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Even-Odd partition identities of Rogers-Ramanujan type

Published 21 Jul 2020 in math.AG and math.CO | (2007.10881v4)

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.

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