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arXiv:1102.0679 [math.NT]AbstractReferencesReviewsResources

Power-free values of the polynomial t_1...t_r - 1

Pierre Le Boudec

Published 2011-02-03, updated 2011-11-22Version 3

Let k, r > 1 be two integers. We prove an asymptotic formula for the number of k-free values of the r variables polynomial t_1...t_r - 1 over the integral points of [1, x]^r.

Comments: Final version
Journal: Bull. Aust. Math. Soc. 85 (2012), no. 1, 154-163
Categories: math.NT
Subjects: 11N32
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