The number of binomial coefficients divisible by a fixed power of a prime

DOI10.1007/BF02843799zbMath0177.06701OpenAlexW2025772145MaRDI QIDQ2534217

Leonard Carlitz

Publication date: 1967

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02843799

zbMATH Keywords

binomial coefficientsdivisibility by fixed power of prime

Mathematics Subject Classification ID

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

Related Items (10)

Fractals related to Pascal's triangle ⋮ Counting Binomial Coefficients Divisible by a Prime Power ⋮ Asymptotic prime-power divisibility of binomial, generalized binomial, and multinomial coefficients ⋮ Formulas for the Number of Binomial Coefficients Divisible by a Fixed Power of a Prime ⋮ Prime divisors of q-binomial coefficients ⋮ Divisibility of binomial coefficients by powers of two ⋮ A matrix generalization of a theorem of Fine ⋮ On a Conjecture of Cusick Concerning the Sum of Digits of $n$ and $n+t$ ⋮ Distribution of polynomial coefficients, congruent modulo \(p^ N\) ⋮ Reducing multinomial coefficients modulo a prime power

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