2020/96/3-4 (14)
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DOI: 10.5486/PMD.2020.8786
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pp. 487-502
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.
Keywords: Menon's identity, gcd-sum function, arithmetic function of several variables, multiplicative function, lcm function, polynomial with integer coefficients
Mathematics Subject Classification: 11A07, 11A25