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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 555=27, 2023.

Original scientific paper

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

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

Full text: english pdf 530 Kb

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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.

Keywords

Artin-Schreier extension; Bell numbers; Erdŏs's problem on factorials modulo p; Kurepa's conjecture

Hrčak ID:

307489

URI

https://hrcak.srce.hr/307489

Publication date:

25.8.2023.

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