A new property of partitions with applications to the Rogers-Ramanujan identities

George E. Andrews

doi:10.1016/0097-3165(71)90031-8

A new property of partitions with applications to the Rogers-Ramanujan identities

George E. Andrews

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The order of a partition π (relative to N) is defined as the largest i for which the number of summands in the closed interval [i, i + N - 1] is at least i. By studying the generating function for partitions into distinct parts not exceeding 2N with given order, we are able to derive an identity of importance in the theory of partitions.

Original language	English (US)
Pages (from-to)	266-270
Number of pages	5
Journal	Journal of Combinatorial Theory, Series A
Volume	10
Issue number	3
DOIs	https://doi.org/10.1016/0097-3165(71)90031-8
State	Published - May 1971

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1016/0097-3165(71)90031-8

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abstract = "The order of a partition π (relative to N) is defined as the largest i for which the number of summands in the closed interval [i, i + N - 1] is at least i. By studying the generating function for partitions into distinct parts not exceeding 2N with given order, we are able to derive an identity of importance in the theory of partitions.",

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AB - The order of a partition π (relative to N) is defined as the largest i for which the number of summands in the closed interval [i, i + N - 1] is at least i. By studying the generating function for partitions into distinct parts not exceeding 2N with given order, we are able to derive an identity of importance in the theory of partitions.

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U2 - 10.1016/0097-3165(71)90031-8

DO - 10.1016/0097-3165(71)90031-8

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A new property of partitions with applications to the Rogers-Ramanujan identities

Abstract

All Science Journal Classification (ASJC) codes

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