Partition Identities for Two-Color Partitions

George E Andrews (1)

1 Penn State - Pennsylvania State University

Three new partition identities are found for two-color partitions. The first relates to ordinary partitions into parts not divisible by 4, the second to basis partitions, and the third to partitions with distinct parts. The surprise of the strangeness of this trio becomes clear in the proof.

Mots clés: Partitions; Two-Color Partitions; Rogers-Ramanujan identities

Domaines: Mathématiques [math]

George E Andrews. Partition Identities for Two-Color Partitions. Hardy-Ramanujan Journal, 2022, Special Commemorative volume in honour of Srinivasa Ramanujan - 2021, Volume 44 - Special Commemorative volume in honour of Srinivasa Ramanujan - 2021, pp.74 -- 80. ⟨10.46298/hrj.2022.8929⟩. ⟨hal-03498190⟩