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On Diophantine exponents of lattices

Number Theory 2026-01-01 v1

Abstract

We describe the spectrum of ordinary Diophantine exponents for dd-dimensional lattices. The result reduces the problem to two-dimensional case and uses argument of metric theory.

Keywords

Cite

@article{arxiv.2512.24913,
  title  = {On Diophantine exponents of lattices},
  author = {Nikolay Moshchevitin},
  journal= {arXiv preprint arXiv:2512.24913},
  year   = {2026}
}

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15 pages