On Diophantine exponents of lattices

Fuente: arXiv
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Main Author: Moshchevitin, Nikolay
Format: Preprint
Published: 2025
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author Moshchevitin, Nikolay
author_facet Moshchevitin, Nikolay
contents We describe the spectrum of ordinary Diophantine exponents for $d$-dimensional lattices. The result reduces the problem to two-dimensional case and uses argument of metric theory.
format Preprint
id arxiv_https___arxiv_org_abs_2512_24913
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On Diophantine exponents of lattices
Moshchevitin, Nikolay
Number Theory
11H16, 11H46, 11J13
We describe the spectrum of ordinary Diophantine exponents for $d$-dimensional lattices. The result reduces the problem to two-dimensional case and uses argument of metric theory.
title On Diophantine exponents of lattices
topic Number Theory
11H16, 11H46, 11J13
url https://arxiv.org/abs/2512.24913