Liftings and Mean Value Theorems for Automorphic L-Functions |
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| Authors: | Matsumoto Kohji |
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| Institution: | Graduate School of Mathematics, Nagoya University Chikusa-ku, Nagoya 464–8602, Japan. E-mail: kohjimat{at}math.nagoya-u.ac.jp |
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| Abstract: | A general mean value theorem for Dirichlet series, with a sharperror estimate near the boundary of the critical strip, is proved.Applications of this theorem to various automorphic L-functionsare discussed. Moreover, sharp upper bounds of mean square valuesof L-functions are obtained when they are attached to liftedforms, such as Doi–Naganuma and Ikeda lifts in the theoryof Siegel modular forms. 2000 Mathematics Subject Classification11F66, 11M41. |
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| Keywords: | mean value automorphic L-function Rankin– Selberg L function Doi– Naganuma lift Ikeda lift |
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