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

Authors

  • Pierre Le Boudec

Keywords:

Power-free values of polynomials, equidistribution in arithmetic progressions, Kloosterman sums

Abstract

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. DOI: 10.1017/S0004972711002590

Published

2011-12-09

Issue

Vol. 85 No. 1 (2012)

Section

Articles
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