Divisibility of the central binomial coefficient $\binom {2n}{n}$

DOI10.1090/tran/8183OpenAlexW3022465257MaRDI QIDQ5143149

Kevin Ford, Sergei V. Konyagin

Publication date: 11 January 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.03903

zbMATH Keywords

asymptotic formulapositive asymptotic density

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Distribution of integers with specified multiplicative constraints (11N25)

Uses Software

• OEIS

Cites Work

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• The two-parameter Poisson-Dirichlet point process
• On the distribution of large prime divisors
• Divisors of the Middle Binomial Coefficient
• On the Prime Factors of \binom2nn
• On the Asymptotic Distribution of Large Prime Factors
• A Rate Estimate in Billingsleys Theorem for the Size Distribution of Large Prime Factors
• Central binomial coefficients divisible by or coprime to their indices

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