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Diskretnyi Analiz i Issledovanie Operatsii, 2013, Volume 20, Issue 2, Pages 26–46 (Mi da724)  
Rows of Pascal's triangle modulo a prime

V. V. Karachik

South Ural State University, Chelyabinsk, Russia
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Abstract: Properties of a special class of matrices arising in study of distribution of binomial coefficients modulo a prime are given. Formulas for binomial coefficients modulo a prime in the rows of Pascal's triangle are obtained. Ill. 1, bibliogr. 7.
Keywords: Pascal's triangle, latin matrix, binomial coefficients, modulo a prime.
Received: 07.06.2012
Revised: 10.10.2012
Bibliographic databases:
Document Type: Article
UDC: 512.643.8+511.217
Language: Russian
Citation: V. V. Karachik, “Rows of Pascal's triangle modulo a prime”, Diskretn. Anal. Issled. Oper., 20:2 (2013), 26–46
Citation in format AMSBIB
\Bibitem{Kar13}
\by V.~V.~Karachik
\paper Rows of Pascal's triangle modulo a~prime
\jour Diskretn. Anal. Issled. Oper.
\yr 2013
\vol 20
\issue 2
\pages 26--46
\mathnet{http://mi.mathnet.ru/da724}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3113079}
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