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Progress in Mathematics

Multiple Dirichlet Series, L-functions and Automorphic Forms

Editors: Bump, Daniel, Friedberg, Solomon, Goldfeld, Dorian (Eds.)

  • ​​​​​​​​​​​​​​​​​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​
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eBook $109.00
price for USA (gross)
  • ISBN 978-0-8176-8334-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-0-8176-8333-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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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.

Table of contents (15 chapters)

  • Introduction: Multiple Dirichlet Series

    Bump, Daniel

    Pages 1-36

  • A Crystal Definition for Symplectic Multiple Dirichlet Series

    Beineke, Jennifer (et al.)

    Pages 37-63

  • Metaplectic Ice

    Brubaker, Ben (et al.)

    Pages 65-92

  • Metaplectic Whittaker Functions and Crystals of Type B

    Brubaker, Ben (et al.)

    Pages 93-118

  • Littelmann Patterns and Weyl Group Multiple Dirichlet Series of Type D

    Chinta, Gautam (et al.)

    Pages 119-130

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-0-8176-8334-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-0-8176-8333-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Multiple Dirichlet Series, L-functions and Automorphic Forms
Editors
  • Daniel Bump
  • Solomon Friedberg
  • Dorian Goldfeld
Series Title
Progress in Mathematics
Series Volume
300
Copyright
2012
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-0-8176-8334-4
DOI
10.1007/978-0-8176-8334-4
Hardcover ISBN
978-0-8176-8333-7
Series ISSN
0743-1643
Edition Number
1
Number of Pages
VIII, 361
Number of Illustrations and Tables
78 b/w illustrations
Topics