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On Fractional Power Moments of Zeta-Functions Associated with Certain Cusp Forms
Authors:A. Laurinčikas  J. Steuding
Affiliation:1. Vilnius University, Naugarduko 24, 2600, Vilnius, Lithuania
2. Department of Mathematics and Informatics, ?iauliai University, Vi?inskio 19, ?iauliai, Lithuania
3. Institut für Mathematik, Universit?t Würzburg Am Hubland, 97074, Würzburg, Germany
Abstract:We prove upper and lower bounds for fractional moments of zeta-functions attached to certain cusp forms on the critical line; the upper bound being conditional subject to the truth of the Riemann hypothesis.
Keywords:Cusp form  Moment  Riemann hypothesis  Zeta-function of cusp form
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