ON DIVISIBILITY OF ${\fontsize{9}{11}\selectfont\Big(\!\!\begin{array}{c}n-i-1\\[2pt]i-1\end{array}\!\!\Big)}$ by i

DOI10.1142/S179304210700078XzbMath1115.11014MaRDI QIDQ3435265

Vladimir Shevelev

Publication date: 25 April 2007

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

zbMATH Keywords

Mersenne primes\(k\)-twin primesdivisors of binomial coefficients

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Distribution of primes (11N05)

Cites Work

• Unnamed Item
• On divisors of binomial coefficients. I
• Prime power divisors of \({2n \choose n}\)
• The distribution of the binomial coefficients modulo \(p\)
• On prime divisors of the binomial coefficient
• An asymptotic formula for a ‐th powers dividing binomial coefficients
• On Prime Divisors of Binomial Coefficients
• Explicit bounds on exponential sums and the scarcity of squarefree binomial coefficients
• On primes not dividing binomial coefficients
• On Some Divisibility Properties of

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