On a Theorem of Niven
Canadian mathematical bulletin, Tome 22 (1979) no. 1, pp. 113-115
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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).
Rao, R. Sita Rama Chandra; Murty, G. Sri Rama Chandra. On a Theorem of Niven. Canadian mathematical bulletin, Tome 22 (1979) no. 1, pp. 113-115. doi: 10.4153/CMB-1979-018-5
@article{10_4153_CMB_1979_018_5,
author = {Rao, R. Sita Rama Chandra and Murty, G. Sri Rama Chandra},
title = {On a {Theorem} of {Niven}},
journal = {Canadian mathematical bulletin},
pages = {113--115},
year = {1979},
volume = {22},
number = {1},
doi = {10.4153/CMB-1979-018-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-018-5/}
}
TY - JOUR AU - Rao, R. Sita Rama Chandra AU - Murty, G. Sri Rama Chandra TI - On a Theorem of Niven JO - Canadian mathematical bulletin PY - 1979 SP - 113 EP - 115 VL - 22 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-018-5/ DO - 10.4153/CMB-1979-018-5 ID - 10_4153_CMB_1979_018_5 ER -
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