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20132025
most citedGhost series and a motivated proof of the Andrews-Bressoud identities

11 citations · 27 across the 14 of their papers we have counts for

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Showing 2023Show all

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math.CO2023

A refinement of and a companion to MacMahon's partition identity

Matthew C. Russell

We provide a refinement of MacMahon's partition identity on sequence-avoiding partitions, and use it to produce another mod 6 partition identity. In addition, we show that our tech…

math.CO2023

Companions to the Andrews-Gordon and Andrews-Bressoud Identities and Recent Conjectures of Capparelli, Meurman, Primc, and Primc

Matthew C. Russell

We find bivariate generating functions for the cases of recently conjectured colored partition identities of Capparelli, Meurman, A. Primc, and M. Primc that are slight varia…