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