J. Schleischitz

activity

20132026

most citedOn the spectrum of Diophantine approximation constants

29 citations · 100 across the 39 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.NT2020★ 2 cited

Going-up theorems for simultaneous Diophantine approximation

Johannes Schleischitz

We establish several new inequalities linking classical exponents of Diophantine approximation associated to a real vector $ξ = (ξ, ξ^{2}, \dots, ξ^{N})$ , in various dimensio…

math.NT2020

On simultaneous rational approximation to a $p$ -adic number and its integral powers, II

Dzmitry Badziahin, Yann Bugeaud, Johannes Schleischitz

Let $p$ be a prime number. For a positive integer $n$ and a real number $ξ$ , let $λ_{n} (ξ)$ denote the supremum of the real numbers $λ$ for which there are infinitely many integer t…

math.NT2020

Metric results on sumsets and Cartesian products of classes of Diophantine sets

Johannes Schleischitz

Erdős proved that any real number can be written as a sum, and a product, of two Liouville numbers. Motivated by these results, we study sumsets of classes of real numbers with pre…

Going-up theorems for simultaneous Diophantine approximation

On simultaneous rational approximation to a p-adic number and its integral powers, II

Metric results on sumsets and Cartesian products of classes of Diophantine sets

On simultaneous rational approximation to a $p$ -adic number and its integral powers, II