Cubic Metaplectic Forms and Theta Functions

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 Ei...

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Détails bibliographiques
Auteur principal: Proskurin, Nikolai Vitalievich, 1953-
Format: Livre numérique
Langue:Anglais
Publié: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Collection:Lecture notes in mathematics 1677
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Note: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Cubic metaplectic forms and theta functions, Nikolai Proskurin, Berlin, Springer, 1998, 1 vol. (VII-196 p.), Lecture notes in mathematics, 3-540-63751-6
• Cubic Metaplectic Forms and Theta Functions, Texte imprimé, 9783662214411
Table des matières:
  • 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.