On a conjecture of Graham on the \(p\)-divisibility of central binomial coefficients

DOI10.1112/MTK.12249MaRDI QIDQ6581852

Ernie Croot, Maxie D. Schmidt, Hamed Mousavi

Publication date: 1 August 2024

Published in: Mathematika (Search for Journal in Brave)

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Distribution functions associated with additive and positive multiplicative functions (11N60) Diophantine approximation in probabilistic number theory (11K60)

Cites Work

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• On the denominators of harmonic numbers. IV
• Divisors of the Middle Binomial Coefficient
• On the Prime Factors of \binom2nn
• On some arithmetical properties of middle binomial coefficients
• Über die Ergänzungssätze zu den allgemeinen Reciprocitätsgesetzen.
• Central binomial coefficients divisible by or coprime to their indices
• Explicit bounds on exponential sums and the scarcity of squarefree binomial coefficients
• Divisibility of the central binomial coefficient $\binom {2n}{n}$
• On polynomial-factorial diophantine equations

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