Multiple Dirichlet Series, L-functions and Automorphic Forms

• Corporate Author: SpringerLink (Online service)
• Other Authors: Bump, Daniel (Editor), Friedberg, Solomon (Editor), Goldfeld, Dorian (Editor)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2012.
• Series: Progress in Mathematics ; 300
• Subjects: Mathematics.; Group theory.; Special functions.; Number theory.; Combinatorics.; Mathematical physics.; Quantum field theory.; String theory.; Number Theory.; Group Theory and Generalizations.; Mathematical Physics.; Special Functions.; Quantum Field Theories, String Theory.

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...

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
• The Adjoint 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).