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The Andrews–Gordon Identities andq-Multinomial Coefficients

✍ Scribed by S. Ole Warnaar


Book ID
105904156
Publisher
Springer
Year
1997
Tongue
English
Weight
294 KB
Volume
184
Category
Article
ISSN
0010-3616

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On the number of distinct multinomial co
✍ George E. Andrews; Arnold Knopfmacher; Burkhard Zimmermann 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 147 KB

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