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2 results on '"11P84, 05A17, 05A19"'

1. Combinatorial proofs and refinements of three partition theorems of Andrews

Author

Fu, Shishuo

Subjects
Mathematics - Combinatorics, 11P84, 05A17, 05A19
Abstract

In his recent work, Andrews revisited two-color partitions with certain restrictions on the differences between consecutive parts, and he established three theorems linking these two-color partitions with more familiar kinds of partitions. In this note, we provide bijective proofs as well as refinements of those three theorems of Andrews. Our refinements take into account the numbers of parts in each of the two colors., Comment: 11 pages, 2 figures, comments are welcome

Published
2022

2. Combinatorial proofs and refinements of three partition theorems of Andrews

Author

Shishuo Fu

Subjects
Algebra and Number Theory, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 11P84, 05A17, 05A19
Abstract

In his recent work, Andrews revisited two-color partitions with certain restrictions on the differences between consecutive parts, and he established three theorems linking these two-color partitions with more familiar kinds of partitions. In this note, we provide bijective proofs as well as refinements of those three theorems of Andrews. Our refinements take into account the numbers of parts in each of the two colors., Comment: 11 pages, 2 figures, comments are welcome

Published
2022
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