Mock Modular Forms and Class Number Relations
Number Theory
2020-09-03 v3
Abstract
In this paper, we prove an almost 40 year old conjecture by H. Cohen concerning the generating function of the Hurwitz class number of quadratic forms using the theory of mock modular forms. This conjecture yields an infinite number of so far unproven class number relations.
Cite
@article{arxiv.1305.5122,
title = {Mock Modular Forms and Class Number Relations},
author = {Michael H. Mertens},
journal= {arXiv preprint arXiv:1305.5122},
year = {2020}
}
Comments
Some minor changes mainly in sec. 3. 19 pages