2 papers
math.CO2026
On a two-color partition series and its companions
George E. Andrews, Mohamed El Bachraoui
We study the two-color distinct-part series \(S_1(q)\), equivalently Andrews' generating function \(v_d(q)\) for strictly concave compositions, and its odd and even companions \(T_…
math.CO2024
Identities involving partitions with distinct even parts and -regular partitions
George E. Andrews, Mohamed El Bachraoui
It is well known that the number of partitions into distinct even parts equals the number of -regular partitions. In this paper we prove identities relating certain restricted p…