On some congruences for the Bell numbers and for the Stirling numbers

DOI10.1016/0022-314X(91)90084-OzbMath0734.11020MaRDI QIDQ810560

Hirofumi Tsumura

Publication date: 1991

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

congruencesStirling numbers of the second kindBell numbersp-adic integers

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Congruences; primitive roots; residue systems (11A07) Algebraic number theory: local fields (11S99)

Related Items (9)

On a diophantine problem concerning Stirling numbers ⋮ THE 2-ADIC VALUATIONS OF STIRLING NUMBERS OF THE SECOND KIND ⋮ Backward Touchard congruence ⋮ Some identities and congruences for \(q\)-Stirling numbers of the second kind ⋮ Congruences for Bernoulli, Euler, and Stirling numbers ⋮ On Whitney numbers of Dowling lattices ⋮ Congruences for degenerate number sequences. ⋮ Identities behind some congruences for \(r\)-Bell and derangement polynomials ⋮ Divisibility properties of the \(r\)-Bell numbers and polynomials

Cites Work

• On a \(p\)-adic interpolation of the generalized Euler numbers and its applications
• \(p\)-adic proofs of congruences for the Bernoulli numbers
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