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Sturm-Like Bound for Square-Free Fourier Coefficients Read chapter Read first chapter

2017 | OriginalPaper | Chapter

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

Author : Siegfried Böcherer

Published in: L-Functions and Automorphic Forms

Publisher: Springer International Publishing

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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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previous chapter Images of Maass-Poincaré Series in the Lower Half-Plane
next chapter First Order p-Adic Deformations of Weight One Newforms
Footnotes
1
Under additional conditions on n and ψ this is also true for k = n + 1.
 
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Metadata
Title
On Denominators of Values of Certain L-Functions When Twisted by Characters
Author
Siegfried Böcherer
Copyright Year
2017
Book
L-Functions and Automorphic Forms

Print ISBN: 978-3-319-69711-6

Electronic ISBN: 978-3-319-69712-3

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-69712-3_3

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