Mathematische Zeitschrift

, Volume 253, Issue 3, pp 607–622 | Cite as

On the mean square of standard L-functions attached to Ikeda lifts



By using estimates on the frequency of large values of the Riemann zeta-function and modular L-functions attached to the full modular group SL(2, ℤ), we prove sharp upper and lower estimates of the mean square of standard L-functions attached to Siegel cusp forms which are Ikeda lifts, on boundaries and the central line of the critical strip. The mean square of spinor L-functions attached to Saito-Kurokawa lifts is also studied.


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© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  1. 1.Graduate School of MathematicsNagoya UniversityNagoyaJapan
  2. 2.School of MathematicsTata Institute of Fundamental ResearchMumbaiIndia

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