论文标题

Schmidt-type定理,用于分区的零件

Schmidt-type theorems for partitions with uncounted parts

论文作者

Andrews, George E., Keith, William J.

论文摘要

施密特的定理被显着概括为分区,其中对零件的定期且任意的零件子集进行计数或未数。识别满足某些规格的彩色分区的此类分区集可能是建立总和$ q $ series身份的通常有用的工具,并给出了示例的示例。

Schmidt's theorem is significantly generalized, to partitions in which periodic but otherwise arbitrary subsets of parts are counted or uncounted. The identification of such sets of partitions with colored partitions satisfying certain specifications may be a generally useful tool for establishing sum-product $q$-series identities, examples of which are given.

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