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Remarks about the digits of integers

Published online by Cambridge University Press:  09 April 2009

Ralph Alexander
Ralph Alexander
Affiliation:
University of Illinois61801
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Let n1 < n2 < … be the sequence of positive integers whose base b representations involve the digit t ≦ b —1 at most d—1 times. B. D. Craven [2] shows that Σi1/ni converges by giving an upper bound for this sum as a function of b and d.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 12 , Issue 2 , May 1971 , pp. 239 - 241
Copyright
Copyright © Australian Mathematical Society 1971

References

[1]Alexander, R., ‘Density and digits of sequences of integers’, Michigan Math, J. 16 (1969), 85–92.CrossRefGoogle Scholar
[2]Craven, B. D., ‘On digital distribution in some integer sequences’, J. Australian Math. Soc. 5 (1965), 325–330.CrossRefGoogle Scholar