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The idea that, starting with 4, the number of partitions for every fifth integer is a multiple of 5 can be expressed compactly in the following mathematical form, where p(n), called the partition function, is the number of partitions of an integer n; [equivalent] indicates congruence; and 0 (mod 5) means that the remainder after division by 5 must be 0. Jayce Getz, 18, a senior at Big Sky High School in Missoula, MT, was awarded the second place $75,000 scholarship for his mathematics project titled, "Extension of a Theorem of Kiming and Olsson for the Partition Function. An article by Erikkson on the partition function has been accepted by the International Journal of Mathematics and Mathematical Sciences. |
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