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An estimate for a certain average of the special values of character twists of modular $L$-functions


Authors: M. Manickam and B. Ramakrishnan
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
Published electronically: April 22, 2005
MathSciNet review: 2146235
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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 [Enhancements On Off] (What's this?)

  • 1. H. Iwaniec and P. Michel, The second moment of the symmetric square $L$-functions, Ann. Acad. Sci. Fennicae 26 (2001), 465-482. MR 1833252 (2002d:11051)
  • 2. W. Kohnen and J. Sengupta, Waldspurger's formula and central critical values of $L$-functions of newforms in weight aspect, Number theoretic methods (Iizuka, 2001), 213-217, Dev. Math., 8, Kluwer Acad. Publ., Dordrecht, 2002. MR 1974141 (2004c:11069)
  • 3. M. Manickam and B. Ramakrishnan, On Shimura, Shintani and Eichler-Zagier correspondences, Trans. Amer. Math. Soc. 352 (2000), no. 6, 2601-2617. MR 1637086 (2000j:11061)

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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
Email: ramki@mri.ernet.in

DOI: https://doi.org/10.1090/S0002-9939-05-08109-8
Received by editor(s): February 11, 2004
Published electronically: April 22, 2005
Communicated by: David E. Rohrlich
Article copyright: © Copyright 2005 American Mathematical Society

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