Hilbert modular forms and class numbers
Number Theory
2024-02-01 v1
Abstract
In 1975, Goldfeld gave an effective solution to Gauss's conjecture on the class numbers of imaginary quadratic fields. In this paper, we generalize Goldfeld's theorem to the setting of totally real number fields.
Cite
@article{arxiv.2401.17913,
title = {Hilbert modular forms and class numbers},
author = {Qinyun Tan and Bingyong Xie},
journal= {arXiv preprint arXiv:2401.17913},
year = {2024}
}
Comments
35 pages