Automorphic forms and zeta functions: proceedings of the conference in memory of Tsuneo Arakawa : Rikkyo University, Japan, 4-7 September 2004

Preface -- Tsuneo Arakawa and his works -- Estimate of the dimensions of Hilbert modular forms by means of differential operators / Hiroki Aoki -- Marsden-Weinstein reduction, orbits and representations of the Jacobi group / Rolf Berndt -- On Eisenstein series of degree two for squarefree levels and...

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Other Authors: Böcherer, Siegfried (Other)
Format: Conference Paper
Language:English
Published: New Jersey World Scientific c2006
Volumes / Articles: Show Volumes / Articles.
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Verlag, Zentralblatt MATH, Inhaltstext: https://zbmath.org/?q=an:1091.11003
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Author Notes:editors, Siegried Böcherer ... [et al.]
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Summary:Preface -- Tsuneo Arakawa and his works -- Estimate of the dimensions of Hilbert modular forms by means of differential operators / Hiroki Aoki -- Marsden-Weinstein reduction, orbits and representations of the Jacobi group / Rolf Berndt -- On Eisenstein series of degree two for squarefree levels and the genus version of the basis problem I / Siegfried Böcherer -- Double zeta values and modular forms / Herbert Gangl, Masanobu Kaneko and Don Zagier -- Type numbers and linear relations of theta series for some general orders of quaternion algebras / Ki-Ichiro Hashimoto -- Skew-holomorphic Jacobi forms of higher degree / Shuichi Hayashida -- A hermitian analog of the Schottky form / M. Hentschel and A. Krieg -- The Siegel series and spherical functions on O(2n)/(O(n) x O(n)) / Yumiko Hironaka and Fumihiro Sato -- Koecher-Maa[symbol] series for real analytic Siegel Eisenstein series / Tomoyoshi Ibukiyama and Hidenori Katsurada -- A short history on investigation of the special values of zeta and L-functions of totally real number fields / Taku Ishii and Takayuki Oda -- Genus theta series, Hecke operators and the basis problem for Eisenstein series / Hidenori Katsurada and Rainer Schulze-Pillot -- The quadratic mean of automorphic L-functions / W. Kohnen, A. Sankaranarayanan and J. Sengupta -- Inner product formula for Kudla lift / Atsushi Murase and Takashi Sugano -- On certain automorphic forms of Sp(1, q) (Arakawa's results and recent progress) / Hiro-Aki Narita -- On modular forms for the paramodular groups / Brooks Roberts and Ralf Schmidt -- SL(2, Z)- invariant spaces spanned by modular units / Nils-Peter Skoruppa and Wolfgang Eholzer.
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
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ISBN:9789812566324
9812566325
9789812774415
9812774416