LEADER 03197nam 2200649 450 001 9910146295703321 005 20220905193606.0 010 $a3-540-69641-5 024 7 $a10.1007/BFb0093533 035 $a(CKB)1000000000437336 035 $a(SSID)ssj0000322408 035 $a(PQKBManifestationID)12091382 035 $a(PQKBTitleCode)TC0000322408 035 $a(PQKBWorkID)10287583 035 $a(PQKB)10564899 035 $a(DE-He213)978-3-540-69641-4 035 $a(MiAaPQ)EBC5610562 035 $a(Au-PeEL)EBL5610562 035 $a(OCoLC)1079008431 035 $a(MiAaPQ)EBC6841849 035 $a(Au-PeEL)EBL6841849 035 $a(OCoLC)1292355393 035 $a(PPN)15522977X 035 $a(EXLCZ)991000000000437336 100 $a20220905d1998 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aCubic metaplectic forms and theta functions /$fNikolai Proskurin 205 $a1st ed. 1998. 210 1$aBerlin, Germany ;$aNew York, New York :$cSpringer,$d[1998] 210 4$dİ1998 215 $a1 online resource (VIII, 200 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1677 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-63751-6 320 $aIncludes bibliographical references (pages [188]-193) and index. 327 $aPreliminaries -- 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. 330 $aThe book is an introduction to the theory of cubic metaplectic forms on the 3-dimensional hyperbolic space and the author's research on cubic metaplectic forms on special linear and symplectic groups of rank 2. The topics include: Kubota and Bass-Milnor-Serre homomorphisms, cubic metaplectic Eisenstein series, cubic theta functions, Whittaker functions. A special method is developed and applied to find Fourier coefficients of the Eisenstein series and cubic theta functions. The book is intended for readers, with beginning graduate-level background, interested in further research in the theory of metaplectic forms and in possible applications. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1677. 606 $aFunctions, Theta 606 $aDiscontinuous groups 606 $aAutomorphic forms 615 0$aFunctions, Theta. 615 0$aDiscontinuous groups. 615 0$aAutomorphic forms. 676 $a512.7 700 $aProskurin$b Nikolai$f1953-$061764 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910146295703321 996 $aCubic metaplectic forms and theta functions$978092 997 $aUNINA