An asymptotic formula for a ‐th powers dividing binomial coefficients

DOI10.1112/S0025579300006811zbMath0769.11010OpenAlexW2151203634MaRDI QIDQ4024704

Jürgen Sander

Publication date: 10 February 1993

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300006811

zbMATH Keywords

exponential sumsasymptotic formuladivisors of binomial coefficients

Mathematics Subject Classification ID

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

Related Items (3)

On the order of prime powers dividing \({2n\choose n}\) ⋮ On the exponent average of integer sequences ⋮ 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
• Prime power divisors of \({2n \choose n}\)
• Unsolved problems in number theory

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