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On square-full integers in a short interval

Published online by Cambridge University Press:  18 May 2009

P. Shiu
Affiliation:
Department of Mathematics, University of Technology, Loughborough, Leicestershire, England
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A positive integer nis called a square-full integer if p2 divides n whenever p is a prime divisor of n. For x > 1 we denote by Q(x) the number of square-full integers not exceeding x. Bateman and Grosswald [1] proved that

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Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1984