Eric H. Liu

A proof of Andrews-El Bachraoui's conjecture on the parity of coefficients of a $q$-series

Recently, Andrews and El Bachraoui studied a partition function $s_1(n)$, which counts the number of two-color partitions into distinct parts of $n$ whose smallest part occurs in one prescribed color only, while every larger part may occur in either color or in both colors. They obtained a complete description modulo 4...