Even-Odd partition identities of Rogers-Ramanujan type
arXiv:2007.10881 · doi:10.1007/s11139-021-00470-3
Abstract
We prove a theorem which add a new member to Rogers-Ramanujan identities. This new member counts partitions with different type of constraints on even and odd parts. Generalizing this theorem, we obtain two family of partition identities of Rogers-Ramanujan type.
published version