On the distribution of self-numbers
Author:
U. Zannier
Journal:
Proc. Amer. Math. Soc. 85 (1982), 10-14
MSC:
Primary 10A30
DOI:
https://doi.org/10.1090/S0002-9939-1982-0647887-4
MathSciNet review:
647887
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Abstract: Self-numbers are those integers which cannot be expressed as $a + f(a)$, where $f(a)$ denotes the sum of the digits of $a$ in a given scale. Here I prove that the number of self-numbers less than or equal to a large number $x$ equals $Lx + O({\log ^2}x)$, where $L$ is a strictly positive constant.
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- Kenneth B. Stolarsky, The sum of a digitaddition series, Proc. Amer. Math. Soc. 59 (1976), no. 1, 1–5. MR 409340, DOI https://doi.org/10.1090/S0002-9939-1976-0409340-X
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Article copyright:
© Copyright 1982
American Mathematical Society
