Automorphic forms and zeta functions : proceedings of the conference in memory of Tsuneo Arakawa : Rikkyo University, Japan, 4-7 September 2004 / editors, Siegried Bocherer ... [et al.].

Format:

Book

Contributor:

Böcherer, Siegfried.

Language:

English

Subjects (All):

Automorphic forms--Congresses.

Automorphic forms.

Functions, Zeta--Congresses.

Functions, Zeta.

Physical Description:

1 online resource (400 p.)

Edition:

1st ed.

Other Title:

Proceedings of the conference in memory of Tsuneo Arakawa

Place of Publication:

New Jersey : World Scientific, c2006.

Language Note:

English

Summary:

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

Contents:

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

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9786611919467

9781281919465

1281919462

9789812774415

9812774416

OCLC:

879024238