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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.
Buchkauf
Cubic metaplectic forms and theta functions, Nikolaj Proskurin
- Sprache
- Erscheinungsdatum
- 1998
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- Titel
- Cubic metaplectic forms and theta functions
- Sprache
- Englisch
- Autor*innen
- Nikolaj Proskurin
- Verlag
- Springer
- Erscheinungsdatum
- 1998
- ISBN10
- 3540637516
- ISBN13
- 9783540637516
- Kategorie
- Mathematik
- Beschreibung
- 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.