Prime power divisors of \({2n \choose n}\)

DOI10.1016/0022-314X(91)90034-9zbMath0736.11011MaRDI QIDQ1176399

Jürgen Sander

Publication date: 25 June 1992

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

zbMATH Keywords

exponential sumsdivisibilitybinomial coefficientprime powers

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Estimates on exponential sums (11L07)

Related Items (5)

An asymptotic formula for a ‐th powers dividing binomial coefficients ⋮ On polynomial-factorial diophantine equations ⋮ Prime power divisors of multinomial and \(q\)-multinomial coefficients ⋮ Prime power divisors of binomial coefficients ⋮ ON DIVISIBILITY OF ${\fontsize{9}{11}\selectfont\Big(\!\!\begin{array}{c}n-i-1\\[2pti-1\end{array}\!\!\Big)}$ by i]

Cites Work

• On divisors of binomial coefficients. I
• Topics in multiplicative number theory
• The number of primes in a short interval.
• Unsolved problems in number theory
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