Menon-Type Identities Concerning Subsets of the Set {1, 2,..., n}

DOI10.1556/314.2022.00008zbMATH Open1499.11020arXiv2109.06541OpenAlexW4213377660MaRDI QIDQ5074725

László Tóth

Publication date: 9 May 2022

Published in: Mathematica Pannonica (Search for Journal in Brave)

Abstract: We prove certain Menon-type identities associated with the subsets of the set $1,2,ldots,n$ and related to the functions $f$, $f_k$, $Phi$ and $Ph{i}_k$, defined and investigated by Nathanson (2007).

Full work available at URL: https://arxiv.org/abs/2109.06541

zbMATH Keywords

greatest common divisorEuler's functionMenon's identityrelatively prime set

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Arithmetic functions; related numbers; inversion formulas (11A25) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

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