Multiple Dirichlet Series, L-functions and Automorphic Forms

  • Daniel Bump
  • Solomon Friedberg
  • Dorian Goldfeld

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

Table of contents

  1. Front Matter
    Pages i-viii
  2. Jennifer Beineke, Ben Brubaker, Sharon Frechette
    Pages 37-63
  3. Ben Brubaker, Daniel Bump, Gautam Chinta, Solomon Friedberg, Paul E. Gunnells
    Pages 65-92
  4. Ben Brubaker, Daniel Bump, Gautam Chinta, Paul E. Gunnells
    Pages 93-118
  5. Gautam Chinta, Paul E. Gunnells
    Pages 119-130
  6. Gunther Cornelissen, Oliver Lorscheid
    Pages 131-146
  7. Adrian Diaconu, Paul Garrett, Dorian Goldfeld
    Pages 147-172
  8. Joseph Hundley
    Pages 193-204
  9. Dmitriy Ivanov
    Pages 205-222
  10. Yasushi Komori, Kohji Matsumoto, Hirofumi Tsumura
    Pages 223-286
  11. Alex V. Kontorovich
    Pages 287-298
  12. S. J. Patterson
    Pages 329-338

About this book

Introduction

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.

Keywords

L-functions Multiple Dirichlet Series automorphic forms metaplectic ice and groups special functions

Editors and affiliations

  • Daniel Bump
    • 1
  • Solomon Friedberg
    • 2
  • Dorian Goldfeld
    • 3
  1. 1.Department of MathematicsStanford UniversityStanfordUSA
  2. 2., Department of MathematicsBoston CollegeChestnut HillUSA
  3. 3., Department of MathematicsColumbia UniversityNew YorkUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-8176-8334-4
  • Copyright Information Springer Science+Business Media, LLC 2012
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-8176-8333-7
  • Online ISBN 978-0-8176-8334-4
  • Series Print ISSN 0743-1643
  • Series Online ISSN 2296-505X
  • About this book