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Reducing multinomial coefficients modulo a prime power

✍ Scribed by Robert J. Martin; Gary L. Mullen

Book ID
108020125
Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
296 KB
Volume
10
Category
Article
ISSN
0898-1221

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πŸ“œ SIMILAR VOLUMES

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AND WilLiam WebB Department of Mathematics, Washington State Unicersity, Pullman, Washington 99164-3113 Communicated hy Hans Zassenhaus

Prime Power Divisors of Multinomial and
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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