Cubic metaplectic forms and theta functions /
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Author / Creator: | Proskurin, Nikolai, 1953- |
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Imprint: | Berlin ; New York : Springer, c1998. |
Description: | vii, 196 p. ; 24 cm. |
Language: | English |
Series: | Lecture notes in mathematics, 0075-8434 ; 1677 Lecture notes in mathematics (Springer-Verlag) ; 1677. |
Subject: | |
Format: | Print Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/2967025 |
Summary: | 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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Physical Description: | vii, 196 p. ; 24 cm. |
Bibliography: | Includes bibliographical references (p. [188]-193) and index. |
ISBN: | 3540637516 |
ISSN: | 0075-8434 ; |