On \((\ell , m)\)-regular partitions with distinct parts
A partition is an \((l,m)\)-regular partition of the positive integer \(n\) if none of the parts is divisible by \(l\) or \(m\). In this paper, the authors denote by \(a_{l,m}(n)\) the number of such partitions of \(n\) into distinct parts and provide infinite families of congruences modulo \(2\) for \(a_{3,5}(n)\).
scientific article; zbMATH DE number 6879655