Everything we know about higher-dimensional integer partitions

Damir Yeliussizov
Kazakh-British Technical University

I will discuss combinatorics of higher-dimensional partitions which generalize the ordinary (1-dimensional) integer partitions and (2-dimensional) plane partitions. I will present their history, open problems and several recent results including some explicit generating functions and asymptotic bounds. Based on joint work with Alimzhan Amanov.

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