## Indivisibility of central values of $L$-functions for modular forms

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## Abstract:

In this paper, we generalize works of Kohnen and Ono (in Invent. Math., 1999) and James and Ono (in Math. Ann., 1999) on indivisibility of (the algebraic part of) central critical values of $L$-functions to higher weight modular forms.## References

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## Additional Information

**Masataka Chida**- Affiliation: Graduate School of Mathematics, Kyoto University, Kitashirakawa, Sakyo-ku, Kyoto, Japan, 606-8502
- Email: chida@math.kyoto-u.ac.jp
- Received by editor(s): March 15, 2014
- Published electronically: February 25, 2015
- Additional Notes: The author was supported in part by the Japan Society for the Promotion of Science Research Fellowships for Young Scientists
- Communicated by: Ken Ono
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**143**(2015), 2829-2840 - MSC (2010): Primary 11F67; Secondary 11F37
- DOI: https://doi.org/10.1090/S0002-9939-2015-12503-8
- MathSciNet review: 3336608