A matrix generalization of a theorem of Fine

zbMath1442.11038arXiv1704.05872MaRDI QIDQ5383233

Eric S. Rowland

Publication date: 21 June 2019

Full work available at URL: https://arxiv.org/abs/1704.05872

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65)

Uses Software

• OEIS
• BinomialCoefficients

Cites Work

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• The ring of \(k\)-regular sequences
• Pascal's triangle (mod 8)
• The number of binomial coefficients divisible by a fixed power of a prime
• Subprime Factorization and the Numbers of Binomial Coefficients Exactly Divided by Powers of a Prime
• The number of nonzero binomial coefficients modulo p^alpha
• Pascal's triangle (mod 9)
• DISTRIBUTION OF BINOMIAL COEFFICIENTS AND DIGITAL FUNCTIONS
• The number of binomial coefficients in residue classes modulo p and $p^2$.
• On Pascal's triangle modulo $p^2$
• An explicit generating function arising in counting binomial coefficients divisible by powers of primes
• The Number of Binomial Coefficients Divisible by a Fixed Power of 2
• Binomial Coefficients Modulo a Prime

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