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E-book

Title Multiple Dirichlet series, L-functions and automorphic forms / edited by Daniel Bump, Solomon Friedberg, Dorian Goldfeld
Published Boston, Mass. : Birkhäuser ; London : Springer [distributor], 2012

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Description 1 online resource : illustrations
Series Progress in mathematics ; v. 300
Progress in mathematics (Boston, Mass.) ; v. 300.
Contents Introduction: Multiple Dirichlet Series / Daniel Bump -- A Crystal Definition for Symplectic Multiple Dirichlet Series / Jennifer Beineke, Ben Brubaker and Sharon Frechette -- Metaplectic Ice / Ben Brubaker, Daniel Bump, Gautam Chinta, Solomon Friedberg and Paul E. Gunnells -- Metaplectic Whittaker Functions and Crystals of Type B / Ben Brubaker, Daniel Bump, Gautam Chinta and Paul E. Gunnells -- Littelmann Patterns and Weyl Group Multiple Dirichlet Series of Type D / Gautam Chinta and Paul E. Gunnells -- Toroidal Automorphic Forms, Waldspurger Periods and Double Dirichlet Series / Gunther Cornelissen and Oliver Lorscheid -- Natural Boundaries and Integral Moments of L-Functions / Adrian Diaconu, Paul Garrett and Dorian Goldfeld -- A Trace Formula of Special Values of Automorphic L-Functions / Bernhard Heim -- The Adjoint L-Function of SU2, 1 / Joseph Hundley -- Symplectic Ice / Dmitriy Ivanov -- On Witten Multiple Zeta-Functions Associated with Semisimple Lie Algebras III / Yasushi Komori, Kohji Matsumoto and Hirofumi Tsumura -- A Pseudo Twin Primes Theorem / Alex V. Kontorovich -- Principal Series Representations of Metaplectic Groups Over Local Fields / Peter J. McNamara -- Excerpt from an Unwritten Letter / S.J. Patterson -- Two-Dimensional Adelic Analysis and Cuspidal Automorphic Representations of GL(2) / Masatoshi Suzuki
Summary Multiple Dirichlet Series, L-functions and Automorphic Forms gives the latest advances in the rapidly developing subject of Multiple Dirichlet Series, an area with origins in the theory of automorphic forms that exhibits surprising and deep connections to crystal graphs and mathematical physics.¡ As such, it represents a new way in which areas including number theory, combinatorics, statistical mechanics, and quantum groups are seen to fit together.¡ The volume also includes papers on automorphic forms and L-functions and related number-theoretic topics.¡ This volume will be a valuable resource for graduate students and researchers in number theory, combinatorics, representation theory, mathematical physics, and special functions. Contributors: J. Beineke, B. Brubaker, D. Bump, G. Chinta, G. Cornelissen, C.A. Diaconu, S. Frechette, S. Friedberg, P. Garrett, D. Goldfeld, P.E. Gunnells, B. Heim, J. Hundley, D. Ivanov, Y. Komori, A.V. Kontorovich, O. Lorscheid, K. Matsumoto, P.J. McNamara, S.J. Patterson, M. Suzuki, H. Tsumura
Analysis mathematische natuurkunde
mathematical physics
wiskunde
mathematics
combinatoriek
combinatorics
getallenleer
number theory
quantumfysica
quantum physics
Mathematics (General)
Wiskunde (algemeen)
Bibliography Includes bibliographical references
Notes Print version record
Subject Dirichlet series.
L-functions.
Automorphic forms.
Mathematics.
Probabilities.
Likelihood Functions
Mathematics
Probability
applied mathematics.
mathematics.
probability.
MATHEMATICS -- Infinity.
Series de Dirichlet
Probabilidades
Funciones L
Formas automórficas
Probabilities
Mathematics
Automorphic forms
Dirichlet series
L-functions
Form Electronic book
Author Bump, Daniel, 1952-
Friedberg, Solomon, 1958-
Goldfeld, D.
ISBN 9780817683344
0817683348