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On the number of
pairs of positive integers x1,x2
≤ H
such that x1x2 is
a k-th power
Doychin I. Tolev |
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Vol. 249 (2011), No. 2, 495–507
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Abstract |
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We find an asymptotic formula for the number of pairs of positive integers x1,x2 ≤ H such that the product x1x2 is a k-th power. |
Keywords
counting solutions of Diophantine equations
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Mathematical Subject Classification 2000
Primary: 11D45
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Milestones
Received: 17 September 2009
Accepted: 4 January 2010
Published: 1 February 2011
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Authors |
| Doychin I. Tolev | |
| Faculty of Mathematics and
Informatics Sofia University “St. Kl. Ohridsky” 5 J.Bourchier 1164 Sofia Bulgaria |
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| http://www.tolev.org/ | |
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