Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika"
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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2012, Issue 7, Pages 17–30 (Mi vyurm118)  
Mathematics

Pascal’s triangle and $p$-latin matrices

V. V. Karachik

South Ural State University
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Abstract: Properties of a special class of matrices arising in the analysis of binominal coefficients distribution in terms of a prime number modulus are considered. Formulae of elements distribution in the row of Pascal’s triangle in terms of a prime number modulus are obtained.
Keywords: Pascal’s triangle, latin matrices, binominal coefficient.
Received: 17.04.2012
Document Type: Article
UDC: 512.643.8+511.217
Language: Russian
Citation: V. V. Karachik, “Pascal’s triangle and $p$-latin matrices”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2012, no. 7, 17–30
Citation in format AMSBIB
\Bibitem{Kar12}
\by V.~V.~Karachik
\paper Pascal’s triangle and $p$-latin matrices
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2012
\issue 7
\pages 17--30
\mathnet{http://mi.mathnet.ru/vyurm118}
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