Abstract
We obtain estimates of the form |ξα n| > C k for all k ≥ K for the values ξ = 31/3 and α = 2, where K is an effective constant and | · | denotes the distance to the nearest integer.
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Original Russian Text © Yu. A. Pupyrev, 2009, published in Matematicheskie Zametki, 2009, Vol. 86, No. 5, pp. 736–747.
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Pupyrev, Y.A. Rational approximations of the number \( \sqrt[3]{3} \) . Math Notes 86, 693–703 (2009). https://doi.org/10.1134/S0001434609110121
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DOI: https://doi.org/10.1134/S0001434609110121