From the 1 of 6 linked papers with an AI index.
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Eventually greedy best Egyptian underapproximations of rational numbers via optimal control
Vjekoslav KovaÄ, Vjekoslav Kovač, Quanyu Tang
The paper proves that every positive rational number has eventually greedy best Egyptian underapproximations, both with and without repeated denominators, by reformulating the prob…
Irrationality of rapidly converging series: a problem of ErdÅs and Graham
Kevin Barreto, Jiwon Kang, Sang-hyun Kim +2
Answering a question of ErdÅs and Graham, we show that the double exponential growth condition for a strictly increasing sequence of posi…
On eventually greedy best underapproximations by Egyptian fractions
Vjekoslav KovaÄ
ErdÅs and Graham found it conceivable that the best -term Egyptian underapproximation of almost every positive number for sufficiently large gets constructed in a greedy ma…
On the set of points represented by harmonic subseries
Vjekoslav KovaÄ
We help Alice play a certain "convergence game" against Bob and win the prize, which is a constructive solution to a problem by ErdÅs and Graham, posed in their 1980 book on open…