Subconvexity bounds in depth-aspect for automorphic L-functions on GL(2)
Number Theory
2009-04-08 v1
Abstract
From a spectral identity we obtain asymptotics with error term for the second integral moments of families of automorphic L-functions for GL(2) over an arbitrary number field according to twists by idele characters with arbitrary ramification at a fixed finite place. The power-saving in the error term breaks convexity at this non-archimedean place.
Cite
@article{arxiv.0904.1028,
title = {Subconvexity bounds in depth-aspect for automorphic L-functions on GL(2)},
author = {Delia Letang},
journal= {arXiv preprint arXiv:0904.1028},
year = {2009}
}
Comments
49 pages