Cubic Metaplectic Forms and Theta Functions

• Κύριος συγγραφέας: Proskurin, Nikolai (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
• Έκδοση: 1st ed. 1998.
• Σειρά: Lecture Notes in Mathematics, 1677
• Θέματα: Number theory.; Number Theory.
• Φυσική περιγραφή: VIII, 200 p. online resource.
• ISBN: 9783540696414
• ISSN: 0075-8434 ;
• DOI: 10.1007/BFb0093533

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.