Cubic Metaplectic Forms and Theta Functions / by Nikolai Proskurin.

Format:

Book

Author/Creator:

Proskurin, Nikolai, 1953- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1677.

Lecture Notes in Mathematics, 0075-8434 ; 1677

Language:

English

Subjects (All):

Number theory.

Number Theory.

Local Subjects:

Number Theory.

Physical Description:

1 online resource (VIII, 200 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1998.

System Details:

text file PDF

Summary:

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.

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)

Cubic metaplectic forms on Sp(4,C)/Sp(4)

Eisenstein series E(w,s;Theta) and cubic theta functions

References

Index.

Other Format:

Printed edition:

ISBN:

9783540696414

Access Restriction:

Restricted for use by site license.