Hurwitz class number
From HandWiki
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.
References
- 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
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