Mollification of the fourth moment of automorphic L-functions and arithmetic applications

Authors
Kowalski, E Michel, P VanderKam, J
Citation
E. Kowalski et al., Mollification of the fourth moment of automorphic L-functions and arithmetic applications, INVENT MATH, 142(1), 2000, pp. 95-151
Citations number
36
Categorie Soggetti
Mathematics
Journal title
INVENTIONES MATHEMATICAE
ISSN journal
00209910 → ACNP
Volume
142
Issue
1
Year of publication
2000
Pages
95 - 151
Database
ISI
SICI code
0020-9910(200010)142:1<95:MOTFMO>2.0.ZU;2-3
Abstract
We compute the asymptotics of twisted fourth power moments of modular L-fun ctions of large prime level near the critical line. This allows us to prove some new non-vanishing results on the central values of automorphic L-func tions, in particular those obtained by base change from GL(2)(Q) to GL(2)(K ) for K a cyclic field of low degree.