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Automorphic Forms and Zeta Functions : Proceedings of the Conference in Memory of Tsuneo Arakawa Rikkyo University, Japan 4-7 September 2004.

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ibukiyama, Tomoyoshi
Otros Autores: Kaneko, Masanobu, Sato, Fumihiro
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : World Scientific Publishing Company, 2006.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.
  • List 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.
  • Marsden-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.
  • 4 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.
  • 2 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.