George E Andrews - Partition Identities for Two-Color Partitions

hrj:8929 - Hardy-Ramanujan Journal, January 9, 2022, Volume 44 - Special Commemorative volume in honour of Srinivasa Ramanujan - 2021 - https://doi.org/10.46298/hrj.2022.8929
Partition Identities for Two-Color Partitions

Authors: George E Andrews

    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.

    https://doi.org/10.46298/hrj.2022.8929
    Source : oai:HAL:hal-03498190v1
    Volume: Volume 44 - Special Commemorative volume in honour of Srinivasa Ramanujan - 2021
    Published on: January 9, 2022
    Accepted on: January 9, 2022
    Submitted on: January 6, 2022
    Keywords: Partitions,Two-Color Partitions,Rogers-Ramanujan identities,2010 Mathematics Subject Classification. 11P81; 05A19,[MATH]Mathematics [math]

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