We construct an evidently positive multiple series as a generating function for partitions satisfying the multiplicity condition in Schur's partition theorem. Refinements of the series when parts in the said partitions are classified according to their parities or values mod 3 are also considered. Direct combinatorial interpretations of the series are provided.

中文翻译：

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Schur 分区恒等式的 Andrews-Gordon 型级数

我们构造一个明显为正的多重级数作为满足 Schur 划分定理中的多重性条件的划分的生成函数。当所述分区中的部件根据它们的奇偶校验或值 mod 3 进行分类时，还考虑了对系列的改进。提供了该系列的直接组合解释。