Congruence and Uniqueness of Certain Markoff Numbers
Number Theory
2015-06-26 v2
Abstract
By making use of only simple facts about congruence, we first show that every even Markoff number is congruent to 2 modulo 32, and then, generalizing an earlier result of Baragar, establish the uniqueness for those Markoff numbers c where one of 3c - 2 and 3c + 2 is a prime power, 4 times a prime power, or 8 times a prime power.
Cite
@article{arxiv.math/0612620,
title = {Congruence and Uniqueness of Certain Markoff Numbers},
author = {Ying Zhang},
journal= {arXiv preprint arXiv:math/0612620},
year = {2015}
}
Comments
6 pages. In version 2: typos corrected, sections 3 and 4 combined as the new section 3