Perfect powers in solutions to Pell equations
In this paper, we study the appearance of perfect powers in the first component of a non-minimal solution of a Pell equation. We give an upper bound on the counting function of the positive integers n having the property that some power of it (of exponent larger than 1) is the first component of a non-minimal solution of a Pell equation, and we present a Diophantine application.
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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas
2009
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| Online Access: | http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262009000100007 |
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