29 citations · 100 across the 39 of their papers we have counts for
6 papers · 1 filter
On uniform approximation to successive powers of a real number
Johannes Schleischitz
We establish new inequalities involving classical exponents of Diophantine approximation. This allows for improving on the work of Davenport, Schmidt and Laurent concerning the max…
Cubic approximation to Sturmian continued fractions
Johannes Schleischitz
We determine the classical approximation constants such as the uniform constants …
Approximation to an extremal number, its square and its cube
Johannes Schleischitz
We study rational approximation properties for successive powers of extremal numbers defined by Roy. For , the classic approximation constants $λ_{n}(ζ),\hatλ_{n}(ζ)…
Rational approximation to surfaces defined by polynomials in one variable
Johannes Schleischitz
We study the rational approximation properties of special manifolds defined by a set of polynomials with rational coefficients. Mostly we will assume the case of all polynomials to…
Rational approximation to algebraic varieties and a new exponent of simultaneous approximation
Johannes Schleischitz
This paper deals with two main topics related to Diophantine approximation. Firstly, we show that if a point on an algebraic variety is approximable by rational vectors to a suffic…
Some notes on the regular graph defined by Schmidt and Summerer and uniform approximation
Johannes Schleischitz
Within the study of parametric geometry of numbers W. Schmidt and L. Summerer introduced so-called regular graphs. Roughly speaking the successive minima functions for the classica…