WEIGHTED AVERAGES OF MODULAR L-VALUES
Publication in refereed journal


Full Text

Times Cited
Web of Science4WOS source URL (as at 19/10/2020) Click here for the latest count

Other information
AbstractUsing an explicit relative trace formula on GL(2), we derive a formula for averages of modular L-values in the critical strip, weighting by Fourier coefficients, Hecke eigenvalues, and Petersson norms. As an application we show that a GRH holds for these averages as the weight or the level goes to infinity. We also use the formula to give explicit zero-free regions of the form vertical bar Im(s)vertical bar <= tau(0) for some particular modular L-functions.
All Author(s) ListKnightly A, Li C
Journal nameTransactions of the American Mathematical Society
Year2010
Month3
Day1
Volume Number362
Issue Number3
PublisherAmerican Mathematical Society
Pages1423 - 1443
ISSN0002-9947
eISSN1088-6850
LanguagesEnglish-United Kingdom
Web of Science Subject CategoriesMathematics; MATHEMATICS

Last updated on 2020-20-10 at 00:40