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A Quartic Key Identity for a Partition Theorem of Göllnitz

✍ Scribed by Krishnaswami Alladi; George E. Andrews

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
144 KB
Volume
75
Category
Article
ISSN
0022-314X

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✦ Synopsis

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

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