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- catalog abstract "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.".
- catalog contributor b10780883.
- catalog created "c1998.".
- catalog date "1998".
- catalog date "c1998.".
- catalog dateCopyrighted "c1998.".
- catalog description "Includes bibliographical references (p. [188]-193) and index.".
- catalog description "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.".
- catalog description "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.".
- catalog extent "vii, 196 p. ;".
- catalog hasFormat "Cubic metaplectic forms and theta functions.".
- catalog identifier "3540637516 (softcover : alk. paper)".
- catalog isFormatOf "Cubic metaplectic forms and theta functions.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1677.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1677".
- catalog issued "1998".
- catalog issued "c1998.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog relation "Cubic metaplectic forms and theta functions.".
- catalog subject "510 s 512/.7 21".
- catalog subject "Automorphic forms.".
- catalog subject "Discontinuous groups.".
- catalog subject "Functions, Theta.".
- catalog subject "Mathematics.".
- catalog subject "Number theory.".
- catalog subject "QA3 .L28 no. 1677 QA243".
- catalog tableOfContents "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.".
- catalog title "Cubic metaplectic forms and theta functions / Nikolai Proskurin.".
- catalog type "text".