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On the monotonicity of the generalized Markov numbers

Published 25 Apr 2022 in math.NT and math.CO | (2204.11443v2)

Abstract: Using the Markov distance and Ptolemy inequality introduced by Lee-Li-Rabideau-Schiffler \cite{LLRS}, we completely determine the monotonicity of the generalized Markov numbers along the lines of a given slope.

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