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Functional equations of real analytic Jacobi Eisenstein series

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Abstract

We prove the existence of meromorphic continuation and the functional equation of the real analytic Jacobi Eisenstein series of degree m and matrix index T in case T is a kernel form.

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Authors and Affiliations

  1. Department of Mathematics, Tokyo Institute of Technology, Oo-okayama, Meguro-ku, Tokyo, 152-8551, Japan

    Shin-ichiro Mizumoto

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  1. Shin-ichiro Mizumoto
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Correspondence to Shin-ichiro Mizumoto.

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Communicated by Jens Funke.

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Mizumoto, Si. Functional equations of real analytic Jacobi Eisenstein series. Abh. Math. Semin. Univ. Hambg. 89, 55–75 (2019). https://doi.org/10.1007/s12188-019-00200-z

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  • DOI: https://doi.org/10.1007/s12188-019-00200-z

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