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Liftings and mean value theorems for automorphic L-functions
Published online by Cambridge University Press: 25 February 2005
Abstract
A general mean value theorem for Dirichlet series, with a sharp error estimate near the boundary of the critical strip, is proved. Applications of this theorem to various automorphic $L$-functions are discussed. Moreover, sharp upper bounds of mean square values of $L$-functions are obtained when they are attached to lifted forms, such as Doi–Naganuma and Ikeda lifts in the theory of Siegel modular forms.
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- 2005 London Mathematical Society
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