On a Theorem of Niven
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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).
1977 ◽
Vol s2-15
(1)
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pp. 29-34
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1977 ◽
Vol s2-15
(3)
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pp. 403-405
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2014 ◽
Vol 10
(04)
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pp. 915-933
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2004 ◽
Vol 77
(2)
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pp. 149-164
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2005 ◽
Vol 20
(4)
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pp. 813-826