Bell numbers and Kurepa’s conjecture

DOI10.17951/a.2022.76.1.17-23OpenAlexW4312630942WikidataQ123331294 ScholiaQ123331294MaRDI QIDQ5046593

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Publication date: 8 November 2022

Published in: Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17951/a.2022.76.1.17-23

zbMATH Keywords

Bell numbersArtin-Schreier extensionKurepa conjecture

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Polynomials over finite fields (11T06) Finite fields (field-theoretic aspects) (12E20) Congruences; primitive roots; residue systems (11A07) Arithmetic functions; related numbers; inversion formulas (11A25) Arithmetic theory of polynomial rings over finite fields (11T55)

Uses Software

• OEIS

Cites Work

• Bell numbers modulo a prime number, traces and trinomials
• Bell numbers and sum of factorials
• Erratum to the article `Bell numbers and sums of factorials'
• New modular properties of Bell numbers
• A characterization of the Bell numbers
• Improved algorithms for left factorial residues
• The period of the Bell numbers modulo a prime
• Minimum Periods, Modulo p, of First-Order Bell Exponential Integers
• There are no socialist primes less than 10^9
• On distinct residues of factorials
• Searching for a counterexample to Kurepa’s conjecture
• The Arithmetic of Bell and Stirling Numbers
• Numbers Generated by the Function e e x-1
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