On the parity of the partition function
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Li-Xia Dai; Yong-Gao Chen
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Article
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2007
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Elsevier Science
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English
β 105 KB
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