Problems concerning Diophantine exponents of lattices

2018/11/29 by Oleg N. German, German, Oleg N.
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1811.11999

openalex publication_date 2018/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we give a survey of what is currently known about Diophantine exponents of lattices and propose several problems.

Citations

• On a Counting Theorem of Skriganov

Related

• Diophantine exponents of lattices
• On uniform Diophantine exponents of lattices
• Exponents of Diophantine approximation
• Exponents of Diophantine approximation
• Linear forms of a given Diophantine type and lattice exponents