Exact averages of central values of triple product L-functions
Number Theory
2010-05-06 v1
Abstract
We obtain exact formulas for central values of triple product L-functions averaged over newforms of weight 2 and prime level. We apply these formulas to non-vanishing problems. This paper uses a period formula for the triple product L-function proved by Gross and Kudla.
Cite
@article{arxiv.1005.0646,
title = {Exact averages of central values of triple product L-functions},
author = {Brooke Feigon and David Whitehouse},
journal= {arXiv preprint arXiv:1005.0646},
year = {2010}
}
Comments
To appear in the International Journal of Number Theory