English

Some congruences of calibers of real quadratic fields

Number Theory 2024-03-15 v1

Abstract

In this paper, the congruence equations for caliber and m-caliber in various discriminants are proven. Additionally, We also obtained the lengths of the periods of several continued fractions as corollaries.

Keywords

Cite

@article{arxiv.2403.09202,
  title  = {Some congruences of calibers of real quadratic fields},
  author = {Naoto Fujisawa},
  journal= {arXiv preprint arXiv:2403.09202},
  year   = {2024}
}