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Generalizations of Menon's arithmetic identity
Melvyn B. Nathanson · 2021-11-09 · via math.CO updates on arXiv.org

Menon's identity is $\sum_{a \in A}^m (a-1,m) = d(m) \varphi(m)$, where $A$ is a reduced set of residues modulo $m$. This paper contains elementary proofs of some generalizations of this result.

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