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- W1909563931 abstract "In this paper, we use a branch of polyhedral geometry, Ehrhart theory, to expand our combinatorial understanding of congruences for partition functions. Ehrhart theory allows us to give a new decomposition of partitions, which in turn allows us to define statistics called {it supercranks} that combinatorially witness every instance of divisibility of $p(n,3)$ by any prime $m equiv -1 pmod 6$, where $p(n,3)$ is the number of partitions of $n$ into three parts. A rearrangement of lattice points allows us to demonstrate with explicit bijections how to divide these sets of partitions into $m$ equinumerous classes. The behavior for primes $m' equiv 1 pmod 6$ is also discussed." @default.
- W1909563931 created "2016-06-24" @default.
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- W1909563931 date "2015-08-03" @default.
- W1909563931 modified "2023-09-27" @default.
- W1909563931 title "Polyhedral geometry, supercranks, and combinatorial witnesses of congruences for partitions into three parts" @default.
- W1909563931 hasPublicationYear "2015" @default.
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