Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

On triviality of uniform Diophantine exponents of lattices

Oleg N. German

Abstract

In this paper we prove that uniform Diophantine exponents of lattices attain only trivial values.

On triviality of uniform Diophantine exponents of lattices

Abstract

In this paper we prove that uniform Diophantine exponents of lattices attain only trivial values.
Paper Structure (6 sections, 26 equations)

This paper contains 6 sections, 26 equations.

Table of Contents

  1. Introduction
  2. Diophantine exponents of lattices
  3. Davenport's lemma and the proof of Theorem \ref{['t:triviality_of_the_uniform_lattice_exponent']}
  4. Concerning the "weak" version of uniform lattice exponents and multiplicative Diophantine exponents
  5. Weak uniform Diophantine exponents
  6. Multiplicative Diophantine exponents

Theorems & Definitions (1)

  • proof : Proof of Theorem \ref{['t:triviality_of_the_uniform_lattice_exponent']}