Cubic Metaplectic Forms and Theta Functions

• Main Author: Proskurin, Nikolai (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.
• Edition: 1st ed. 1998.
• Series: Lecture Notes in Mathematics, 1677
• Subjects: Number theory.; Number Theory.

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 Ei...

Table of Contents:

• Preliminaries
• Kubota and Bass-Milnor-Serre homomorphisms
• Cubic metaplectic forms and Kubota-Patterson cubic theta function
• On Dirichlet series associated with cubic Gauss sums
• Group SL(3,C)
• Discrete subgroups
• Cubic metaplectic forms on SL(3,C)/SU(3)
• Eisenstein series Fourier coefficients
• Eisenstein series E (w,s; Theta) and cubic theta function
• Group Sp(4,C)
• Discrete subgroups
• Cubic metaplectic forms on Sp(4,C)/Sp(4)
• Eisenstein series Fourier coefficients
• Eisenstein series E(w,s;Theta) and cubic theta functions
• References
• Index.