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Parity Results for Certain Partition Functions

โœ Scribed by Michael D. Hirschhorn

Book ID
110282288
Publisher
Springer US
Year
2000
Tongue
English
Weight
51 KB
Volume
4
Category
Article
ISSN
1382-4090

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Let N be the set of all positive integers and D a subset of N. Let p(D, n) be the number of partitions of n with parts in D and let |D(x)| denote the number of elements of D not exceeding x. It is proved that if D is an infinite subset of N such that p(D, n) is even for all n n 0 , then |D(x)| log x