Short proof and generalization of a Menon-type identity by Li, Hu and Kim

TL;DR

This paper provides a straightforward proof and extends a Menon-type identity involving Dirichlet and additive characters, enhancing understanding of these mathematical structures.

Contribution

It introduces a simplified proof and a broader generalization of a Menon-type identity related to Dirichlet and additive characters.

Findings

Simplified proof of Menon-type identity

Generalization involving Dirichlet and additive characters

Enhanced mathematical understanding of character sums

Abstract

We present a simple proof and a generalization of a Menon-type identity by Li, Hu and Kim, involving Dirichlet characters and additive characters.