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Birkhäuser

Multiple Dirichlet Series, L-functions and Automorphic Forms

  • Book
  • © 2012

Overview

Editors:
  1. Daniel Bump

    1. Department of Mathematics, Stanford University, Stanford, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Solomon Friedberg

    1. , Department of Mathematics, Boston College, Chestnut Hill, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. Dorian Goldfeld

    1. , Department of Mathematics, Columbia University, New York, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Provides a comprehensive overview of an emerging area at the boundary among many fields of mathematics??
  • Includes high-quality papers from a conference on Multiple Dirichlet Series? with contributions by international experts in their respective fields?

Part of the book series: Progress in Mathematics (PM, volume 300)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Introduction: Multiple Dirichlet Series

    • Daniel Bump
    Pages 1-36

  3. A Crystal Definition for Symplectic Multiple Dirichlet Series

    • Jennifer Beineke, Ben Brubaker, Sharon Frechette
    Pages 37-63

  4. Metaplectic Ice

    • Ben Brubaker, Daniel Bump, Gautam Chinta, Solomon Friedberg, Paul E. Gunnells
    Pages 65-92

  5. Metaplectic Whittaker Functions and Crystals of Type B

    • Ben Brubaker, Daniel Bump, Gautam Chinta, Paul E. Gunnells
    Pages 93-118

  6. Littelmann Patterns and Weyl Group Multiple Dirichlet Series of Type D

    • Gautam Chinta, Paul E. Gunnells
    Pages 119-130

  7. Toroidal Automorphic Forms, Waldspurger Periods and Double Dirichlet Series

    • Gunther Cornelissen, Oliver Lorscheid
    Pages 131-146

  8. Natural Boundaries and Integral Moments of L-Functions

    • Adrian Diaconu, Paul Garrett, Dorian Goldfeld
    Pages 147-172

  9. A Trace Formula of Special Values of Automorphic L-Functions

    • Bernhard Heim
    Pages 173-191

  10. The Adjoint L-Function of SU 2, 1

    • Joseph Hundley
    Pages 193-204

  11. Symplectic Ice

    • Dmitriy Ivanov
    Pages 205-222

  12. On Witten Multiple Zeta-Functions Associated with Semisimple Lie Algebras III

    • Yasushi Komori, Kohji Matsumoto, Hirofumi Tsumura
    Pages 223-286

  13. A Pseudo Twin Primes Theorem

    • Alex V. Kontorovich
    Pages 287-298

  14. Principal Series Representations of Metaplectic Groups Over Local Fields

    • Peter J. McNamara
    Pages 299-327

  15. Excerpt from an Unwritten Letter

    • S. J. Patterson
    Pages 329-338

  16. Two-Dimensional Adelic Analysis and Cuspidal Automorphic Representations of GL(2)

    • Masatoshi Suzuki
    Pages 339-361
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Keywords

About this book

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.

Editors and Affiliations

  • Department of Mathematics, Stanford University, Stanford, USA

    Daniel Bump

  • , Department of Mathematics, Boston College, Chestnut Hill, USA

    Solomon Friedberg

  • , Department of Mathematics, Columbia University, New York, USA

    Dorian Goldfeld

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