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Fractional moments of automorphic $ L$-functions

Author: O. M. Fomenko
Translated by: G. V. Kuz′mina and O. M. Fomenko
Original publication: Algebra i Analiz, tom 22 (2010), nomer 2.
Journal: St. Petersburg Math. J. 22 (2011), 321-335
MSC (2010): Primary 11F03
Published electronically: February 8, 2011
MathSciNet review: 2668129
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Abstract: Upper and lower bounds for fractional moments of automorphic $ L$- functions are found.

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Additional Information

O. M. Fomenko
Affiliation: St. Petersburg Branch, Steklov Mathematical Institute, 27 Fontanka, St. Petersburg 191023, Russia

Keywords: Symmetric square $L$-function, fractional moment, convexity
Received by editor(s): March 20, 2009
Published electronically: February 8, 2011
Additional Notes: The author was partly supported by RFBR (project no. 08-01-00233)
Article copyright: © Copyright 2011 American Mathematical Society