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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.

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Andrews introduced the k-marked Durfee symbols in his work defining a variant of the Atkin–Garvan moments of ranks. He provided and proved many identities and congruences using analytical methods. Here, we give an equivalent description of k-marked Durfee symbols, and using it we give combinatorial proofs to two results of Andrews'.

We construct Andrews-Gordon type evidently positive series as generating functions of partitions satisfying certain difference conditions in six conjectures by Kanade and Russell. We construct generating functions for missing partition enumerants, naturally without claiming new partition identities. Thus, we obtain q-series conjectures as companions to Kanade and Russell's combinatorial conjectures.