1.

Record Nr.

UNINA9910458605903321

Titolo

Automorphic 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.]

Pubbl/distr/stampa

New Jersey, : World Scientific, c2006

ISBN

1-281-91946-2

9786611919467

981-277-441-6

Descrizione fisica

1 online resource (400 p.)

Altri autori (Persone)

BöchererSiegfried

Disciplina

512.73

Soggetti

Automorphic forms

Functions, Zeta

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

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- 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

1 Introduction and main results

Sommario/riassunto

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