Cubic Metaplectic Forms and Theta Functions

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 Ei...

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Bibliografiske detaljer
Hovedforfatter: Proskurin, Nikolai Vitalievich, 1953-
Format: Livre numérique
Sprog:Anglais
Udgivet: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serier:Lecture notes in mathematics 1677
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Edition sous un autre format:• Cubic metaplectic forms and theta functions, Nikolai Proskurin, Berlin, Springer, 1998, 1 vol. (VII-196 p.), Lecture notes in mathematics, 3-540-63751-6
• Cubic Metaplectic Forms and Theta Functions, Texte imprimé, 9783662214411
Beskrivelse
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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Archives Springer e-books (Licence nationale)
ISBN:9783540696414 (PDF)
ISSN:1617-9692
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