On Multinomial Coefficients
โ Scribed by S. Tauber
- Book ID
- 120927224
- Publisher
- Mathematical Association of America
- Year
- 1963
- Tongue
- English
- Weight
- 445 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0002-9890
- DOI
- 10.2307/2312833
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๐ SIMILAR VOLUMES
We study M(n), the number of distinct values taken by multinomial coefficients with upper entry n, and some closely related sequences. We show that both p P (n)/M(n) and M(n)/p(n) tend to zero as n goes to infinity, where p P (n) is the number of partitions of n into primes and p(n) is the total num
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