On uniform Diophantine exponents of lattices

O. N. German<sup>ab

a</sup> Faculty of Computer Science, National Research University Higher School of Economics, Moscow, Russia
^b Moscow Center of Fundamental and Applied Mathematics, Moscow, Russia

Abstract: We study the spectrum of values of weak uniform Diophantine exponents of lattices and give a full description in the two-dimensional case.

Keywords: lattices, Diophantine exponents, continued fractions.

MSC: 11H46

Received: 15.01.2025 and 26.05.2025

DOI: 10.4213/sm10262