The sum of a digitaddition series

Author:
Kenneth B. Stolarsky

Journal:
Proc. Amer. Math. Soc. **59** (1976), 1-5

MSC:
Primary 10A30

DOI:
https://doi.org/10.1090/S0002-9939-1976-0409340-X

MathSciNet review:
0409340

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be the number of ones in the binary expansion of . A ``digitaddition series'' is a sequence , where is a given positive integer and . Various questions involving the are studied; in particular, the asymptotic result is proved.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1976-0409340-X

Keywords:
Binary expansion,
digitaddition series,
self-number

Article copyright:
© Copyright 1976
American Mathematical Society