Tag: Partition (number theory)
Rectangle partitions extend integer partitions
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What the study found The study introduces a geometric extension of the partition function by counting partitions of a rectangle into rectangular blocks with integer sides. Two partitions are treated as the same when they contain the same multiset of blocks, regardless of how the blocks are arranged. Why the authors say this matters The…
Combinatorial proofs established for remaining partition results
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in MathematicsWhat the study found The authors provide combinatorial proofs for the remaining results concerning two-colored partitions and overpartitions with constraints. Why the authors say this matters The abstract says this work addresses questions raised by Andrews and El Bachraoui about whether combinatorial proofs exist for these results, and it extends earlier partial work by the…
