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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genus theta series, double zeta values, adelic function, hermitian modular forms, paramodular group, unipotent contribution, double shuffle relations, elliptic cusp forms, theta lifting, modular subset, ray class characters, trivial central character, period polynomials, elliptic modular forms, partial zeta function, multiple zeta values, real quadratic fields, cuspidal automorphic representation, modular sets, holomorphic cusp form, automorphic forms, automorphic representations, class number formula, full modular group, discrete series representations Key Phrases - Capitalized Phrases (CAPs): (learn more)
Tsuneo Arakawa, Siegel Eisenstein, Germany E-mail, Japan E-mail, Department of Mathematics, Jacobi Eisenstein, Duke Math, Lecture Notes, Nagoya Math, Pure Math, London Math, University of Tokyo, Cambridge Univ, Gesammelte Abhandlungen, Newforms Conjecture, Compositio Math, Dedekindscher Summen, Dirichlet L-function, Klingen Eisenstein, Koecher-Maaß Dirichlet, Mathematische Werke, Tata Lecture Note, Tokyo Sect New!
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genus theta series, double zeta values, adelic function, hermitian modular forms, paramodular group, unipotent contribution, double shuffle relations, elliptic cusp forms, theta lifting, modular subset, ray class characters, trivial central character, period polynomials, elliptic modular forms, partial zeta function, multiple zeta values, real quadratic fields, cuspidal automorphic representation, modular sets, holomorphic cusp form, automorphic forms, automorphic representations, class number formula, full modular group, discrete series representations Key Phrases - Capitalized Phrases (CAPs): (learn more)
Tsuneo Arakawa, Siegel Eisenstein, Germany E-mail, Japan E-mail, Department of Mathematics, Jacobi Eisenstein, Duke Math, Lecture Notes, Nagoya Math, Pure Math, London Math, University of Tokyo, Cambridge Univ, Gesammelte Abhandlungen, Newforms Conjecture, Compositio Math, Dedekindscher Summen, Dirichlet L-function, Klingen Eisenstein, Koecher-Maaß Dirichlet, Mathematische Werke, Tata Lecture Note, Tokyo Sect New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
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