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A class of harmonically convergent sets

Published online by Cambridge University Press:  09 April 2009

Torleiv Kløve
Torleiv Kløve
Affiliation:
University of Bergen, Bergen, Norway.
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Following Craven (1965) we say that a set M of natural numbers is harmonically convergent if converges, and we call μ(M) the harmonic sum of M. (Craven defined these concepts for sequences rather than sets, but we found it convenient to work with sets.) Throughout this paper, lower case italics denote non-negative integers.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 20 , Issue 3 , November 1975 , pp. 301 - 304
Copyright
Copyright © Australian Mathematical Society 1975

References

Alexander, R. (1971), ‘Remarks about the digits of integers’, J. Austral. Math. Soc. 12, 239–241.Google Scholar
Craven, B. D. (1965), ‘On digital distribution in some integer sequences’, J. Austral. Math. Soc. 5 325–330.Google Scholar
Kløve, T. (1971), ‘Power sums of integers with missing digits’, Math Scand. 28, 247–251.Google Scholar