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Progress in Mathematics

Eisenstein Series and Applications

Editors: Gan, Wee Teck, Kudla, Stephen S., Tschinkel, Yuri (Eds.)

  • Brings together contributions from diverse areas, exposing users of Eisenstein series to a variety of important applications
  • Focuses on the common structural properties of Eisenstein series as applied to several recent developments in arithmetic, including Arakelov intersection theory on Shimura varieties
  • Contributors include a plethora of highly respected researchers in the field
  • With this book’s juxtaposition of perspectives, the reader obtains deeper insights into the arithmetic of Eisenstein series
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eBook 89,99 €
price for Spain (gross)
  • ISBN 978-0-8176-4639-4
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  • Included format: PDF
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  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-0-8176-4496-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

Eisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of L-functions. They have also been exploited extensively by number theorists for many arithmetic purposes. Bringing together contributions from areas that are not usually interacting with each other, this volume introduces diverse users of Eisenstein series to a variety of important applications. With this juxtaposition of perspectives, the reader obtains deeper insights into the arithmetic of Eisenstein series.

The exposition focuses on the common structural properties of Eisenstein series occurring in many related applications that have arisen in several recent developments in arithmetic: Arakelov intersection theory on Shimura varieties, special values of L-functions and Iwasawa theory, and equidistribution of rational/integer points on homogeneous varieties. Key questions that are considered include: Is it possible to identify a class of Eisenstein series whose Fourier coefficients (resp. special values) encode significant arithmetic information? Do such series fit into p-adic families? Are the Eisenstein series that arise in counting problems of this type?

Contributors include: B. Brubaker, D. Bump, J. Franke, S. Friedberg, W.T. Gan, P. Garrett, M. Harris, D. Jiang, S.S. Kudla, E. Lapid, K. Prasanna, A. Raghuram, F. Shahidi, R. Takloo-Bighash

Table of contents (11 chapters)

  • Twisted Weyl Group Multiple Dirichlet Series: The Stable Case

    Brubaker, Ben (et al.)

    Pages 1-26

    Preview Buy Chapter 30,19 €
  • A Topological Model for Some Summand of the Eisenstein Cohomology of Congruence Subgroups

    Pranke, Jens

    Pages 27-85

    Preview Buy Chapter 30,19 €
  • The Saito-Kurokawa Space of PGSp4 and Its Transfer to Inner Forms

    Gan, Wee Teck

    Pages 87-123

    Preview Buy Chapter 30,19 €
  • Values of Archimedean Zeta Integrals for Unitary Groups

    Garrett, Paul

    Pages 125-148

    Preview Buy Chapter 30,19 €
  • A Simple Proof of Rationality of Siegel-Weil Eisenstein Series

    Harris, Michael

    Pages 149-185

    Preview Buy Chapter 30,19 €

Buy this book

eBook 89,99 €
price for Spain (gross)
  • ISBN 978-0-8176-4639-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-0-8176-4496-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Eisenstein Series and Applications
Editors
  • Wee Teck Gan
  • Stephen S. Kudla
  • Yuri Tschinkel
Series Title
Progress in Mathematics
Series Volume
258
Copyright
2008
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-4639-4
DOI
10.1007/978-0-8176-4639-4
Hardcover ISBN
978-0-8176-4496-3
Series ISSN
0743-1643
Edition Number
1
Number of Pages
X, 314
Topics