On the distribution of values of certain divisor functions |
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| Authors: | P. Erdös R.R. Hall |
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| Affiliation: | Mathematical Institute of the Hungarian Academy of Sciences, Budapest, Hungary;Department of Mathematics, University of York, Heslington, York, England |
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| Abstract: | Let {?d} be a sequence of nonnegative numbers and f(n) = Σ?d, the sum being over divisors d of n. We say that f has the distribution function F if for all c ≥ 0, the number of integers n ≤ x for which f(n) > c is asymptotic to xF(c), and we investigate when F exists and when it is continuous. |
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