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Extremality Properties of Some Diophantine Series

Extremality Properties of Some Diophantine Series

Abstract We study the convergence properties of the series Ψ s (α) := with respect to the values of the real numbers α and s, where ||x|| is the distance of x to . For example, when s ∊ (0, 1], the convergence of Ψ s (α) strongly depends on …