Some new partition theorems

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In this paper the following theorem is proved and generalized. The partitions of any positive integer, n, into parts of the forms 6m+2, 6m+3, 6m+4 are equinumerous with those partitions of n into parts ≧2 which neither involve sequences nor allow any part to appear more than twice.

Original languageEnglish (US)
Pages (from-to)431-436
Number of pages6
JournalJournal of Combinatorial Theory
Issue number4
StatePublished - Jun 1967


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