Cubic Metaplectic Forms and Theta Functions / Edition 1

Cubic Metaplectic Forms and Theta Functions / Edition 1

by Nikolai Proskurin
     
 

ISBN-10: 3540637516

ISBN-13: 9783540637516

Pub. Date: 03/20/1998

Publisher: Springer Berlin Heidelberg

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

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Overview

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.

Product Details

ISBN-13:
9783540637516
Publisher:
Springer Berlin Heidelberg
Publication date:
03/20/1998
Series:
Lecture Notes in Mathematics Series, #1677
Edition description:
1998
Pages:
200
Product dimensions:
9.21(w) x 6.14(h) x 0.44(d)

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.

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