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- W4302764114 abstract "Given an integer $mu$, we study the numbers that satisfy the condition $frac{mu}{n} + sum_ {p mid n} frac {1} {p} in mathbb{N}$. This condition, which is reminiscent of the one satisfied by Giuga numbers ($mu=-1$), also includes the so-called cite{sondow} weak primary pseudoperfect numbers ($mu=1$). As a tribute to our late colleague Jonathan Sondow (1943 -- 2020), we have named these numbers $ mu $-Sondow numbers. In this paper, we give several different characterizations of these numbers, all of them suggested by well-known characterizations of the Giuga numbers. We also relate these numbers to the well-known Erdos-Moser equation and we present some conjectures about them." @default.
- W4302764114 created "2022-10-07" @default.
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- W4302764114 date "2021-11-28" @default.
- W4302764114 modified "2023-09-23" @default.
- W4302764114 title "On $mu$-Sondow Numbers" @default.
- W4302764114 doi "https://doi.org/10.48550/arxiv.2111.14211" @default.
- W4302764114 hasPublicationYear "2021" @default.
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