Bell numbers and Kurepa’s conjecture

Luis Gallardo

Abstract


We prove under a mild condition that Kurepa's conjecture holds for the set of prime numbers \(p\) such that \((\frac{p-1}{2})! = {2 \overwithdelims () p\;}\) in \(\mathbb{F}_p\).

Keywords


Artin–Schreier extension; Bell numbers; Kurepa conjecture

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References


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DOI: http://dx.doi.org/10.17951/a.2022.76.1.17-23
Date of publication: 2022-10-05 20:39:31
Date of submission: 2022-10-04 18:57:13


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