APPEARED IN BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY Volume 31, Number 1, July 1994, Pages 1-14 SELBERG’S CONJECTURES AND ARTIN L-FUNCTIONS

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• Algebra
• Abstract algebra
• Mathematics
• Conjectures
• Automorphic forms
• Class field theory
• Representation theory of Lie groups
• Algebraic number theory
• Artin L-function
• Selberg class
• Langlands program
• RamanujanPetersson conjecture

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS Volume 15, Number 2, Spring 1985 ON THE ESTIMATION OF EIGENVALUES OF HECKE OPERATORS

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• Mathematical analysis
• Mathematics
• Modular forms
• Conjectures
• Analytic number theory
• Srinivasa Ramanujan
• RamanujanPetersson conjecture
• Mathematical series
• Hecke operator
• Dirichlet series
• Selberg class
• Fourier transform

Research Statement Brandon Fodden The central focus of my research is the study of L-functions. A combination of powerful results and fundamental open questions makes this an exciting area in which to do research. The st

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• Bernhard Riemann
• Analytic number theory
• Conjectures
• Field theory
• Algebraic geometry
• Generalized Riemann hypothesis
• Riemann zeta function
• Riemann hypothesis
• Prime number theorem
• Elliptic curve
• Diophantine equation
• Selberg class

GENERALIZED KREIN FORMULA, DETERMINANTS AND SELBERG ZETA FUNCTION IN EVEN DIMENSION COLIN GUILLARMOU Abstract. For a class of even dimensional asymptotically hyperbolic (AH) manifolds, we develop a generalized Birman-Kre

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Uniform Distribution of Zeros of Dirichlet Series Amir Akbary and M. Ram Murty∗ Abstract We consider a class of Dirichlet series which is more general than the Selberg class. Dirichlet series in this class, have meromo

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On the Definition of Transfer Factors* R.P. Langlands and D. Shelstad To Friedrich Hirzebruch on his sixtieth birthday CONTENTS

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• Group actions
• Representation theory of Lie groups
• Conjugacy class
• Representation theory
• Weight
• Arthur–Selberg trace formula
• Orbifold
• Abstract algebra
• Algebra
• Group theory

Zeta Functions and Associated RH Hypotheses Report on the conference in New York, 29 May — 1 JuneWhat does the extra H stand for?) M. N. Huxley 1. 2.

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• Analytic number theory
• Conjectures
• Hypotheses
• Riemann hypothesis
• Zeta function
• Selberg zeta function
• L-function
• Selberg class
• Dirichlet series
• Mathematical analysis
• Mathematics
• Number theory

Functional equation in the fundamental class of functions and the type of explicit formula Muharem Avdispahi´c and Lejla Smajlovi´c Department of mathematics, University of Sarajevo Zmaja od Bosne 35, 71000 Sarajevo, B

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• Conjectures
• Hypotheses
• Riemann hypothesis
• Explicit formula
• Riemann zeta function
• Selberg trace formula
• Selberg class
• Function
• Spectral theory of ordinary differential equations
• Mathematical analysis
• Mathematics
• Analytic number theory

ON LOCAL CHARACTER RELATIONS James Arthur* Contents Introduction 1.

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• Mathematics
• Arthur–Selberg trace formula
• Group theory
• Fundamental lemma
• Representation theory
• Fourier series
• Conjugacy class
• Abstract algebra
• Algebra
• Automorphic forms

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(

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• 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