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

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

2011-02-03

arxiv.org/abs/1102.0679v3

Bull. Aust. Math. Soc. 85 (2012), no. 1, 154-163

Mathematics

Number Theory

Final version

Scientific paper

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.

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