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L-Functions for Jacobi Forms of Arbitrary Degree

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Abstract

A finite number ofL-functions are associated to every Jacobi cusp form of degreen. TheseL-functions are infinite series constructed with the Fourier coefficients of the form and a variables in ℂn. It is proved that eachL-function has an integral representation, admits a holomorphic continuation to the whole space ℂn, and the row vector formed with them satisfies a particular matrix functional equation.

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  1. Department of Mathematics, University of California, 94720, Berkeley, CA, USA

    Y. Martin

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  1. Y. Martin
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Martin, Y. L-Functions for Jacobi Forms of Arbitrary Degree. Abh.Math.Semin.Univ.Hambg. 68, 45–63 (1998). https://doi.org/10.1007/BF02942550

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  • DOI: https://doi.org/10.1007/BF02942550

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