2 citations · 5 across the 7 of their papers we have counts for
7 papers
Eventually greedy best Egyptian underapproximations of rational numbers via optimal control
Vjekoslav Kovač, Quanyu Tang
We prove that every positive rational number has eventually greedy best Egyptian underapproximations, both when repetitions of the denominators are allowed and when the denominator…
Irrationality of rapidly converging series: a problem of Erdős and Graham
Kevin Barreto, Jiwon Kang, Sang-hyun Kim +2
Answering a question of Erdős and Graham, we show that the double exponential growth condition for a strictly increasing sequence of positi…
Lacunary sequences whose reciprocal sums represent all rational numbers in an interval
Wouter van Doorn, Vjekoslav Kovač
Disproving a conjecture of Bleicher and Erdős, we show that there exists a lacunary sequence of positive integers such that finite sums of reciprocals of its terms attain all ratio…
Polygons of unit area with vertices in sets of infinite planar measure
Vjekoslav Kovač, Bruno Predojević
Paul Erdős and R. Daniel Mauldin asked a series of questions on certain types of polygons of area , the vertices of which can be found in every planar set of infinite Lebesgue m…
On eventually greedy best underapproximations by Egyptian fractions
Vjekoslav Kovač
Erdős and Graham found it conceivable that the best -term Egyptian underapproximation of almost every positive number for sufficiently large gets constructed in a greedy man…
On the set of points represented by harmonic subseries
Vjekoslav Kovač
We help Alice play a certain "convergence game" against Bob and win the prize, which is a constructive solution to a problem by Erdős and Graham, posed in their 1980 book on open q…
Coloring and density theorems for configurations of a given volume
Vjekoslav Kovač
This is a treatise on finite point configurations spanning a fixed volume to be found in a single color-class of an arbitrary finite (measurable) coloring of the Euclidean space $\…