Hunter Waldron

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math.CO2025

On the $q$ -factorization of power series

Robert Schneider, Andrew V. Sills, Hunter Waldron

Any power series with unit constant term can be factored into an infinite product of the form $\prod_{n \geq 1} (1 - q^{n})^{- a_{n}}$ . We give direct formulas for the exponents $a_{n}$ in t…

math.CO2024

An Overpartition Companion of Andrews and Keith's 2-colored $q$ -series Identity

Hunter Waldron

Andrews and Keith recently produced a general Schmidt type partition theorem using a novel interpretation of Stockhofe's bijection, which they used to find new $q$ -series identitie…

On the q-factorization of power series

An Overpartition Companion of Andrews and Keith's 2-colored q-series Identity

On the $q$ -factorization of power series

An Overpartition Companion of Andrews and Keith's 2-colored $q$ -series Identity