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- W2816207108 abstract "Let $b$ be a numeration base. A $b$-Niven number is one that is divisible by the sum of its base $b$ digits. We introduce high degree $b$-Niven numbers. These are $b$-Niven numbers that have a power greater than $1$ that is $b$-Niven number. Our main result shows that for each degree there exists an infinite set of bases $b$ for which $b$-Niven numbers of that degree exist. The high degree $b$-Niven numbers are given by explicit formulas and have all digits different from zero." @default.
- W2816207108 created "2018-07-19" @default.
- W2816207108 creator A5007419318 @default.
- W2816207108 date "2018-07-06" @default.
- W2816207108 modified "2023-10-17" @default.
- W2816207108 title "High degree $b$-Niven numbers" @default.
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