An estimate for a certain average of the special values of character twists of modular $L$-functions
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- by M. Manickam and B. Ramakrishnan PDF
- Proc. Amer. Math. Soc. 133 (2005), 2515-2517 Request permission
Abstract:
We prove the Lindelöf hypothesis in weight aspect for the average of the special values of the twisted $L$-functions of newforms, which generalizes the work of W. Kohnen and J. Sengupta (2002).References
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- Winfried Kohnen and Jyoti Sengupta, Waldspurger’s formula and central critical values of $L$-functions of newforms in weight aspect, Number theoretic methods (Iizuka, 2001) Dev. Math., vol. 8, Kluwer Acad. Publ., Dordrecht, 2002, pp. 213–217. MR 1974141, DOI 10.1007/978-1-4757-3675-5_{1}1
- M. Manickam and B. Ramakrishnan, On Shimura, Shintani and Eichler-Zagier correspondences, Trans. Amer. Math. Soc. 352 (2000), no. 6, 2601–2617. MR 1637086, DOI 10.1090/S0002-9947-00-02423-5
Additional Information
- M. Manickam
- Affiliation: Department of Mathematics, RKM Vivekananda College, Mylapore, Chennai 600 004, India
- Email: mmmanickam@yahoo.com
- B. Ramakrishnan
- Affiliation: Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad 211 019, India
- MR Author ID: 256629
- Email: ramki@mri.ernet.in
- Received by editor(s): February 11, 2004
- Published electronically: April 22, 2005
- Communicated by: David E. Rohrlich
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 2515-2517
- MSC (2000): Primary 11F66; Secondary 11F11, 11F50
- DOI: https://doi.org/10.1090/S0002-9939-05-08109-8
- MathSciNet review: 2146235