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arXiv · 2406.19118

Construction of subspaces with known Diophantine exponents for the last angle

Gaétan Guillot
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Abstract

Schmidt generalized in 1967 the theory of classical Diophantine approximation to subspaces of $\R^n$. We consider Diophantine exponents for linear subspaces of $\R^n$ which generalize the irrationality measure for real numbers. Using geometry of numbers, we construct subspaces of $\R^n$ for which we are able to compute the associated exponents for the last angle.

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Gaétan Guillot. 2024-06-27. Construction of subspaces with known Diophantine exponents for the last angle. https://arxiv.org/abs/2406.19118

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