Hamdy, Safuat; Saidak, Filip Arithmetic properties of class numbers of imaginary quadratic fields. (English) Zbl 1148.11056 JP J. Algebra Number Theory Appl. 6, No. 1, 129-148 (2006). Summary: Under the assumption of the well-known heuristics of Cohen and Lenstra (and the new extensions we propose) we give proofs of several new properties of class numbers of imaginary quadratic number fields, including theorems on smoothness and normality of their divisors. Some applications in cryptography are also discussed. Cited in 1 Document MSC: 11R29 Class numbers, class groups, discriminants 11R11 Quadratic extensions 11R47 Other analytic theory 94A60 Cryptography Keywords:divisors of class numbers; Cohen-Lenstra heuristics; Erdős-Kac theorem PDFBibTeX XMLCite \textit{S. Hamdy} and \textit{F. Saidak}, JP J. Algebra Number Theory Appl. 6, No. 1, 129--148 (2006; Zbl 1148.11056)