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Odd values of the partition function

โœ Scribed by Ken Ono


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
227 KB
Volume
169
Category
Article
ISSN
0012-365X

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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