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The distribution of the binomial coefficients modulo \(p\)

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Publication:1187808
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DOI10.1016/0022-314X(92)90078-4zbMath0765.11008OpenAlexW2058390474WikidataQ56060565 ScholiaQ56060565MaRDI QIDQ1187808

Richard Garfield, Herbert S. Wilf

Publication date: 23 July 1992

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

Full work available at URL: https://doi.org/10.1016/0022-314x(92)90078-4


zbMATH Keywords

binomial coefficientsquadratic residuesquadratic nonresidues


Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65)


Related Items (8)

Exponential sums with Catalan numbers and middle binomial coefficients ⋮ On subword decomposition and balanced polynomials ⋮ Generating polynomials for the distribution of generalized binomial coefficients in discrete valuation domains ⋮ ON A CONJECTURE OF MCINTOSH REGARDING LP-SEQUENCES ⋮ The density of 0's in recurrence double sequences. ⋮ The distribution of the Carlitz binomial coefficients modulo a prime ⋮ The distribution of elements in automatic double sequences ⋮ ON DIVISIBILITY OF ${\fontsize{9}{11}\selectfont\Big(\!\!\begin{array}{c}n-i-1\\[2pti-1\end{array}\!\!\Big)}$ by i]




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