
Automorphic Forms And Zeta Functions - Proceedings Of The Conference In Memory Of Tsuneo Arakawa
- 400 pages
- English
- PDF
- Available on iOS & Android
Automorphic Forms And Zeta Functions - Proceedings Of The Conference In Memory Of Tsuneo Arakawa
About this book
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 covered: Theta series and the basis problems, Jacobi forms, automorphic forms on Sp(1, q), double zeta functions, special values of zeta and L-functions, many of which are closely related to Arakawa's works.This collection of papers illustrates Arakawa's contributions and the current trends in modular forms in several variables and related zeta functions.
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Table of contents
- CONTENTS
- Preface
- Tsuneo Arakawa and His Works
- Estimate of the Dimensions of Hilbert Modular Forms by Means of Differential Operators
- Marsden-Weinstein Reduction Orbits and Representations of the Jacobi Group
- On Eisenstein Series of Degree Two for Squarefree Levels and the Genus Version of the Basis Problem I
- Double Zeta Values and Modular Forms
- Type Numbers and Linear Relations of Theta Series for Some General Orders of Quaternion Algebras
- Skew-Holomorphic Jacobi Forms of Higher Degree
- A Hermitian Analog of the Schottky Form
- The Siegel Series and Spherical Functions on 0(2n)/(0(n) x 0(n))
- Koecher-Maafi Series for Real Analytic Siegel Eisenstein Series
- A Short History on Investigation of the Special Values of Zeta and L-Functions of Totally Real Number Fields
- Genus Theta Series Hecke Operators and the Basis Problem for Eisenstein Series
- The Quadratic Mean of Automorphic L-Functions
- Inner Product Formula for Kudla Lift
- On Certain Automorphic Forms of Sp(1 q) (Arakawa's Results and Recent Progress)
- On Modular Forms for the Paramodular Groups
- SL(2 Z)-Invariant Spaces Spanned by Modular Units