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math.CO2023
Hook lengths in self-conjugate partitions
Tewodros Amdeberhan, George E. Andrews, Ken Ono +1
In 2010, G.-N. Han obtained the generating function for the number of size hooks among integer partitions. Here we obtain these generating functions for self-conjugate partitio…
math.CO2023
Extensions of MacMahon's sums of divisors
Tewodros Amdeberhan, George E. Andrews, Roberto Tauraso
In 1920, P. A. MacMahon generalized the (classical) notion of divisor sums by relating it to the theory of partitions of integers. In this paper, we extend the idea of MacMahon. In…