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math.CO2026
The asymptotic behavior of the rectangle partition function
Krystian Gajdzica, Maciej Zakarczemny
Let denote the number of partitions of a rectangle into integer-sided rectangular blocks, where two partitions are indistinguishable if they consist of the sam…
math.CO2026
A note on the partition function of a rectangle
Krystian Gajdzica, Maciej Zakarczemny
We investigate the asymptotic behavior of the rectangle partition functions and . The function counts partitions of the square into rectangula…