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Generalizing the Recursion Relationship for the Partition Function

✍ Scribed by Jiuzhao Hua

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
313 KB
Volume
79
Category
Article
ISSN
0097-3165

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✦ Synopsis

The known recursion relationship for the partition function p(n) which represents the number of partitions of the positive integer n is exhibited as the limit as q Γ„ in one identity and as the case 1 substituted for q in a second formula that arise from a matrix problem over the field of q elements. Such identities can be further generalized.

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