On the spectrum of Diophantine exponents of lattices
Oleg N. German
TL;DR
This paper characterizes the range of possible values for weak uniform Diophantine exponents across lattices in any dimension, advancing understanding of their distribution and properties.
Contribution
It provides a comprehensive description of the spectrum of Diophantine exponents for lattices in arbitrary dimensions, a previously unexplored area.
Findings
Complete characterization of the spectrum of exponents
Extension to arbitrary dimensions
New insights into lattice Diophantine approximation
Abstract
In this paper we describe the spectrum of values of weak uniform Diophantine exponents of lattices in arbitrary dimension.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Mathematical Dynamics and Fractals · Analytic Number Theory Research