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AuthorProskurin, Nikolai. author
TitleCubic Metaplectic Forms and Theta Functions [electronic resource] / by Nikolai Proskurin
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1998
Connect tohttp://dx.doi.org/10.1007/BFb0093533
Descript VIII, 200 p. online resource

SUMMARY

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


CONTENT

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


Mathematics Number theory Mathematics Number Theory



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