Daniel Bump

Multiple Dirichlet Series, L-functions and Automorphic Forms - Progress in Mathematics Daniel Bump 2012 edition

Marc Notes: Includes bibliographical references.; 8; This text reviews and analyses the latest advances in the rapidly developing subject of multiple Dirichlet series. The coverage includes papers on automorphic forms and L-functions as well as related number-theoretic topics.. Table of 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 L-functions.- A Trace Formula of Special Values of Automorphic L-functions.- TheAdjoint L-function of SU(2,1).- Symplectic Ice.- On Witten Multiple Zeta-Functions Associated with Semisimple Lie Algebras III.- A Pseudo Twin-Prime Theorem.- Principal Series Representations of Metaplectic Groups over Local Fields.- Two-Dimensional Adelic Analysis and Cuspidal Automorphic Representations of GL(2). "Jacket Description/Back: 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. "Publisher Marketing: This text reviews and analyses the latest advances in the rapidly developing subject of multiple Dirichlet series. The coverage includes papers on automorphic forms and L-functions as well as related number-theoretic topics.

Contributor Bio:  Goldfeld, Dorian Dorian Goldfeld is a Professor in the Department of Mathematics at Columbia University, New York.