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math.NT2018★ 5 cited
Randomness and non-randomness properties of Piatetski-Shapiro sequences modulo m
Jean-Marc Deshouillers, Michael Drmota, Clemens Müllner +1
We study Piatetski-Shapiro sequences modulo m, for non-integer and positive , and we are particularly interested in subword occurrences in those…
math.NT2018
Integral points on convex curves
Jean-Marc Deshouillers, Adrián Ubis
We estimate the maximal number of integral points which can be on a convex arc in the plane with given length, minimal radius of curvature and initial slope.