000 02837nam a22004575i 4500
001 978-3-540-69641-4
003 DE-He213
005 20190213151157.0
007 cr nn 008mamaa
008 121227s1998 gw | s |||| 0|eng d
020 _a9783540696414
_9978-3-540-69641-4
024 7 _a10.1007/BFb0093533
_2doi
050 4 _aQA241-247.5
072 7 _aPBH
_2bicssc
072 7 _aMAT022000
_2bisacsh
072 7 _aPBH
_2thema
082 0 4 _a512.7
_223
100 1 _aProskurin, Nikolai.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aCubic Metaplectic Forms and Theta Functions
_h[electronic resource] /
_cby Nikolai Proskurin.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1998.
300 _aVIII, 200 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1677
505 0 _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.
520 _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.
650 0 _aNumber theory.
650 1 4 _aNumber Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M25001
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662214411
776 0 8 _iPrinted edition:
_z9783540637516
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1677
856 4 0 _uhttps://doi.org/10.1007/BFb0093533
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c9784
_d9784