29 citations · 100 across the 39 of their papers we have counts for
5 papers · 1 filter
On uniform approximation to real numbers
Yann Bugeaud, Johannes Schleischitz
Let be an integer and a transcendental real number. We establish several new relations between the values at of the exponents of Diophantine approximation $w_n, w…
Diophantine approximation on polynomial curves
Johannes Schleischitz
In a paper from 2010, Budarina, Dickinson and Levesley studied the rational approximation properties of curves parametrized by polynomials with integral coefficients in Euclidean s…
On a -module connected to approximation theory
Johannes Schleischitz
This paper deals with the set of such that tends to for a fixed , which we call . Predominately the case of…
Integral powers of numbers in small intervals modulo : The cardinality gap phenomenon
Johannes Schleischitz
This paper deals with the distribution of , where are fixed real numbers and runs through the positive integers. Denote by the dista…
On a problem posed by Mahler
Diego Marques, Johannes Schleischitz
E. Maillet proved that the set of Liouville numbers is preserved under rational functions with rational coefficients. Based on this result, a problem posed by Kurt Mahler is to inv…