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Die Riemann-Siegel-Integralformel für die Mellintransformation von Spitzenformen

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Abstract.

An analogue of the classical Riemann-Siegel integral formula for Dirichlet series associated to cusp forms is developed. As an application of the formula, we give a comparatively simple proof of the approximate functional equation for this type of Dirichlet series.

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Authors and Affiliations

  1. FB Mathematik, Universität Kaiserslautern, D-67663 Kaiserslautern, Germany, , , , , , DE

    Andreas Guthmann

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  1. Andreas Guthmann
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Received: 4.10.1996; new version received 10.3.1997.

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Guthmann, A. Die Riemann-Siegel-Integralformel für die Mellintransformation von Spitzenformen. Arch. Math. 69, 391–402 (1997). https://doi.org/10.1007/s000130050137

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  • DOI: https://doi.org/10.1007/s000130050137

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