Automorphic Forms and Zeta Functions

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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 wit…

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    Om Automorphic Forms and Zeta Functions

    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.Contents:Tsuneo Arakawa and His WorksEstimate of the Dimensions of Hilbert Modular Forms by Means of Differential Operators (H Aoki)Marsden–Weinstein Reduction, Orbits and Representations of the Jacobi Group (R Berndt)On Eisenstein Series of Degree Two for Squarefree Levels and the Genus Version of the Basis Problem I (S Böcherer)Double Zeta Values and Modular Forms (H Gangl et al.)Type Numbers and Linear Relations of Theta Series for Some General Orders of Quaternion Algebras (K-I Hashimoto)Skew-Holomorphic Jacobi Forms of Higher Degree (S Hayashida)A Hermitian Analog of the Schottky Form (M Hentschel & A Krieg)The Siegel Series and Spherical Functions on O(2n)/(O(n) x O(n)) (Y Hironaka & F Sato)Koecher–Maaß Series for Real Analytic Siegel Eisenstein Series (T Ibukiyama & H Katsurada)A Short History on Investigation of the Special Values of Zeta and L-Functions of Totally Real Number Fields (T Ishii & T Oda)Genus Theta Series, Hecke Operators and the Basis Problem for Eisenstein Series (H Katsurada & R Schulze-Pillot)The Quadratic Mean of Automorphic L-Functions (W Kohnen et al.)Inner Product Formula for Kudla Lift (A Murase & T Sugano)On Certain Automorphic Forms of Sp(1,q) (Arakawa's Results and Recent Progress) (H-A Narita)On Modular Forms for the Paramodular Groups (B Roberts & R Schmidt)SL(2,Z)-Invariant Spaces Spanned by Modular Units (N-P Skoruppa & W Eholzer)Readership: Researchers and graduate students in number theory or representation theory as well as in mathematical physics or combinatorics.

    Detaljer

    Format
    E-Bok
    Filformat
    PDF
    Utgivelsesår
    2006
    Forlag
    World Scientific Publishing Co
    Språk
    Engelsk
    ISBN
    9789812774415
    Sider
    400

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