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<p>Generalized Frobenius partitions or more simply <i>F</i>-partitions were defined by G.E. Andrews in 1984. Recently, two eighth order mock theta functions and several <i>q</i>-series identities have been interpreted by Rana and Sareen in terms of 2-color <i>F</i>-partitions. Our paper is mainly devoted to interpretation of six basic series identities in terms of 2-color <i>F</i>-partitions satisfying certain conditions. This also leads to combinatorial identities connecting 2-color <i>F</i>-partitions to ordinary partitions.</p>

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On 3-way combinatorial identities using 2-color F-partitions

  • 期刊论文

  • 发表日期：

    2025年9月29日

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  • Rachna Sachdeva

摘要

Generalized Frobenius partitions or more simply F-partitions were defined by G.E. Andrews in 1984. Recently, two eighth order mock theta functions and several q-series identities have been interpreted by Rana and Sareen in terms of 2-color F-partitions. Our paper is mainly devoted to interpretation of six basic series identities in terms of 2-color F-partitions satisfying certain conditions. This also leads to combinatorial identities connecting 2-color F-partitions to ordinary partitions.