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Other titles in the Lecture Notes in Mathematics series:

Cubic Metaplectic Forms & Theta Functions

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Cubic Metaplectic Forms & Theta Functions Cover

 

Synopses & Reviews

Publisher Comments:

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

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.

Product Details

ISBN:
9783540637516
Author:
Proskurin, N.
Publisher:
Springer
Editor:
Dold, A.
Editor:
Dold, Albrecht
Author:
Proskurin, Nikolai
Location:
Berlin, Heidelberg
Subject:
Functions, Theta.
Subject:
Automorphic forms
Subject:
Number Theory
Subject:
Einstein Series
Subject:
metaplectic forms
Subject:
theta-functions
Subject:
Mathematics-Number Theory
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Copyright:
Edition Description:
Book
Series:
Lecture Notes in Mathematics
Series Volume:
1677
Publication Date:
19980320
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
208
Dimensions:
235 x 155 mm 660 gr

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