Cubic Metaplectic Forms and Theta Functions / Edition 1

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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.

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Product Details

  • ISBN-13: 9783540637516
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 3/20/1998
  • Series: Lecture Notes in Mathematics Series , #1677
  • Edition description: 1998
  • Edition number: 1
  • 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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