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The sum of the squares of the parts of a partition, and some related questions

โœ Scribed by Bruce Reznick

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
397 KB
Volume
33
Category
Article
ISSN
0022-314X

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Let be a partition of an integer n chosen uniformly at random among all ลฝ . such partitions. Let s be a part size chosen uniformly at random from the set of all part ลฝ . sizes that occur in . We prove that, for every fixed m G 1, the probability that s has ลฝ ลฝ .. multiplicity m in approaches 1r m mq