Prime power divisors of multinomial and \(q\)-multinomial coefficients

DOI10.1006/jnth.2001.2657zbMath0981.11007OpenAlexW2022253748MaRDI QIDQ5942979

Grigori Kolesnik

Publication date: 5 September 2001

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

Full work available at URL: https://doi.org/10.1006/jnth.2001.2657

zbMATH Keywords

\(q\)-multinomial coefficientsmultinomial coefficientsprime power divisors

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Cites Work

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• On divisors of binomial coefficients. I
• Prime power divisors of \({2n \choose n}\)
• Prime power divisors of binomial coefficients
• Prime power divisors of multinomial coefficients and Artin's conjecture
• Prime power divisors of binomial coefficients.
• On Prime Divisors of Binomial Coefficients
• Prime power divisors of binomial coefficients: Reprise.
• Explicit bounds on exponential sums and the scarcity of squarefree binomial coefficients

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