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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2025 Volume 117, Issue 5, Pages 680–686 (Mi mzm14460)
Around Zaremba's conjecture

I. D. Kan

Moscow Aviation Institute (National Research University)

Abstract: The paper examines various conjectures related to Zaremba's conjecture. A logical relationship between these conjectures is established.

Keywords: Zaremba's conjecture, continued fraction, continuant.

UDC: 511.321+511.31

PACS: 11K60

MSC: 511.36

Received: 03.08.2024
Revised: 17.08.2024

DOI: 10.4213/mzm14460


 English version: Mathematical Notes, 2025, 117:5, 769–774

© Steklov Math. Inst. of RAS, 2025