ARITHMETIC PROPERTIES OF CLASS NUMBERS OF IMAGINARY QUADRATIC FIELDS
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.
divisors of class numbers, Cohen-Lenstra heuristics, Erd?ac theorem.
