Esther Banaian

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20222026

most citedA Generalization of Markov Numbers

1 citations · 1 across the 3 of their papers we have counts for

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math.NT2026

Orderings of Generalized k-Markov Numbers

Esther Banaian, Min Huang

A $k$ -Markov number is a positive integer that appears in a positive integral solution to the Diophantine equation $x^{2} + y^{2} + z^{2} + k (x y + x z + y z) = (3 + 3 k) x y z$ . This equation wa…

math.NT2025

Orderings of k-Markov Numbers

Esther Banaian

The $k$ -Markov numbers, introduced by Gyoda and Matsushita, are those which appear in positive integral solutions to $x^{2} + y^{2} + z^{2} + k (x y + x z + y z) = (3 + 3 k) x y z$ . When $k = 0$ , t…