Cubic Metaplectic Forms and Theta Functions

von Nikolai Proskurin

200 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540637516
• Sprache: Englisch
• Erscheinungsdatum: 19.01.1998
• Genre: Mathematik/Arithmetik, Algebra
• Verlag: Springer Berlin