Congruence modulo 4 for Andrews' integer partition with even parts below odd parts

Abstract

We find and prove a class of congruences modulo 4 for Andrews' partition with certain ternary quadratic form. We also discuss distribution of EO(n) and further prove that EO(n)04 for almost all n. This study was inspired by similar congruences modulo 4 in the work by the second author and Garvan.

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