Publikace na Matematicko-fyzikální fakulta |
2018
Abstrakt
We construct a random model to study the distribution of class numbers in special families of real quadratic fields Q(root d) arising from continued fractions. These families are obtained by considering continued fraction expansions of the form root D (n) = [f (n), ] with fixed coefficients u(1), ..., u(s-1) and generalize well-known families such as Chowla's 4n(2) + 1, for which analogous results were recently proved by Dahl and Lamzouri ['The distribution of class numbers in a special family of real quadratic fields', Trans.
Amer. Math.
Soc. (2018), 6331-6356].