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Menon-type identities concerning additive characters

Published 28 Aug 2018 in math.NT | (1808.09303v2)

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

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