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Multinomial Coefficients

โœ Scribed by Morton Abramson


Book ID
115471115
Publisher
Mathematical Association of America
Year
1968
Tongue
English
Weight
524 KB
Volume
41
Category
Article
ISSN
0025-570X

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๐Ÿ“œ SIMILAR VOLUMES


On Multinomial Coefficients
โœ S. Tauber ๐Ÿ“‚ Article ๐Ÿ“… 1963 ๐Ÿ› Mathematical Association of America ๐ŸŒ English โš– 445 KB
Prime Power Divisors of Multinomial and
โœ Grigori Kolesnik ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 151 KB

We prove that for any integer d multinomial coefficients satisfying some conditions are exactly divisible by p d for many large primes p. The obtained results are essentially the best possible. Also, we show that under some hypothesis q-multinomial coefficients are divisible by p d . ## 2001 Academ

Gauss sums and multinomial coefficients
โœ Paul Thomas Young ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 251 KB

Consider a Gauss sum for a finite field of characteristic p; where p is an odd prime. When such a sum (or a product of such sums) is a p-adic integer we show how it can be realized as a p-adic limit of a sequence of multinomial coefficients. As an application we generalize some congruences of Hahn a

On Multinomial Coefficients Modulo a Pri
โœ Chao, Chong-Yun; Zhang, Mou-Cheng ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 283 KB