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- W4297710663 abstract "An integer $n$ is said to be textit{arithmetic} if the arithmetic mean of its divisors is an integer. In this paper, using properties of the factorization of values of cyclotomic polynomials, we characterize arithmetic numbers. As an application, in Section 2, we give an interesting characterization of Mersenne numbers." @default.
- W4297710663 created "2022-09-30" @default.
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- W4297710663 date "2012-06-08" @default.
- W4297710663 modified "2023-10-18" @default.
- W4297710663 title "On arithmetic numbers" @default.
- W4297710663 doi "https://doi.org/10.48550/arxiv.1206.1823" @default.
- W4297710663 hasPublicationYear "2012" @default.
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