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单词 Elder's Theorem
释义

Elder's Theorem

A generalization of Stanley's Theorem. It states that the total number of occurrences of an Integer amongall unordered Partitions of is equal to the number of occasions that a part occurs or more timesin a Partition, where a Partition which contains parts that each occur or more times contributes tothe sum in question.

See also Stanley's Theorem


References

Honsberger, R. Mathematical Gems III. Washington, DC: Math. Assoc. Amer, pp. 8-9, 1985.


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