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THE DISTRIBUTION OF INTEGERS WITH AT LEAST TWO DIVISORS IN A SHORT INTERVAL

THE DISTRIBUTION OF INTEGERS WITH AT LEAST TWO DIVISORS IN A SHORT INTERVAL AbstractWe estimate the density of integers which have more than one divisor in an interval (y, z] with z y y/(log y)log 4 1. As a consequence, we determine the precise range of z such that most integers which have at least one divisor in (y, z] have exactly one such divisor. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Quarterly Journal of Mathematics Oxford University Press

THE DISTRIBUTION OF INTEGERS WITH AT LEAST TWO DIVISORS IN A SHORT INTERVAL

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References (8)

Publisher
Oxford University Press
Copyright
© Published by Oxford University Press.
ISSN
0033-5606
eISSN
1464-3847
DOI
10.1093/qmath/ham001
Publisher site
See Article on Publisher Site

Abstract

AbstractWe estimate the density of integers which have more than one divisor in an interval (y, z] with z y y/(log y)log 4 1. As a consequence, we determine the precise range of z such that most integers which have at least one divisor in (y, z] have exactly one such divisor.

Journal

The Quarterly Journal of Mathematics – Oxford University Press

Published: Jun 13, 2007

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