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most citedPower-free values of the polynomial t_1...t_r - 1

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math.NT2013

Integral points on quadratic twists and linear growth for certain elliptic fibrations

Pierre Le Boudec

We prove that the number of rational points of bounded height on certain del Pezzo surfaces of degree 1 defined over Q grows linearly, as predicted by Manin's conjecture. Along the…