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Congruence and Uniqueness of Certain Markoff Numbers

Ying Zhang
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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.

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Ying Zhang. 2006-12-29. Congruence and Uniqueness of Certain Markoff Numbers. https://doi.org/10.4064/aa128-3-7

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