Autor:	Jackson, Julia, Knightly, Andrew
Rok vydání:	2012
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
DOI:	10.1017/S1446788715000142
Popis:	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. Comment: 25 pages. More references added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1204.2253 Zobrazit plný text záznamu View this record from Arxiv