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- W2952537923 abstract "Let $chi$ be a Dirichlet character (mod $n$) with conductor $d$. In a quite recent paper Zhao and Cao deduced the identity $sum_{k=1}^n (k-1,n) chi(k)= varphi(n)tau(n/d)$, which reduces to Menon's identity if $chi$ is the principal character (mod $n$). We generalize the above identity by considering even functions (mod $n$), and offer an alternative approach to proof. We also obtain certain related formulas concerning Ramanujan sums." @default.
- W2952537923 created "2019-06-27" @default.
- W2952537923 creator A5050354606 @default.
- W2952537923 date "2017-06-12" @default.
- W2952537923 modified "2023-09-27" @default.
- W2952537923 title "Menon-type identities concerning Dirichlet characters" @default.
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