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Article overview
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Variation on a theme of Nathan Fine. New weighted partition identities | | Alexander Berkovich
; Ali Kemal Uncu
; | | Date: |
1 May 2016 | | Abstract: | We utilize false theta function results of Nathan Fine to discover two new
partition identities involving weights. These relations connect
G"ollnitz--Gordon type partitions and partitions with distinct odd parts, and
partitions into distinct parts and ordinary partitions, respectively. Some of
our weights involve a new partition statistic, defined as the number of odd
parts of a partition bigger than a given value.
Dedicated to our friend, Krishna Alladi, on his 60th birthday. | | Source: | arXiv, 1605.0291 | | Services: | Forum | Review | PDF | Favorites | |
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