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Theta series of imaginary quadratic function fields

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Abstract

LetL be an imaginary quadratic extension of the rational function field\(\mathbb{F}_q (t)\). We prove transformation rules for the theta series corresponding to partial zeta functions of the extension\(L/\mathbb{F}_q (t)\).

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Authors and Affiliations

  1. Institut für Experimentelle Mathematik, Universität GH Essen, Ellernstr. 29, D-45326, Essen, Germany

    Hans-Georg Rück

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  1. Hans-Georg Rück
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Rück, HG. Theta series of imaginary quadratic function fields. Manuscripta Math 88, 387–407 (1995). https://doi.org/10.1007/BF02567829

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  • DOI: https://doi.org/10.1007/BF02567829

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