Some congruences for generalized binomial coefficients

DOI10.1216/rmjm/1181072205zbMath0848.11005OpenAlexW2093842484MaRDI QIDQ1912635

William A. Webb, William A. Kimball

Publication date: 28 October 1996

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072205

zbMATH Keywords

generalized binomial coefficientscongruence propertiessecond order recurrence sequence

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07)

Related Items (3)

An extension of Lucas’ theorem ⋮ Congruences for Lucas \(u\)-nomial coefficients modulo \(p^3\) ⋮ Unnamed Item

Cites Work

• Two \(p^ 3\) variations of Lucas' theorem
• A binomial coefficient congruence modulo prime powers
• Congruence properties of ordinary and q-binomial coefficients
• The power of a prime that divides a generalized binomial coefficient.
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