Multiple Dirichlet series, Lfunctions and automorphic forms
 Language
 English.
 Imprint
 New York : Birkhäuser, 2012.
 Physical description
 viii, 361 p. : ill ; 24 cm.
 Series
 Progress in mathematics ; v. 300.
Access
Contributors
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 Preface. Introduction: Multiple Dirichlet Series. A Crystal Description for Symplectic Multiple Dirichlet Series. Metaplectic Whittaker Functions and Crystals of Type B. Metaplectic Ice. Littelmann patterns and Weyl Group Multiple Dirichlet Series of Type D. Toroidal Automorphic Forms, Waldspurger Periods and Double Dirichlet Series. Natural Boundaries and Integral Moments of Lfunctions. A Trace Formula of Special Values of Automorphic Lfunctions. The Adjoint Lfunction of SU(2,1). Symplectic Ice. On Witten Multiple ZetaFunctions Associated with Semisimple Lie Algebras III. A Pseudo TwinPrime Theorem. Principal Series Representations of Metaplectic Groups over Local Fields. TwoDimensional Adelic Analysis and Cuspidal Automorphic Representations of GL(2).
 (source: Nielsen Book Data)
 Publisher's Summary
 Multiple Dirichlet Series, Lfunctions 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 Lfunctions and related numbertheoretic 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.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2012
 Responsibility
 Daniel Bump, Solomon Friedberg, Dorian Goldfeld, editors.
 Series
 Progress in mathematics ; v. 300
 ISBN
 9780817683337
 081768333X
 9780817683344 (ebook)
 0817683348 (ebook)