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

Author(s): M. Manickam; B. Ramakrishnan
Journal: Proc. Amer. Math. Soc. 133 (2005), 2515-2517.
MSC (2000): Primary 11F66; Secondary 11F11, 11F50
Posted: April 22, 2005
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Abstract: We prove the Lindelöf hypothesis in weight aspect for the average of the special values of the twisted -functions of newforms, which generalizes the work of W. Kohnen and J. Sengupta (2002).

References:

1.: H. Iwaniec and P. Michel, The second moment of the symmetric square -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 -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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