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class field theory
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171	(March 1, [removed]Artin L-functions Paul Garrett [removed] http://www.math.umn.edu/˜garrett/ Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2005-03-01 09:49:10 Galois theory Class field theory Field theory Number theory Artin L-function Artin reciprocity law Frobenius endomorphism Splitting of prime ideals in Galois extensions Algebraic number field Abstract algebra Algebra Algebraic number theory
172	On p-adic Artin L-functions II Ralph Greenberg 1 Introduction Add to Reading List Source URL: www.math.washington.edu Language: English - Date: 2013-05-08 21:19:57 Class field theory Galois theory Algebraic number field Field theory Artin L-function Galois module Spectral theory Spectral theory of ordinary differential equations Symbol Abstract algebra Algebra Algebraic number theory
173	Contributions to Algebraic Number Theory from India Dipendra Prasad October 19, 2004 There was a conference organised at the Institite of Mathematical Sciences, Madras in 1997 on the occasion of the 50th anniversary of I Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2004-10-19 06:36:06 Algebraic number theory Analytic number theory Elliptic curve Quadratic form Algebraic number field Transcendental number Algebraic integer Ideal class group Prime number Abstract algebra Mathematics Algebra
174	ON THE GLOBAL ROOT NUMBERS OF GL(n) × GL(m) DIPENDRA PRASAD AND DINAKAR RAMAKRISHNAN To Professor G. Shimura 1. Introduction Let F be a number field, n, m ≥ 1, and π = ⊗0v πv , π 0 = ⊗0v πv0 cuspidal, unitary Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2006-11-13 17:25:25 Automorphic forms Class field theory Representation theory of Lie groups Conjectures Langlands program Local Langlands conjectures Cuspidal representation Weil group Artin L-function Abstract algebra Algebra Mathematics
175	(January 19, [removed]Fujisaki’s lemma, units theorem, class number Paul Garrett [removed] http://www.math.umn.edu/˜garrett/ Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2010-01-19 17:58:51 Algebraic number theory Takagi existence theorem class field theory Compact space Adelic algebraic group Ideal Coset Algebraic number field Abstract algebra Topology Mathematics
176	SOME REMARKS ON REPRESENTATIONS OF QUATERNION DIVISION ALGEBRAS DIPENDRA PRASAD Abstract. For the quaternion division algebra D over a non-Archimedean local field k, and π an irreducible finite dimensional representatio Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2010-12-06 04:44:27 Representation theory of Lie groups Class field theory Representation theory Character theory Symbol Harmonic analysis Cuspidal representation Conductor Admissible representation Abstract algebra Group theory Algebra
177	C. Khare and D. Prasad Nagoya Math. J. Vol[removed]), 1–15 ON THE STEINITZ MODULE AND CAPITULATION OF IDEALS Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2006-11-07 20:45:17 Hilbert class field Algebraic number field Ideal class group Dedekind domain Class field theory Principal ideal Vector bundle Projective module Ideal Abstract algebra Algebra Algebraic number theory
178	Symplectic root numbers of two-dimensional Galois representations: an interpretation Dipendra Prasad and Dinakar Ramakrishnan Let F be R or a non-archimedean local field of odd residual characteristic, F Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2006-11-13 17:18:23 Representation theory of Lie groups Automorphic forms Class field theory Conjectures Langlands program Local Langlands conjectures Orthogonal group Representation theory Gelfand pair Abstract algebra Algebra Mathematics
179	SERRE’S MODULARITY CONJECTURE (I) CHANDRASHEKHAR KHARE AND JEAN-PIERRE WINTENBERGER to Jean-Pierre Serre Abstract. This paper is the first part of a work which proves Serre’s modularity conjecture. We first prove the Add to Reading List Source URL: www-irma.u-strasbg.fr Language: English - Date: 2008-10-20 11:47:03 Field theory Galois theory Representation theory Class field theory Galois module Algebraic number field Finite field Group representation Prime number Abstract algebra Algebra Algebraic number theory
180	RAMIFICATION IN IWASAWA MODULES CHANDRASHEKHAR KHARE AND JEAN-PIERRE WINTENBERGER Abstract. We make a reciprocity conjecture that extends Iwasawa’s analogy of direct limits of class groups along the cyclotomic tower of Add to Reading List Source URL: www-irma.u-strasbg.fr Language: English - Date: 2010-11-24 09:46:58 Algebraic number field Iwasawa theory Finite field Torsion Galois group Field Valuation Elliptic curve Inverse Galois problem Abstract algebra Algebra Field theory

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