Rectangle partitions generalizing integer partitions
Krystian Gajdzica, Robin Visser, Maciej Zakarczemny
公開日: 2025/9/24
Abstract
In this paper, we introduce a natural geometric extension of the partition function. More precisely, we investigate the problem of counting partitions of a rectangle into rectangular blocks with integer sides. Here, two partitions of a rectangle are indistinguishable if they consist of the same multiset of blocks -- their geometric arrangement does not matter.