Cubic Metaplectic Forms and Theta Functions

Nikolai Proskurin (Autor)

Buch | Softcover

VIII, 200 Seiten

1998
Springer Berlin (Verlag)
978-3-540-63751-6 (ISBN)

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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.

From the 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.

Erscheint lt. Verlag	19.1.1998
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	VIII, 200 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	315 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	DEX • Einstein series • Form • Function • Functions • Group • Homomorphism • metaplectic forms • Morphism • theta function • theta functions • Theta-Funktion • Zahlentheorie
ISBN-10	3-540-63751-6 / 3540637516
ISBN-13	978-3-540-63751-6 / 9783540637516
Zustand	Neuware