75 citations · 114 across the 41 of their papers we have counts for
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math.LO2021
Rethinking real numbers as infinite decimals
Martin Klazar
We give a~detailed construction of the complete ordered field of real numbers by means of infinite decimal expansions. We prove that in the canonical encoding of decimals neither a…
math.CO2021
Are the Catalan Numbers a Linear Recurrence Sequence?
Martin Klazar, Richard Horský
We answer the question in the title in the negative by providing four proofs.
math.MG2021
Around Hilbert's theorem: the center of a circle is not constructible by straightedge alone
Martin Klazar
In order to state the theorem in the title formally and to review its rigorous proof, we extend and make more precise the Uspenskiy-Shen-Akopyan-Fedorov model of Euclidean construc…