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In his recent work, Andrews revisited two-color partitions with certainrestrictions on the differences between consecutive parts, and he establishedthree theorems linking these two-color partitions with more familiar kinds ofpartitions. In this note, we provide bijective proofs as well as refinements ofthose three theorems of Andrews. Our refinements take into account the numbersof parts in each of the two colors.

Combinatorial proofs and refinements of three partition theorems of Andrews