Some new partition theorems

George E. Andrews

doi:10.1016/S0021-9800(67)80054-1

Some new partition theorems

George E. Andrews

Mathematics

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25 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	431-436
Number of pages	6
Journal	Journal of Combinatorial Theory
Volume	2
Issue number	4
DOIs	https://doi.org/10.1016/S0021-9800(67)80054-1
State	Published - Jun 1967

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10.1016/S0021-9800(67)80054-1

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title = "Some new partition theorems",

abstract = "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.",

author = "Andrews, \{George E.\}",

note = "Funding Information: * Partially supported by National Science Foundation Grant NSF 6592.",

year = "1967",

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AB - 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.

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DO - 10.1016/S0021-9800(67)80054-1

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VL - 2

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EP - 436

JO - Journal of Combinatorial Theory

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Some new partition theorems

Abstract

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