Menon-type identities concerning additive characters

Abstract

By considering even functions (mod $n$) we generalize a Menon-type identity by Li and Kim involving additive characters of the group ${\mathbb{Z}}_n$. We use a different approach, based on certain convolutional identities. Some other applications, including related formulas for Ramanujan sums, are discussed, as well.

11 pages

References in corpus (1)

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

Cited by in corpus (1)

• Proofs, generalizations and analogs of Menon's identity: a survey