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An elementary proof of uniqueness of Markoff numbers which are prime powers

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arxiv math/0606283 v2 pith:RLCXICIT submitted 2006-06-12 math.NT

Ying Zhang This is my paper · ORCID
classification math.NT
keywords powersprimeelementarymarkoffnumbersproofuniquenessalgebraic
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We present a very elementary proof of the uniqueness of Markoff numbers which are prime powers or twice prime powers, in the sense that it uses neither algebraic number theory nor hyperbolic geometry.

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  1. Cluster algebraic interpretation of generalized Markov numbers and their matrixizations

    math.CO 2025-07 conditional novelty 7.0 of 10

    Two new families of cluster Cohn and Markov-monodromy matrices for generalized Markov cluster algebras are introduced, fully classified, and made explicit via weighted fence posets whose order ideals expand cluster variables.

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