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 2017Show all

4 papers · 1 filter

math.NT2017

Uniform Diophantine approximation and best approximation polynomials

Johannes Schleischitz

Let $ζ$ be a real transcendental number. We introduce a new method to find upper bounds for the classical exponent $w_{n} (ζ)$ concerning uniform polynomial approximation.…

math.NT2017

An equivalence principle between polynomial and simultaneous Diophantine approximation

Johannes Schleischitz

We show that Mahler's classification of real numbers $ζ$ with respect to the growth of the sequence $(w_{n} (ζ))_{n \geq 1}$ is equivalently induced by certain natural assumptions on…

math.NT2017

Diophantine approximation in prescribed degree

Johannes Schleischitz

We investigate approximation to a given real number by algebraic numbers and algebraic integers of prescribed degree. We deal with both best and uniform approximation, and highligh…

math.NT2017

On the discrepancy between best and uniform approximation

Johannes Schleischitz

For $ζ$ a transcendental real number, we consider the classical Diophantine exponents $w_{n} (ζ)$ and $w_{n} (ζ)$ . They measure how small $∣ P (ζ) ∣$ can be for an integer po…