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

Authors :: László Tóth
Pentti Haukkanen
Informaatioteknologian ja viestinnän tiedekunta - Faculty of Information Technology and Communication Sciences
Tampere University
Publication Year :: 2019
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.<br />Comment: 14 pages