In mathematics, the Hurwitz class number H(N), introduced by Adolf Hurwitz, is a modification of the class number of positive definite binary quadratic forms of discriminant –N, where forms are weighted by 2/g for g the order of their automorphism group, and where H(0) =  –1/12.

Zagier (1975) showed that the Hurwitz class numbers are coefficients of a mock modular form of weight 3/2.

• Zagier, Don (1975), "Nombres de classes et formes modulaires de poids 3/2", Comptes Rendus de l'Académie des Sciences, Série A et B, 281 (21): Ai, A883–A886, ISSN  0151-0509, MR  0429750