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A remark on “Uniform O– estimates of certain error functions connected with k-free integers”

Published online by Cambridge University Press:  09 April 2009

D. Suryanarayana
D. Suryanarayana
Affiliation:
Department of Mathematics Andhra University, Waltair, India.
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In this note I follow the same notation adopted in [2]. Let Qk(x, n) denote the number of k-free integers ≦x which are prime to n. In [2], I proved the following: For o≦s>1/k uniformly, where σ*−s(n) is the sum of the reciprocals of the sth powers of the square-free divisor of n.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 15 , Issue 2 , March 1973 , pp. 177 - 178
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Suryanarayana, D., ‘The number and sum of k-free integers ≦x which are prime to n’, Indian J. Math. 11 (1969), 131–139.Google Scholar
[2]Suryanarayana, D., ‘Uniform O-estimates of certain error functions connected with k-free integers’, J. Austr. Math. Soc. 11(2) (1970), 242–250.CrossRefGoogle Scholar