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On the number of solutions of in distinct odd natural numbers

✍ Scribed by Arce-Nazario, R.; Castro, F.; Figueroa, R.


Book ID
120492116
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
253 KB
Volume
133
Category
Article
ISSN
0022-314X

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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