A generalization of Menon's identity

Abstract

In this note we give a generalization of the well-known Menon's identity. This is based on applying the Burnside's lemma to a certain group action.

References in corpus (1)

• Menon's identity and arithmetical sums representing functions of several variables

Cited by in corpus (6)

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• Proofs, generalizations and analogs of Menon's identity: a survey
• A new Menon-type identity derived from group actions
• On Menon-Sury's identity with several Dirichlet characters
• Menon-type identities concerning Dirichlet characters
• Counting invertible sums of squares modulo $n$ and a new generalization of Euler totient function