Mock Modular Forms and Class Number Relations

Michael H. Mertens

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arXiv · 1305.5122

Mock Modular Forms and Class Number Relations

Michael H. Mertens

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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.

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Michael H. Mertens. 2013-05-22. Mock Modular Forms and Class Number Relations. https://arxiv.org/abs/1305.5122

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