Cubic Metaplectic Forms and Theta Functions: 1677 - Brossura

Proskurin, Nikolai

Brossura

ISBN 10: 3540637516 ISBN 13: 9783540637516

Casa editrice: Springer, 2009

Riassunto

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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Contenuti

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 Description

Book by Proskurin Nikolai

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 3540637516
• ISBN 13: 9783540637516
• Rilegatura: Copertina flessibile
• Numero di pagine: 208
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Germania