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

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.

14 pages

Cited by in corpus (2)

• Proofs, generalizations and analogs of Menon's identity: a survey
• Menon-type identities concerning subsets of the set $\{1,2,\dots ,n\}$