The dual of Göllnitz’s (big) partition theorem

Krishnaswami Alladi; George E. Andrews

doi:10.1007/s11139-014-9617-0

The dual of Göllnitz’s (big) partition theorem

Krishnaswami Alladi
, George E. Andrews

Mathematics

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

8 Scopus citations

Abstract

We present a new companion to the deep partition theorem of Göllnitz and discuss it in the context of a generalization of Göllnitz’s theorem by Alladi–Andrews– Gordon that was obtained by the method of weighted words. After providing a q-theoretic proof of the new companion theorem, we discuss its analytic representation and its link to the key identity of Alladi–Andrews–Gordon.

Original language	English (US)
Pages (from-to)	171-201
Number of pages	31
Journal	Ramanujan Journal
Volume	36
Issue number	1
DOIs	https://doi.org/10.1007/s11139-014-9617-0
State	Published - Sep 19 2015

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1007/s11139-014-9617-0

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title = "The dual of G{\"o}llnitz{\textquoteright}s (big) partition theorem",

abstract = "We present a new companion to the deep partition theorem of G{\"o}llnitz and discuss it in the context of a generalization of G{\"o}llnitz{\textquoteright}s theorem by Alladi–Andrews– Gordon that was obtained by the method of weighted words. After providing a q-theoretic proof of the new companion theorem, we discuss its analytic representation and its link to the key identity of Alladi–Andrews–Gordon.",

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The dual of Göllnitz’s (big) partition theorem

Abstract

All Science Journal Classification (ASJC) codes

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