Mock Modular Forms and Class Number Relations

Published 22 May 2013 in math.NT | (1305.5122v3)

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

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