Geodesic
On the Distribution of the Sequence {nd*(n)}
Canadian mathematical bulletin, Tome 32 (1989) no. 1, pp. 105-108

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Let d*(n) denote the number of unitary divisors of the positive integer n. For x > 1, let B(x) denote the number of integers n for which nd*(n) ≦ x. Balasubramanian and Ramachandra proved that there exists a positive constant β such that . In this note we give an explicit expression for β as an infinite product, namely where the product is over all primes p.
DOI : 10.4153/CMB-1989-015-8
Mots-clés : 10A30 
Abbott, H. L.; Subbarao, M. V. On the Distribution of the Sequence {nd*(n)}. Canadian mathematical bulletin, Tome 32 (1989) no. 1, pp. 105-108. doi: 10.4153/CMB-1989-015-8
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     title = {On the {Distribution} of the {Sequence} {nd*(n)}},
     journal = {Canadian mathematical bulletin},
     pages = {105--108},
     year = {1989},
     volume = {32},
     number = {1},
     doi = {10.4153/CMB-1989-015-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-015-8/}
}
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