Athens

Solid Partitions on a Cube

Suitable for
Undergraduate research
Supervision
Zafeirakis Zafeirakopoulos
Prerequisites
JuliaLang, generating functions

Compute the full generating function of the solid partitions on a cube. The problem has a long history, since P. MacMahon more than 100 years ago investigated it. Theoretically the problem is easy to understand. Computationally is intractable by current software and methods. In this project we study structural properties that can speed up the implementation as well as using parallel computing for making the computation possible.

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