sum Abstract algebra Cyclotomic fields Algebraic number theory
49	ERRATA FOR INTRODUCTION TO CYCLOTOMIC FIELDS, 2ND EDITION Lawrence C. Washington page 11, line -2; the = between log n and the sum should be − Add to Reading List Source URL: www.math.umd.edu Language: English - Date: 2014-07-08 10:24:41 Dirac delta function Measure theory Symbol Number theory Mathematical analysis Fourier analysis Digital signal processing
50	APPENDIX: POTENTIAL MODULARITY OF ELLIPTIC CURVES OVER TOTALLY REAL FIELDS JEAN-PIERRE WINTENBERGER The following theorem is well known to experts. Theorem 0.1. Let E an elliptic curve over a totally real number field F Add to Reading List Source URL: www-irma.u-strasbg.fr Language: English - Date: 2008-11-21 08:07:51 Galois theory Field theory Group theory Analytic number theory Galois module Algebraic number field Elliptic curve Cyclotomic character Splitting of prime ideals in Galois extensions Abstract algebra Algebra Algebraic number theory