Averages of twisted L-functions

Details Averages of twisted L-functions Averages of twisted L-functions

2012-04-10

arxiv.org/abs/1204.2253v1

Mathematics

Number Theory

24 pages

Scientific paper

We use a relative trace formula on GL(2) to compute a sum of twisted modular L-functions anywhere in the critical strip, weighted by a Fourier coefficient and a Hecke eigenvalue. When the weight k or level N is sufficiently large, the sum is nonzero. Specializing to the central point, we show in some cases that the resulting bound for the average is as good as that predicted by the Lindelof hypothesis in the k and N aspects.

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