Congruences via umbral calculus

Abdelkader Benyattou
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 28, 2022, Number 4, Pages 719–729
DOI: 10.7546/nntdm.2022.28.4.719-729
Full paper (PDF, 193 Kb)

Details

Authors and affiliations

Abdelkader Benyattou
Department of Mathematics and Informatics, Ziane Achour University of Djelfa, Algeria
RECITS Laboratory, P.O.Box 32, El Alia 16111, Algiers, Algeria

Abstract

In this paper, we use the properties of the classical umbral calculus to give some congruences related to the Bell numbers and Bell polynomials. We also present a new congruence involving Appell polynomials with integer coefficients.

Keywords

• Bell polynomials
• Appell polynomials
• Congruences
• Umbral calculus

2020 Mathematics Subject Classification

• 11B83
• 11B73
• 11A07
• 05A40

References

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Manuscript history

• Received: 16 February 2022
• Revised: 2 November 2022
• Accepted: 5 November 2022
• Online First: 7 November 2022