English

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

Number Theory 2020-05-07 v2 Group Theory

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

Cite

@article{arxiv.1911.05411,
  title  = {Menon-type identities again: A note on a paper by Li, Kim and Qiao},
  author = {Pentti Haukkanen and László Tóth},
  journal= {arXiv preprint arXiv:1911.05411},
  year   = {2020}
}

Comments

14 pages