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math.CO2023
Some unimodal sequences of Kronecker coefficients
Alimzhan Amanov, Damir Yeliussizov
We conjecture unimodality for some sequences of generalized Kronecker coefficients and prove it for partitions with at most two columns. The proof is based on a hard Lefschetz prop…
math.CO2023★ 2 cited
Bounds on the number of higher-dimensional partitions
Damir Yeliussizov
We establish some bounds on the number of higher-dimensional partitions by volume. In particular, we give bounds via vector partitions and MacMahon's numbers.