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Rankin-Selberg L-functions on the critical line
Authors:V Blomer
Institution:(1) Mathematisches Institut, Georg-August-Universität Göttingen, Bunsenstr. 3-5, 37073 Göttingen, Germany
Abstract:Let f and g be two primitive (holomorphic or Maass) cusp forms of arbitrary level, character and infinity parameter by which we mean the weight in the holomorphic case and the spectral parameter in the Maass case. Let L(s,f × g) be the associated Rankin-Selberg L-function.If g is fixed and the infinity parameter mgrf of f varies, then for s on the critical line, the subconvex estimate MediaObjects/s00229-005-0557-2flb1.gif is any admissible value for the Ramanujan-Petersson-conjecture.
Keywords:11F66  11F12  11M41
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