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Prime power divisors of (n2n)

✍ Scribed by J.W. Sander


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
317 KB
Volume
39
Category
Article
ISSN
0022-314X

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πŸ“œ SIMILAR VOLUMES


Prime Power Divisors of Multinomial and
✍ Grigori Kolesnik πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 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

On the Prime Power Factorization of n!
✍ Yong-Gao Chen; Yao-Chen Zhu πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 105 KB

The parity of exponents in the prime power factorization of n! is considered. We extend and generalize Berend's result in [On the parity of exponents in the factorization of n!,