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On the structure of solutions graph of the Markoff-Hurwitz equation and recurrence sequences

Published 23 Sep 2025 in math.NT | (2509.19289v1)

Abstract: We prove that almost all solutions of the Markoff-Hurwitz equation over a residue field modulo $p$ can be obtained from one another by a chain of natural transformations. We also study recurrence sequences considered modulo prime $p$.

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