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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.
math.NT2012★ 1 cited
Multifractal behavior of polynomial Fourier series
Fernando Chamizo, Adrián Ubis
We prove non-trivial upper and lower bounds for the "Spectrum of Singularities" of Fourier Series with polynomial frequencies. The Spectrum of Singularities of a function f gives t…