Mock Modular Forms and Class Number Relations

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.

Some minor changes mainly in sec. 3. 19 pages

References in corpus (2)

• Quantum Black Holes, Wall Crossing, and Mock Modular Forms
• Sums of class numbers and mixed mock modular forms