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Congruences between Markov numbers

Volume 217 / 2025

Xiangfei Li Acta Arithmetica 217 (2025), 95-98 MSC: Primary 11A07; Secondary 11D45 DOI: 10.4064/aa240421-27-7 Published online: 25 November 2024

Abstract

We obtain congruences between Markov numbers modulo prime powers in terms of the simple continued fractions of the slopes of the Markov numbers.

Authors

Xiangfei LiSchool of Mathematical Sciences
Soochow University
Suzhou 215006, China
e-mail

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