scientific article; zbMATH DE number 7199606

zbMath1446.11005MaRDI QIDQ5109550

Christian Ballot

Publication date: 12 May 2020

Full work available at URL: https://cs.uwaterloo.ca/journals/JIS/VOL23/Ballot/ballot38.html

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Lucas sequencegeneralized binomial coefficientrank of appearanceWolstenholme's congruence

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Lucas and Lehmer numbers without primitive divisor
• \(q\)-analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher
• Some congruences for generalized binomial coefficients
• Congruences for Lucas \(u\)-nomial coefficients modulo \(p^3\)
• Existence of primitive divisors of Lucas and Lehmer numbers
• The congruence of Wolstenholme and generalized binomial coefficients related to Lucas sequences
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