Cubic metaplectic forms and theta functions
Author(s)
Bibliographic Information
Cubic metaplectic forms and theta functions
（Lecture notes in mathematics, 1677）
Springer, c1998
- : softcover
Available at / 90 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: softcoverL/N||LNM||1677RM980329
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: softcover512.7/P9452070435575
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Note
Includes bibliographical references (p. [188]-193) and index
Description and Table of Contents
Description
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.
by "Nielsen BookData"