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Automorphic number
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41	JOURNAL O F THE AMERICAN MATHEMATICAL SOCIETY Volume I . Number 3. July 1988 THE INVARIANT TRACE FORMULA. 11. GLOBAL THEORY Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2013-12-01 07:09:04 Automorphic forms Functional analysis Arthur–Selberg trace formula Algebraic number field Representation theory of Lie groups Distribution Trace Induced representation Plancherel theorem for spherical functions Abstract algebra Algebra Mathematical analysis
42	D o c . MATH.J. DMV ABSTRACT. The paper is a report on the problem of stabilizing the trace formula. The goal is the construction and analysis of a stable trace formula that can be used to compare automorphic representa Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2013-12-01 07:09:09 Automorphic forms Langlands program Functional analysis Arthur–Selberg trace formula Fundamental lemma Harmonic analysis Endoscopic group Algebraic number field Distribution Abstract algebra Mathematical analysis Mathematics
43	JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Volume 1 , Number 2, APRIL 1988 THE INVARIANT TRACE FORMULA. I. LOCAL THEORY Add to Reading List Source URL: www2.maths.ox.ac.uk Language: English - Date: 2013-12-01 07:09:04 Automorphic forms Fourier analysis Functions and mappings Functional analysis Generalized functions Arthur–Selberg trace formula Algebraic number field Distribution Fourier transform Mathematical analysis Abstract algebra Mathematics
44	MAT H EMATICS Proof of passion Marcus du Sautoy is enthralled by a personal journey into mathematics centring on the Langlands program. Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 2013-10-03 00:53:51 Edward Frenkel Number theorists Automorphic forms Number theory Robert Langlands Langlands program Modular arithmetic Equation Abstract algebra Mathematics Algebra
45	S´eminaire BOURBAKI 61`eme ann´ee, [removed], no 1010 Juin[removed]GAUGE THEORY AND LANGLANDS DUALITY Add to Reading List Source URL: math.berkeley.edu Language: English - Date: 2011-11-25 17:24:58 Automorphic forms Class field theory Representation theory of Lie groups Algebraic number theory Conjectures Langlands program Langlands dual Weil group Representation theory Abstract algebra Mathematics Algebra
46	ON THE EXCEPTIONAL ZEROS OF RANKIN-SELBERG L-FUNCTIONS DINAKAR RAMAKRISHNAN AND SONG WANG Introduction In this paper we study the possibility of real zeros near s = 1 for the RankinSelberg L-functions L(s, f × g) and L( Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2001-08-07 16:25:14 Automorphic forms Conjectures Langlands program Representation theory of Lie groups Number theory Automorphic L-function Local Langlands conjectures Rankin–Selberg method Selberg class Abstract algebra Mathematics Mathematical analysis
47	A CUSPIDALITY CRITERION FOR THE FUNCTORIAL PRODUCT ON GL(2) × GL(3), WITH A COHOMOLOGICAL APPLICATION DINAKAR RAMAKRISHNAN AND SONG WANG 1. Introduction Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2003-10-13 16:11:09 Automorphic forms Representation theory of Lie groups Langlands program Conjectures Number theory Local Langlands conjectures Orthogonal group Orbifold Fourier series Abstract algebra Mathematics Algebra
48	Existence of Ramanujan primes for GL(3) Dinakar Ramakrishnan[removed]Caltech, Pasadena, CA[removed]To Joe Shalika with admiration Introduction Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2002-09-26 20:29:52 Automorphic forms Conjectures Representation theory of Lie groups Langlands program Number theory Local Langlands conjectures Automorphic L-function Ramanujan–Petersson conjecture Rankin–Selberg method Abstract algebra Mathematics Algebra
49	Irreducibility and cuspidality Dinakar Ramakrishnan∗ Introduction Irreducible representations are the building blocks of general, semisimple Galois representations ρ, and cuspidal representations are the building bloc Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2006-09-12 17:41:35 Representation theory Automorphic forms Number theory Class field theory Cuspidal representation Admissible representation Tate twist Frobenius endomorphism Group representation Abstract algebra Algebra Representation theory of Lie groups
50	On the cuspidality criterion for the Asai transfer to GL(4) Dipendra Prasad and Dinakar Ramakrishnan∗ Introduction Let F be a number ﬁeld and K a quadratic algebra over F , i.e., either F × F or a quadratic ﬁeld e Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2011-09-06 15:30:47 Induced representation Cuspidal representation Automorphic forms Langlands program Conjectures Gelfand pair Symbol Abstract algebra Representation theory of Lie groups Group theory