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arXiv · 1911.05411

Menon-type identities again: A note on a paper by Li, Kim and Qiao

Pentti Haukkanen·László Tóth
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Abstract

We give common generalizations of the Menon-type identities by Sivaramakrishnan (1969) and Li, Kim, Qiao (2019). Our general identities involve arithmetic functions of several variables, and also contain, as special cases, identities for gcd-sum type functions. We point out a new Menon-type identity concerning the lcm function. We present a simple character free approach for the proof.

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Pentti Haukkanen, László Tóth. 2019-11-13. Menon-type identities again: A note on a paper by Li, Kim and Qiao. https://doi.org/10.5486/pmd.2020.8786

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