Buch, Englisch, Band 1677, 200 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 324 g
Reihe: Lecture Notes in Mathematics
Buch, Englisch, Band 1677, 200 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 324 g
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-63751-6
Verlag: Springer Berlin Heidelberg
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
