03197nam 2200649 450 991014629570332120220905193606.03-540-69641-510.1007/BFb0093533(CKB)1000000000437336(SSID)ssj0000322408(PQKBManifestationID)12091382(PQKBTitleCode)TC0000322408(PQKBWorkID)10287583(PQKB)10564899(DE-He213)978-3-540-69641-4(MiAaPQ)EBC5610562(Au-PeEL)EBL5610562(OCoLC)1079008431(MiAaPQ)EBC6841849(Au-PeEL)EBL6841849(OCoLC)1292355393(PPN)15522977X(EXLCZ)99100000000043733620220905d1998 uy 0engurnn|008mamaatxtccrCubic metaplectic forms and theta functions /Nikolai Proskurin1st ed. 1998.Berlin, Germany ;New York, New York :Springer,[1998]©19981 online resource (VIII, 200 p.) Lecture Notes in Mathematics,0075-8434 ;1677Bibliographic Level Mode of Issuance: Monograph3-540-63751-6 Includes bibliographical references (pages [188]-193) and index.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.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.Lecture notes in mathematics (Springer-Verlag) ;1677.Functions, ThetaDiscontinuous groupsAutomorphic formsFunctions, Theta.Discontinuous groups.Automorphic forms.512.7Proskurin Nikolai1953-61764MiAaPQMiAaPQMiAaPQBOOK9910146295703321Cubic metaplectic forms and theta functions78092UNINA