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On the invariance of the string partition function under duality

✍ Scribed by Alexandros A. Kehagias


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
469 KB
Volume
375
Category
Article
ISSN
0370-2693

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On the parity of the partition function
✍ Li-Xia Dai; Yong-Gao Chen πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 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