Averages of central L-values of Hilbert modular forms with an application to subconvexity
Number Theory
2019-12-19 v2
Abstract
We use the relative trace formula to obtain exact formulas for central values of certain twisted quadratic base change L-functions averaged over Hilbert modular forms of a fixed weight and level. We apply these formulas to the subconvexity problem for these L-functions. We also establish an equidistribution result for the Hecke eigenvalues weighted by these L-values.
Keywords
Cite
@article{arxiv.0810.4726,
title = {Averages of central L-values of Hilbert modular forms with an application to subconvexity},
author = {Brooke Feigon and David Whitehouse},
journal= {arXiv preprint arXiv:0810.4726},
year = {2019}
}
Comments
57 pages, minor changes made to version 1. The final version of this article will be published in the Duke Mathematical Journal, Vol. 149, No. 2, published by Duke University Press