St. Petersburg Mathematical Journal

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ISSN 1547-7371(e) ISSN 1061-0022(p)

Mean value theorems for automorphic -functions

Author(s): O. M. Fomenko
Translated by: the author
Original publication: Algebra i Analiz, tom 19 (2007), nomer 5.
Journal: St. Petersburg Math. J. 19 (2008), 853-866.
MSC (2000): Primary 11M41
Posted: June 27, 2008
MathSciNet review: 2381948
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: Let be a holomorphic Hecke eigencuspform of even weight $k\ge 12$ for $\operatorname{SL}(2, \mathbb{Z})$ and let $L(s, \operatorname{sym}^2f)$ be the symmetric square -function of . Let be the summatory function of the coefficients of $L(s,\operatorname{sym}^2 f)$ . The true order is found for

$\displaystyle \int^{x}_{0}C(y)^2\,dy.$

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