Prime Power Divisors of Multinomial Coefficients and Artin′s Conjecture

✍ Scribed by J.W. Sander

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 305 KB
Volume: 46
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1994.1019

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✍ Grigori Kolesnik 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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