Twisted Hilbert modular L-functions and spectral theory
Abstract
These are notes for four lectures given at the 2010 CIMPA Research School "Automorphic Forms and L-functions" in Weihai, China. The lectures focused on a Burgess-like subconvex bound for twisted Hilbert modular L-functions published jointly with Valentin Blomer in the same year. They discussed the proof in some detail, especially how spectral theory can be used to estimate the relevant shifted convolution sums efficiently. They also discussed briefly an application for the number of representations by a totally positive ternary quadratic form over a totally real number field.
Cite
@article{arxiv.1402.1332,
title = {Twisted Hilbert modular L-functions and spectral theory},
author = {Gergely Harcos},
journal= {arXiv preprint arXiv:1402.1332},
year = {2014}
}
Comments
15 pages, LaTeX2e, to appear in the Proceedings of the CIMPA-UNESCO-CHINA Research School (original version submitted in April 2013, this version contains updated references)