Multinomial Coefficients
โ 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
- DOI
- 10.2307/2689146
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
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