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On Denominators of Values of Certain L-Functions When Twisted by Characters

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L-Functions and Automorphic Forms

Part of the book series: Contributions in Mathematical and Computational Sciences ((CMCS,volume 10))

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Abstract

We try to bound the denominators of standard L-functions attached to Siegel modular forms when we twist them by Dirichlet characters. Main tools are our modification of the doubling method (Böcherer et al., Ann. Inst. Fourier 50:1375–1443, 2000) together with its application to congruences by the method of Katsurada (Math. Z. 259:97–111, 2008) and integrality properties of Bernoulli numbers with characters.

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Notes

  1. 1.

    Under additional conditions on n and ψ this is also true for k = n + 1.

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Authors and Affiliations

  1. Kunzenhof 4B, 79117, Freiburg, Germany

    Siegfried Böcherer

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  1. Siegfried Böcherer
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Correspondence to Siegfried Böcherer .

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Editors and Affiliations

  1. Fachbereich Mathematik, Technische Universität Darmstadt, Darmstadt, Germany

    Jan Hendrik Bruinier

  2. Mathematisches Institut, Universität Heidelberg, Heidelberg, Germany

    Winfried Kohnen

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Böcherer, S. (2017). On Denominators of Values of Certain L-Functions When Twisted by Characters. In: Bruinier, J., Kohnen, W. (eds) L-Functions and Automorphic Forms. Contributions in Mathematical and Computational Sciences, vol 10. Springer, Cham. https://doi.org/10.1007/978-3-319-69712-3_3

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