LEADER 02724nam 2200673 450 001 9910483308503321 005 20220822081347.0 010 $a1-280-96017-5 010 $a9786610960170 010 $a3-540-73324-8 024 7 $a10.1007/978-3-540-73324-9 035 $a(CKB)1000000000437254 035 $a(EBL)3061608 035 $a(SSID)ssj0000193741 035 $a(PQKBManifestationID)11166274 035 $a(PQKBTitleCode)TC0000193741 035 $a(PQKBWorkID)10226839 035 $a(PQKB)10139503 035 $a(DE-He213)978-3-540-73324-9 035 $a(MiAaPQ)EBC3061608 035 $a(MiAaPQ)EBC6819790 035 $a(Au-PeEL)EBL6819790 035 $a(OCoLC)184906575 035 $a(PPN)123163269 035 $a(EXLCZ)991000000000437254 100 $a20220822d2007 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLocal newforms for GSp(4) /$fBrooks Roberts, Ralf Schmidt 205 $a1st ed. 2007. 210 1$aBerlin ;$aHeidelberg ;$aNew York :$cSpringer,$d[2007] 210 4$dİ2007 215 $a1 online resource (310 p.) 225 1 $aLecture notes in mathematics (Springer-Verlag) ;$v1918 300 $aDescription based upon print version of record. 311 $a3-540-73323-X 320 $aIncludes bibliographical references and index. 327 $aA Summary -- Representation Theory -- Paramodular Vectors -- Zeta Integrals -- Non-supercuspidal Representations -- Hecke Operators -- Proofs of the Main Theorems. 330 $aLocal Newforms for GSp(4) describes a theory of new- and oldforms for representations of GSp(4) over a non-archimedean local field. This theory considers vectors fixed by the paramodular groups, and singles out certain vectors that encode canonical information, such as L-factors and epsilon-factors, through their Hecke and Atkin-Lehner eigenvalues. While there are analogies to the GL(2) case, this theory is novel and unanticipated by the existing framework of conjectures. An appendix includes extensive tables about the results and the representation theory of GSp(4). 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1918. 606 $aRepresentations of groups 606 $aAutomorphic forms 606 $aHecke operators 615 0$aRepresentations of groups. 615 0$aAutomorphic forms. 615 0$aHecke operators. 676 $a512.2 700 $aRoberts$b Brooks$f1964-$0472511 702 $aSchmidt$b Ralf$f1968- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483308503321 996 $aLocal newforms for GSp(4$9230579 997 $aUNINA