05160nam 22006854a 450 991045860590332120200520144314.01-281-91946-29786611919467981-277-441-6(CKB)1000000000402185(EBL)1679885(OCoLC)879024238(SSID)ssj0000107979(PQKBManifestationID)11141608(PQKBTitleCode)TC0000107979(PQKBWorkID)10017249(PQKB)11459379(MiAaPQ)EBC1679885(WSP)00006005(PPN)168031825(Au-PeEL)EBL1679885(CaPaEBR)ebr10201366(CaONFJC)MIL191946(EXLCZ)99100000000040218520061005d2006 uy 0engur|n|---|||||txtccrAutomorphic forms and zeta functions[electronic resource] proceedings of the conference in memory of Tsuneo Arakawa : Rikkyo University, Japan, 4-7 September 2004 /editors, Siegried Böcherer ... [et al.]New Jersey World Scientificc20061 online resource (400 p.)Description based upon print version of record.981-256-632-5 Includes bibliographical references.CONTENTS ; 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- functionsList 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 ; ReferencesMarsden-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 GJ4 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 Introduction2 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 Forms1 Introduction and main results 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 cAutomorphic formsCongressesFunctions, ZetaCongressesElectronic books.1. AUTOMORPHIC FORMS. 2. FUNCTIONS, ZETAScienceAutomorphic formsFunctions, Zeta512.73Böcherer Siegfried971126MiAaPQMiAaPQMiAaPQBOOK9910458605903321Automorphic forms and zeta functions2207444UNINA