Matthew C. Russell

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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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math.CO2025

On a pair of three-colored (mod 10) partition identities

Matthew C. Russell

We prove a pair of (mod 10) partition identities. The sum sides involve three-colored partitions into distinct parts, while the product sides are the generating functions for disti…

math.CO2025

Tight cylindric partitions

Shashank Kanade, Matthew C. Russell

In this note, we initiate the study of generating functions for tight cylindric partitions. For general (i.e., $r$ -rowed for $r \geq 2$ ) tight cylindric partitions, we provide analo…