On the Factorization of p-adic Rankin L-series Samit Dasgupta University of California, Santa Cruz October 26, 2012

Source URL: people.ucsc.edu

• Dirichlet L-function
• Dirichlet character
• Conductor
• Modular form
• Number theory
• Spectral theory of ordinary differential equations
• Selberg class
• Abstract algebra
• Mathematical analysis
• Mathematics

Spectral Theory and the Trace Formula (Expanded Text) by Daniel Bump We give an account of a portion of the spectral theory ?nSL2(R), particularly the Selberg trace formula, emphasizing ideas from representation theory.

Source URL: sporadic.stanford.edu

• Operator theory
• Quantum mechanics
• Representation theory of Lie groups
• Topological groups
• Group action
• Group theory
• Hilbert space
• Modular form
• Representation theory of finite groups
• Mathematical analysis
• Abstract algebra
• Mathematics

Automorphic forms with singularities on Grassmannians. 29 September 1996, corrected 29 May[removed]Richard E. Borcherds,∗ D.P.M.M.S., 16 Mill Lane, Cambridge, CB2 1SB, England. e-mail: [removed] home page: http

Source URL: math.berkeley.edu

• Abstract algebra
• Analytic number theory
• Elliptic functions
• Q-analogs
• Theta function
• Eisenstein series
• J-invariant
• Metaplectic group
• Rankin–Selberg method
• Mathematical analysis
• Modular forms
• Mathematics

Multiple Dirichlet Series and Applications to Automorphic Forms

Source URL: icms.org.uk

• Number theory
• Automorphic forms
• Analytic number theory
• Conjectures
• Modular forms
• Rankin–Selberg method
• Hecke operator
• L-function
• Langlands program
• Mathematical analysis
• Mathematics
• Abstract algebra

The Dimension of Spaces of Automorphic Forms* R.P. Langlands 1. The trace formula of Selberg reduces the problem of calculating the dimension of a space of automorphic forms, at least when there is a compact fundamental

Source URL: www.sunsite.ubc.ca

• Abstract algebra
• Operator theory
• Representation theory of Lie groups
• Orbifold
• Holomorphic functional calculus
• Symbol
• Mathematical analysis
• Theoretical physics

846 BOOK REVIEWS

Source URL: www.ams.org

• Selberg sieve
• Large sieve
• Sieve of Eratosthenes
• Atle Selberg
• Prime number
• Viggo Brun
• Primality test
• Fundamental lemma of sieve theory
• Legendre sieve
• Mathematics
• Sieve theory
• Number theory

BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 42, Number 2, Pages 257–261

Source URL: www.ams.org

• Anosov diffeomorphism
• Ergodic theory
• Markov partition
• Selberg zeta function
• Riemann zeta function
• Riemann hypothesis
• Riemannian geometry
• Zeta function
• Geodesic
• Mathematical analysis
• Mathematics
• Dynamical systems

arXiv:1306.2385v1 [math.GR] 10 Jun[removed]LINEAR GROUPS - MALCEV’S THEOREM AND SELBERG’S

Source URL: arxiv.org

• Field theory
• Infinite group theory
• Modular forms
• Algebraic geometry
• Residually finite group
• Congruence subgroup
• Periodic group
• Torsion
• Valuation
• Abstract algebra
• Algebra
• Group theory

Small Sieves, Part I: The Brun Sieve 1. Introduction. In this set of notes we introduce some ideas of Sieve Theory by looking at one of the first, and easiest, applications of the method. This is Brun’s proof that there are not too many

Source URL: www.math.uga.edu

• Selberg sieve
• Brun sieve
• Prime number
• Twin prime
• Legendre sieve
• Parity problem
• Sieve theory
• Mathematics
• Combinatorics

ATLE SELBERG TIL MINNE Vår store matematiker Atle Selberg døde 6 august 2007 i sitt hjem i Princeton, New Jersey, USA, etter kort tids sykeleie. Med ham er en av det forrige århundres største

Source URL: www.math.ntnu.no