%0 Journal Article
%T Second order average estimates on local data of cusp forms
%A Farrell Brumley
%J Mathematics
%D 2005
%I arXiv
%X We specify sufficient conditions for the square modulus of the local parameters of a family of GL(n) cusp forms to be bounded on average. These conditions are global in nature and are at present satisfied for n less than or equal to 4. As an application, we show that Rankin-Selberg L-functions on GL(m) x GL(n), when m and n are less than or equal to 4, satisfy the standard convexity bound.
%U http://arxiv.org/abs/math/0510089v1