Rad HAZU, Matematičke znanosti, Vol. 27 (2023), 111-121.

ARTIN-SCHREIER, ERDŐS, AND KUREPA'S CONJECTURE

Luis H. Gallardo

Univ. Brest, UMR CNRS 6205, Laboratoire de Mathématiques de Bretagne Atlantique, F-29238 Brest, France
e-mail: Luis.Gallardo@univ-brest.fr

Abstract.   We discuss possible generalizations of Erdŏs's problem about factorials in Fp to the Artin-Schreier extension Fpp of Fp. The generalizations are related to Bell numbers in Fp and to Kurepa's conjecture.

2020 Mathematics Subject Classification.   11T55, 11T06, 11B73, 11B65, 05A10, 12E20, 11A07, 11A25.

Key words and phrases.   Artin-Schreier extension, Bell numbers, Erdŏs's problem on factorials modulo p, Kurepa's conjecture.

Full text (PDF) (free access)

DOI: https://doi.org/10.21857/9e31lh6ovm

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