29 citations · 100 across the 39 of their papers we have counts for
4 papers · 1 filter
Generalizations of a result of Jarnik on simultaneous approximation
Johannes Schleischitz
Consider a non-increasing function from the positive reals to the positive reals with decay as tends to infinity. Jarnik proved in 1930 that there exist real numbe…
On the spectrum of Diophantine approximation constants
Johannes Schleischitz
The approximation constant is defined as the supremum of real such that for has infinitely many integer solutions .…
On Approximation constants for Liouville numbers
Johannes Schleischitz
We investigate some Diophantine approximation constants related to the simultaneous approximation of for Liouville numbers . For a certain class of Liou…
On the rate of accumulation of mod 1 to 0
Johannes Schleischitz
In this paper we study the distribution of the sequence mod , where are fixed positive real numbers, with special focus on the accumulation point .…