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On simultaneous approximation to a real number, its square, and its cube, II

Damien Roy Acta Arithmetica MSC: Primary 11J13; Secondary 11J82 DOI: 10.4064/aa240703-5-9 Published online: 17 January 2025

Abstract

In a previous paper with the same title, we gave an upper bound for the exponent of uniform rational approximation to a quadruple of $\mathbb Q$-linearly independent real numbers in geometric progression. Here, we explain why this upper bound is not optimal.

Authors

  • Damien RoyDépartement de mathématiques
    Université d’Ottawa
    Ottawa, Ontario K1N 6N5, Canada
    e-mail

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