Cubic Metaplectic Forms and Theta Functions

✍ Scribed by Nikolai Proskurin (auth.)

• Book ID: 127425879
• Publisher: Springer
• Year: 1998
• Tongue: English
• Weight: 1 MB
• Edition: 1
• Category: Library
• City: Berlin; New York
• ISBN: 3540696415
• ISSN: 0075-8434
• DOI: 10.1007/BFb0093533

✦ Synopsis

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.

✦ Subjects

Number Theory