Backward Touchard congruence

DOI10.36045/j.bbms.210412azbMath1498.11014arXiv2110.06129OpenAlexW3205816533MaRDI QIDQ2139120

Grzegorz Serafin

Publication date: 17 May 2022

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.06129

zbMATH Keywords

periodicity\(r\)-Bell numbersTouchard's congruencederangement numbers

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Polynomials in number theory (11C08) Congruences; primitive roots; residue systems (11A07) Sequences (mod (m)) (11B50)

Cites Work

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• Divisibility properties of the \(r\)-Bell numbers and polynomials
• The largest singletons of set partitions
• The \(r\)-Stirling numbers
• On some congruences for the Bell numbers and for the Stirling numbers
• New modular properties of Bell numbers
• Congruences on the Bell polynomials and the derangement polynomials
• Identities behind some congruences for \(r\)-Bell and derangement polynomials
• Some congruences concerning the Bell numbers
• ON A CURIOUS PROPERTY OF BELL NUMBERS
• The $r$-Bell numbers
• ABOUT THE PERIOD OF BELL NUMBERS MODULO A PRIME
• The period of the Bell numbers modulo a prime
• Minimum Periods, Modulo p, of First-Order Bell Exponential Integers
• Arithmetic properties of Bell numbers to a composite modulus I
• Curious congruences related to the Bell polynomials
• Aurifeuillian factorizations and the period of the Bell numbers modulo a prime
• A new extension of the Sun-Zagier result involving Bell numbers and derangement numbers

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