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.

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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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Table of contents (3 chapters)

Front Matter

Part 0

Part 1

Part 2

Back Matter

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