Cubic Metaplectic Forms and Theta Functions

Nikolai Proskurin (auth.)3540637516, 9783540637516

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.

---

Table of contents :
Part 0….Pages 1-62
Part 1….Pages 63-125
Part 2….Pages 126-187