LEADER 05127nam 22006734a 450 001 9910784752703321 005 20200520144314.0 010 $a1-281-91946-2 010 $a9786611919467 010 $a981-277-441-6 035 $a(CKB)1000000000402185 035 $a(EBL)1679885 035 $a(OCoLC)879024238 035 $a(SSID)ssj0000107979 035 $a(PQKBManifestationID)11141608 035 $a(PQKBTitleCode)TC0000107979 035 $a(PQKBWorkID)10017249 035 $a(PQKB)11459379 035 $a(MiAaPQ)EBC1679885 035 $a(WSP)00006005 035 $a(Au-PeEL)EBL1679885 035 $a(CaPaEBR)ebr10201366 035 $a(CaONFJC)MIL191946 035 $a(PPN)168031825 035 $a(EXLCZ)991000000000402185 100 $a20061005d2006 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aAutomorphic forms and zeta functions$b[electronic resource] $eproceedings of the conference in memory of Tsuneo Arakawa : Rikkyo University, Japan, 4-7 September 2004 /$feditors, Siegried Bo?cherer ... [et al.] 210 $aNew Jersey $cWorld Scientific$dc2006 215 $a1 online resource (400 p.) 300 $aDescription based upon print version of record. 311 $a981-256-632-5 320 $aIncludes bibliographical references. 327 $aCONTENTS ; Preface ; Tsuneo Arakawa and His Works ; 1 Tsuneo Arakawa (1949 - 2003) ; 2 Arakawa's works on Siegel and Jacobi modular forms ; 3 Arakawa's works on Selberg zeta functions ; 4 Arakawa's works on special values of zeta and L- functions 327 $aList of Publications of Tsuneo Arakawa Estimate of the Dimensions of Hilbert Modular Forms by Means of Differential Operators ; 1 Definitions and notations ; 2 Estimate of the dimension ; 3 A differential operator of Rankin-Cohen-Ibukiyama type ; 4 Remark ; References 327 $aMarsden-Weinstein Reduction Orbits and Representations of the Jacobi Group 1 Some General Remarks on the Orbit Method and Marsden-Weinstein Reduction ; 2 Discrete Series Representations of SL(2 R) and the Jacobi Group ; 3 Coadjoint Orbits of SL(2 R) and GJ 327 $a4 Marsden-Weinstein Reduction and Symplectic Volumes 5 Appendix: Explicit Expressions of Symplectic Forms for Elliptic Coadjoint Obits of GJ ; References ; On Eisenstein Series of Degree Two for Squarefree Levels and the Genus Version of the Basis Problem I ; 1 Introduction 327 $a2 Preliminaries 3 Cusps and Eisenstein series for rno(N) ; 4 Coset decompositions for r2o(N) ; 5 Unfolding I ; 6 Double cosets for r0(N) ; 7 Unfolding II ; 8 The basis problem for squarefree level ; References ; Double Zeta Values and Modular Forms 327 $a1 Introduction and main results 330 $a This volume contains a valuable collection of articles presented at a conference on Automorphic Forms and Zeta Functions in memory of Tsuneo Arakawa, an eminent researcher in modular forms in several variables and zeta functions. The book begins with a review of his works, followed by 16 articles by experts in the fields including H Aoki, R Berndt, K Hashimoto, S Hayashida, Y Hironaka, H Katsurada, W Kohnen, A Krieg, A Murase, H Narita, T Oda, B Roberts, R Schmidt, R Schulze-Pillot, N Skoruppa, T Sugano, and D Zagier. A variety of topics in the theory of modular forms and zeta functions are c 606 $aAutomorphic forms$vCongresses 606 $aFunctions, Zeta$vCongresses 610 $a1. AUTOMORPHIC FORMS. 2. FUNCTIONS, ZETA 610 $aScience 615 0$aAutomorphic forms 615 0$aFunctions, Zeta 676 $a512.73 701 $aBo?cherer$b Siegfried$01515944 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910784752703321 996 $aAutomorphic forms and zeta functions$93752046 997 $aUNINA