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arXiv · 2407.03226

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

Damien Roy
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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.

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Damien Roy. 2024-07-03. On simultaneous approximation to a real number, its square, and its cube, II. https://doi.org/10.4064/aa240703-5-9

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