TY  - BOOK
AU  - Proskurin,Nikolai
ED  - SpringerLink (Online service)
TI  - Cubic Metaplectic Forms and Theta Functions
T2  - Lecture Notes in Mathematics,
SN  - 9783540696414
AV  - QA241-247.5 
U1  - 512.7 23
PY  - 1998///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Number theory
KW  - Number Theory
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/BFb0093533
ER  -