BOUNDS ON THE NUMBER OF HIGHER-DIMENSIONAL PARTITIONS


Yeliussizov D.
1 March 2024American Mathematical Society

Proceedings of the American Mathematical Society
2024#152Issue 3955 - 965 pp.

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.



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Kazakh-British Technical University, Almaty, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

Kazakh-British Technical University
Institute of Mathematics and Mathematical Modeling

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