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Algebraic character
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21	LOCALLY INDECOMPOSABLE GALOIS REPRESENTATIONS EKNATH GHATE AND VINAYAK VATSAL Abstract. In [GV04] the authors showed that, under some technical conditions, the local Galois representations attached to the members of a no Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2013-03-26 03:00:56 Group theory Representation theory Algebraic number field Cyclotomic character Group representation Representation theory of finite groups Abstract algebra Algebra Algebraic number theory
22	Λ-ADIC FORMS AND THE IWASAWA MAIN CONJECTURE DEBARGHA BANERJEE, V.G. NARASIMHA KUMAR CH, AND EKNATH GHATE Advanced Instructional School on Arithmetic Geometry September 22-30, 2008, IIT Guwahati1 Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2010-05-19 05:36:26 Algebraic number theory Field theory Galois theory P-adic L-function P-adic number Cyclotomic character Symbol Iwasawa theory Dirichlet character Abstract algebra Mathematics Algebra
23	Journal de Th´eorie des Nombres de Bordeaux 00 (XXXX), 000–000 On classical weight one forms in Hida families par Mladen DIMITROV et Eknath GHATE ´sume Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2012-10-08 03:12:21 Field theory Galois theory Galois module Algebraic number field P-adic number Hecke operator Cyclotomic character Prime number Simple group Abstract algebra Algebra Algebraic number theory
24	A Report on Artin’s holomorphy conjecture Dipendra Prasad C S Yogananda February 23, 2007 Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2007-02-23 14:06:51 Class field theory Algebraic number theory Number theory Representation theory of Lie groups Representation theory Artin L-function Artin reciprocity law Galois module Character theory Abstract algebra Algebra Mathematics
25	SUBCONVEXITY BOUNDS FOR AUTOMORPHIC L–FUNCTIONS A. Diaconu and P. Garrett Abstract. We break the convexity bound in the t–aspect for L–functions attached to cuspforms f for GL2 (k) over arbitrary number fields k. Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2009-07-09 11:55:50 Analytic number theory Modular form Moduli theory Dirichlet character Hecke character Algebraic number field Symbol Spectral theory of ordinary differential equations Abstract algebra Mathematics Mathematical analysis
26	SMR[removed]Summer School and Conference on Automorphic Forms and Shimura Varieties[removed]July 2007 Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2009-06-14 04:53:26 Harmonic analysis Functional equation Algebraic number field Pontryagin duality Dirichlet character Dirichlet L-function Abstract algebra Mathematical analysis Mathematics
27	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
28	JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Volume 14, Number 4, Pages 843–939 S[removed][removed]Article electronically published on May 15, 2001 Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2002-05-08 14:25:18 Modular forms Galois theory Algebraic number theory Character theory J-invariant Frobenius endomorphism Elliptic curve Representation theory of finite groups Orbifold Abstract algebra Mathematical analysis Analytic number theory
29	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
30	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