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Cyclotomic character
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11	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
12	Recollection Sheet • χ is a character on OK , the ring of integers of a quadratic imaginary field K of discriminant −D. •f = amq m is a weight 2 newform of level N , a rational Add to Reading List Source URL: eric.errthum.com Language: English - Date: 2006-08-24 07:29:46 Number theory Hecke character Symbol Weight Explicit formula Cyclotomic fields Dirichlet character Dirichlet L-function Abstract algebra Mathematics Algebra
13	Zentralblatt MATH Database 1931 – 2011 c 2011 European Mathematical Society, FIZ Karlsruhe & Springer-Verlag Zbl[removed]Berndt, Bruce C.; Evans, Ronald J.; Williams, Kenneth S. Add to Reading List Source URL: www.math.ucsd.edu Language: English - Date: 2011-05-17 04:39:42 Cyclotomic fields Algebraic number theory Analytic number theory Modular arithmetic Gauss sum Quadratic residue Jacobi sum Character sum Quadratic reciprocity Abstract algebra Mathematics Number theory
14	Internationale Mathematische Nachrichten International Mathematical News Nouvelles Math´ematiques Internationales Die IMN wurden 1947 von R. Inzinger als Nachrichten der Mathematischen ” Add to Reading List Source URL: www.oemg.ac.at Language: English - Date: 2012-10-25 11:06:10 Character theory Symbol Abstract algebra Cyclotomic fields Gauss sum
15	p-ADIC L-FUNCTIONS AND EULER SYSTEMS: A TALE IN TWO TRILOGIES MASSIMO BERTOLINI, FRANCESC CASTELLA, HENRI DARMON SAMIT DASGUPTA, KARTIK PRASANNA, VICTOR ROTGER Abstract. This article surveys six different special value f Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2014-06-19 17:27:36 Number theory Algebraic number theory Dirichlet character Cyclotomic fields Dirichlet L-function P-adic L-function Cyclotomic character Symbol Modular form Abstract algebra Mathematics Mathematical analysis
16	Trivial zeroes of p-adic L-functions Samit Dasgupta University of California, Santa Cruz October 22, 2012 Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2012-10-23 04:51:43 Number theory Cyclotomic fields Quadratic forms Dirichlet L-function Dirichlet character P-adic L-function Gauss sum Class number formula Bernoulli number Abstract algebra Mathematics Mathematical analysis
17	Annals of Mathematics[removed]), 439–484 doi: [removed]annals[removed]Hilbert modular forms and the Gross-Stark conjecture By Samit Dasgupta, Henri Darmon, and Robert Pollack Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2012-08-28 16:41:55 Dirichlet character Modular form Cyclotomic character P-adic L-function Gauss sum Weight Spectral theory of ordinary differential equations Symbol Abstract algebra Mathematical analysis Mathematics
18	EQUIVARIANT L-FUNCTIONS AT s = 0 AND s = 1 by David Solomon Abstract. — For an abelian extensions of number fields, we review some basic theory and formulate the Stark Conjecture in terms of the ‘equivariant’ L-fun Add to Reading List Source URL: pmb.univ-fcomte.fr Language: English - Date: 2011-02-07 10:36:19 Class field theory Field theory Conjectures Cyclotomic fields Dirichlet character Dirichlet L-function Gauss sum Conductor Dedekind zeta function Abstract algebra Mathematics Algebraic number theory
19	Fixed points for discrete logarithms Mariana Levin1 , Carl Pomerance2, and and K. Soundararajan3 1 Graduate Group in Science and Mathematics Education University of California Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2010-05-08 07:16:46 Algebra Algebraic number theory Modular arithmetic Cyclotomic character Clifford algebra Abstract algebra Dirichlet character Number theory
20	EXHAUSTIVE DETERMINATION OF (511, 255, 127)-CYCLIC DIFFERENCE SETS ROLAND B. DREIER AND KENNETH W. SMITH 1. Introduction In this paper we describe an exhaustive search for all cyclic difference sets with parameters (v, k Add to Reading List Source URL: digitalvampire.org Language: English - Date: 2005-09-06 14:11:01 Cyclotomic field Mathematics Character sets Maths24 Group theory Coset Group