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math.CO2018
Andrews-Gordon Type Series for Schur's Partition Identity
Kağan Kurşungöz
We construct an evidently positive multiple series as a generating function for partitions satisfying the multiplicity condition in Schur's partition theorem. Refinements of the se…
math.CO2018
Andrews-Gordon Type Series for Kanade-Russell Conjectures
Kağan Kurşungöz
We construct Andrews-Gordon type evidently positive series as generating functions of partitions satisfying certain difference conditions in six conjectures by Kanade and Russell.…