Hilbert Modular Forms and the Ramanujan Conjecture
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
This paper completes the proof of the Ramanujan Conjecture for holomorphic Hilbert modular forms whose weights are all congruent modulo 2. As a consequence, the Weight-Monodromy Conjecture and the zeta function conjecture of Langlands are verified for all Quaternionic Shimura varieties.
Cite
@article{arxiv.math/0511007,
title = {Hilbert Modular Forms and the Ramanujan Conjecture},
author = {Don Blasius},
journal= {arXiv preprint arXiv:math/0511007},
year = {2007}
}
Comments
28 pages