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On a Theorem of Niven
Published online by Cambridge University Press: 20 November 2018
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In [4], Niven proved that the set A of integers for all s ≥ l and all n ≥ 1 has density zero, being the sum of the sth powers of all positive divisors of n. However his argument contains a mistake (see Remark 1). In this paper we give a proof of Niven's result and establish several related results, one of which generalizes a result of Dressier (See Theorem 3 and Remark 2).
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- Copyright © Canadian Mathematical Society 1979