On simultaneous approximation to a real number, its square, and its cube, II
Number Theory
2025-04-29 v1
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 -linearly independent real numbers in geometric progression. Here, we explain why this upper bound is not optimal.
Keywords
Cite
@article{arxiv.2407.03226,
title = {On simultaneous approximation to a real number, its square, and its cube, II},
author = {Damien Roy},
journal= {arXiv preprint arXiv:2407.03226},
year = {2025}
}
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24 pages