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Class number of real quadratic fields of explicit discriminant

Number Theory 2024-12-10 v1

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)>1h(D)>1, with possibly a finite number of exceptions.

Keywords

Cite

@article{arxiv.2412.06351,
  title  = {Class number of real quadratic fields of explicit discriminant},
  author = {Riccardo Bernardini},
  journal= {arXiv preprint arXiv:2412.06351},
  year   = {2024}
}

Comments

21 pages