Riccardo Bernardini

collaborators

2 papers

math.NT2025

Upper bounds on class numbers of real quadratic fields

Riccardo Bernardini

We prove that, for any $ε > 0$ , the number of real quadratic fields $Q (d)$ of discriminant $d < x$ whose class number is $\ll \sqrt{d}(\log{d})^{-2}(\log\log{…

math.NT2024

Class number of real quadratic fields of explicit discriminant

Riccardo Bernardini

In this paper we are interested in the class numbers of a family of real quadratic fields for which the square roots of the discriminants have a known expansion in continued fracti…