Class number of real quadratic fields of explicit discriminant

Riccardo Bernardini

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arXiv · 2412.06351

Class number of real quadratic fields of explicit discriminant

Riccardo Bernardini

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Abstract

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 fraction. In particular we prove that $h(D)>1$, with possibly a finite number of exceptions.

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Riccardo Bernardini. 2024-12-09. Class number of real quadratic fields of explicit discriminant. https://arxiv.org/abs/2412.06351

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