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  • Book
  • © 2012

Multiple Dirichlet Series, L-functions and Automorphic Forms

Birkhäuser
  • 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
  2. A Crystal Definition for Symplectic Multiple Dirichlet Series

    • Jennifer Beineke, Ben Brubaker, Sharon Frechette
    Pages 37-63
  3. Metaplectic Ice

    • Ben Brubaker, Daniel Bump, Gautam Chinta, Solomon Friedberg, Paul E. Gunnells
    Pages 65-92
  4. Metaplectic Whittaker Functions and Crystals of Type B

    • Ben Brubaker, Daniel Bump, Gautam Chinta, Paul E. Gunnells
    Pages 93-118
  5. Toroidal Automorphic Forms, Waldspurger Periods and Double Dirichlet Series

    • Gunther Cornelissen, Oliver Lorscheid
    Pages 131-146
  6. Natural Boundaries and Integral Moments of L-Functions

    • Adrian Diaconu, Paul Garrett, Dorian Goldfeld
    Pages 147-172
  7. The Adjoint L-Function of SU 2, 1

    • Joseph Hundley
    Pages 193-204
  8. Symplectic Ice

    • Dmitriy Ivanov
    Pages 205-222
  9. On Witten Multiple Zeta-Functions Associated with Semisimple Lie Algebras III

    • Yasushi Komori, Kohji Matsumoto, Hirofumi Tsumura
    Pages 223-286
  10. A Pseudo Twin Primes Theorem

    • Alex V. Kontorovich
    Pages 287-298
  11. Excerpt from an Unwritten Letter

    • S. J. Patterson
    Pages 329-338

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

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access