Prime power divisors of binomial coefficients

DOI10.1016/S0012-365X(98)00326-4zbMath0952.11002OpenAlexW2058291074MaRDI QIDQ1301636

Grigori Kolesnik

Publication date: 8 January 2001

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(98)00326-4

zbMATH Keywords

exponential sums over primesdivisibility of binomial coefficientsVinogradov type bound

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Trigonometric and exponential sums (general theory) (11L03) Sums over primes (11L20)

Related Items (2)

Prime power divisors of multinomial and \(q\)-multinomial coefficients ⋮ Practical central binomial coefficients

Cites Work

• On divisors of binomial coefficients. I
• Prime power divisors of \({2n \choose n}\)
• Prime power divisors of multinomial coefficients and Artin's conjecture
• Estimates for trigonometric sums by Vinogradov's method, and some applications
• Prime power divisors of binomial coefficients.
• On Prime Divisors of Binomial Coefficients
• Prime power divisors of binomial coefficients: Reprise.
• On the scarcity of powerful binomial coefficients
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