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math.NT2014
Double series representations for Schur's partition function and related identities
George Andrews, Kathrin Bringmann, Karl Mahlburg
We prove new double summation hypergeometric -series representations for several families of partitions, including those that appear in the famous product identities of Göllnitz…
math.NT2014
False theta functions and companions to Capparelli's identities
Kathrin Bringmann, Karl Mahlburg
Capparelli conjectured two modular identities for partitions whose parts satisfy certain gap conditions, where were motivated by the calculation of characters for the standard modu…