arXiv subjects

Barbora Batíková

Publications and source records attributed to Barbora Batíková.

2 recordsLinked to original sources

arXiv2025

One inequality inspired by Erdős

Inspired by the proof of the Bertrand postulate given by P. ErdőS, we carefully examine and solve one less usual inequality in positive integers which could help to find an arithmetically pure proof that for every positive integer $n\ge2$ there is a prime $p$ such that $n<p<2n$.

math.NT↗

arXiv2025

Another inequality inspired by Erdős

In our effort to find an arithmetically pure proof of the Bertrand postulate, we investigate and solve (using only elementary arithmetical methods) another less usual inequality in positive integers inspired by the classical proof of the postulate given by P. Erdős.

math.NT↗