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© 1998

Cubic Metaplectic Forms and Theta Functions

  • Authors
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 1677)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Nikolai Proskurin
    Pages 1-62
  3. Nikolai Proskurin
    Pages 63-125
  4. Nikolai Proskurin
    Pages 126-187
  5. Back Matter
    Pages 188-196

About this book

Introduction

The book is an introduction to the theory of cubic metaplectic forms on the 3-dimensional hyperbolic space and the author's research on cubic metaplectic forms on special linear and symplectic groups of rank 2. The topics include: Kubota and Bass-Milnor-Serre homomorphisms, cubic metaplectic Eisenstein series, cubic theta functions, Whittaker functions. A special method is developed and applied to find Fourier coefficients of the Eisenstein series and cubic theta functions. The book is intended for readers, with beginning graduate-level background, interested in further research in the theory of metaplectic forms and in possible applications.

Keywords

DEX Einstein series Morphism form function functions group homomorphism metaplectic forms theta function theta functions

Bibliographic information

  • Book Title Cubic Metaplectic Forms and Theta Functions
  • Authors Nikolai Proskurin
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI https://doi.org/10.1007/BFb0093533
  • Copyright Information Springer-Verlag Berlin Heidelberg 1998
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-63751-6
  • eBook ISBN 978-3-540-69641-4
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages VIII, 200
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Number Theory
  • Buy this book on publisher's site
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