ON A CURIOUS PROPERTY OF BELL NUMBERS

DOI10.1017/S0004972711002218zbMath1257.11024arXiv1008.1573OpenAlexW2056371848MaRDI QIDQ3021167

Zhi-Wei Sun, Don Zagier

Publication date: 22 July 2011

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.1573

zbMATH Keywords

Bell numbersderangement numberscongruences modulo a prime

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) Bell and Stirling numbers (11B73) Congruences; primitive roots; residue systems (11A07)

Related Items (8)

Backward Touchard congruence ⋮ Congruences on the Bell polynomials and the derangement polynomials ⋮ Identities behind some congruences for \(r\)-Bell and derangement polynomials ⋮ Bell numbers modulo a prime number, traces and trinomials ⋮ Curious congruences related to the Bell polynomials ⋮ Divisibility properties of the \(r\)-Bell numbers and polynomials ⋮ Arithmetic properties of the sequence of derangements ⋮ Derangements and the 𝑝-adic incomplete gamma function

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