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math.NT2025
Upper bounds on class numbers of real quadratic fields
Riccardo Bernardini
We prove that, for any , the number of real quadratic fields of discriminant 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…