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161	ON LOCAL GALOIS REPRESENTATIONS ASSOCIATED TO ORDINARY HILBERT MODULAR FORMS BASKAR BALASUBRAMANYAM, EKNATH GHATE, AND VINAYAK VATSAL Abstract. Let F be a totally real field and p be an odd prime which splits completely Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2013-03-21 00:47:34 Field theory Galois theory Class field theory Analytic number theory Artin reciprocity law Algebraic number field Galois module Modular form P-adic number Abstract algebra Algebra Algebraic number theory
162	LIST OF PUBLICATIONS OF EKNATH GHATE 1. Critical values of the twisted tensor L-function in the imaginary quadratic case. • Duke Math. J. 96, no[removed]), 595–[removed]Critical values of the twisted tensor L-functio Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2014-09-23 08:51:50 Automorphic forms Number theory Conjectures Analytic number theory Shimura variety Galois module Iwasawa theory Complex multiplication Langlands program Abstract algebra Mathematics Class field theory
163	ON THE 4-RANK OF CLASS GROUPS OF QUADRATIC NUMBER FIELDS DJORDJO MILOVIC ´ ´ PARIS-SUD 11 ADVISOR: ETIENNE Add to Reading List Source URL: www.algant.eu Language: English - Date: 2013-07-05 07:44:32 Algebraic number theory Modular arithmetic Quadratic residue Finite fields Quadratic reciprocity Quadratic field Prime number XTR Quadratic form Abstract algebra Mathematics Number theory
164	University of Bordeaux 1 algant master thesis Galois Representations Attached to Elliptic Curves Add to Reading List Source URL: www.algant.eu Language: English - Date: 2012-07-12 18:58:52 Elliptic curves Elliptic functions Class field theory Supersingular elliptic curve Galois module Algebraic number field Splitting of prime ideals in Galois extensions Complex multiplication J-invariant Abstract algebra Algebraic number theory Galois theory
165	ON THE AVERAGE NUMBER OF OCTAHEDRAL NEWFORMS OF PRIME LEVEL MANJUL BHARGAVA AND EKNATH GHATE Abstract. We show that, on average, the number of octahedral newforms of prime level is bounded by a constant. Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2014-07-07 01:59:29 Artin L-function Class field theory Algebraic number theory Algebraic number field Group Representation theory of finite groups Abstract algebra Algebra Mathematics
166	CURRICULUM VITAE Jan Nekov´ aˇ Add to Reading List Source URL: www.math.jussieu.fr Language: English - Date: 2013-09-03 09:39:33 Algebraic number theory Number theorists Class field theory Field theory Iwasawa theory Galois module Number theory Selmer group Abstract algebra Mathematics Algebra
167	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
168	Journal of Number Theory 80, 2543[removed]Article ID jnth[removed], available online at http:www.idealibrary.com on Tate Cycles on a Product of Two Hilbert Modular Surfaces V. Kumar Murty 1 Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2006-11-07 21:06:58 Representation theory of Lie groups Automorphic forms Representation theory Cuspidal representation Conjectures Number theory Modular form Algebraic number field Weil group Abstract algebra Algebra Class field theory
169	NATURAL BOUNDARIES AND A CORRECT NOTION OF INTEGRAL MOMENTS OF L–FUNCTIONS Adrian Diaconu, Paul Garrett and Dorian Goldfeld Abstract. It is shown that a large class of multiple Dirichlet series which arise naturally in Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2009-09-23 15:32:05 Analytic number theory Special functions Gamma function Residue Riemann zeta function Algebraic number field Spectral theory Symbol Polylogarithm Mathematical analysis Mathematics Meromorphic functions
170	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