A Quartic Key Identity for a Partition Theorem of Göllnitz

Krishnaswami Alladi; George E. Andrews

doi:10.1006/jnth.1998.2335

A Quartic Key Identity for a Partition Theorem of Göllnitz

Krishnaswami Alladi, George E. Andrews

Mathematics

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

6 Scopus citations

Abstract

A key identity in three free parameters involving partitions into distinct parts is proved using Jackson'sq-analog of Dougall's summation. This identity is shown to be combinatorially equivalent to a reformulation of a deep partition theorem of Göllnitz obtained by the use of a quartic transformation.

Original language	English (US)
Pages (from-to)	220-236
Number of pages	17
Journal	Journal of Number Theory
Volume	75
Issue number	2
DOIs	https://doi.org/10.1006/jnth.1998.2335
State	Published - Apr 1999

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1006/jnth.1998.2335

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title = "A Quartic Key Identity for a Partition Theorem of G{\"o}llnitz",

abstract = "A key identity in three free parameters involving partitions into distinct parts is proved using Jackson'sq-analog of Dougall's summation. This identity is shown to be combinatorially equivalent to a reformulation of a deep partition theorem of G{\"o}llnitz obtained by the use of a quartic transformation.",

author = "Krishnaswami Alladi and Andrews, {George E.}",

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AB - A key identity in three free parameters involving partitions into distinct parts is proved using Jackson'sq-analog of Dougall's summation. This identity is shown to be combinatorially equivalent to a reformulation of a deep partition theorem of Göllnitz obtained by the use of a quartic transformation.

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A Quartic Key Identity for a Partition Theorem of Göllnitz

Abstract

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