Preuve simplifi\'ee du th\'eor\`eme de Serret sur les nombres \'equivalents
Number Theory
2017-06-20 v1
Abstract
If the continued fractions of two irrational numbers have a common complete quotient, then these two numbers are in the same orbit under the action of . The converse is Serret's well-known theorem, but we give a simpler and purely algebraic proof of it.
Cite
@article{arxiv.1706.06082,
title = {Preuve simplifi\'ee du th\'eor\`eme de Serret sur les nombres \'equivalents},
author = {Anne Bauval},
journal= {arXiv preprint arXiv:1706.06082},
year = {2017}
}
Comments
in French