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Cubic Metaplectic Forms and Theta Functions

  • Authors
  • Nikolai┬áProskurin

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

  • DOI https://doi.org/10.1007/BFb0093533
  • Copyright Information Springer-Verlag Berlin Heidelberg 1998
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-63751-6
  • Online ISBN 978-3-540-69641-4
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site
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