A hybrid asymptotic formula for the second moment of Rankin-Selberg L-functions

Details A hybrid asymptotic formula for the second moment of Rankin-Selberg L-functions A hybrid asymptotic formula for the second moment of Rankin-Selberg L-functions

2010-11-09

arxiv.org/abs/1011.1961v2

Mathematics

Number Theory

30 pages, LaTeX2e, submitted; v2: revised version incorporating suggestions by the referee

Scientific paper

We consider the Rankin-Selberg L-functions associated with a fixed modular form of full level and holomorphic cuspidal newforms of large even weight, fixed level and fixed primitive nebentypus. We compute the second moment of this family in fairly general ranges, and obtain an asymptotic formula with a power saving error term. A special case treats the fourth moment of L-functions associated with holomorphic cusp forms.

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