Faye Jackson

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20212023

most citedUnexpected Biases between Congruence Classes for Parts in k-indivisible Partitions

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math.CO2023

Parts in $k$ -indivisible Partitions Always Display Biases between Residue Classes

Faye Jackson, Misheel Otgonbayar

Let $k, t$ be coprime integers, and let $1 \leq r \leq t$ . We let $D_{k}^{\times} (r, t; n)$ denote the total number of parts among all $k$ -indivisible partitions (i.e., those partitions…

Parts in k-indivisible Partitions Always Display Biases between Residue Classes

Parts in $k$ -indivisible Partitions Always Display Biases between Residue Classes