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Cubic Metaplectic Forms and Theta Functions

  • Book
  • © 1998

Overview

Authors:
  1. Nikolai Proskurin
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1677)

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Table of contents (3 chapters)

  1. Front Matter

    Pages I-VIII
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  2. Part 0

    • Nikolai Proskurin
    Pages 1-62

  3. Part 1

    • Nikolai Proskurin
    Pages 63-125

  4. Part 2

    • Nikolai Proskurin
    Pages 126-187

  5. Back Matter

    Pages 188-196
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Cubic Metaplectic Forms and Theta Functions

  • Authors: Nikolai Proskurin

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0093533

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1998

  • Softcover ISBN: 978-3-540-63751-6Published: 19 January 1998

  • eBook ISBN: 978-3-540-69641-4Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 200

  • Topics: Number Theory

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