Brandt.KronholmAffiliation: University of Texas Rio Grande Valley Title Of Talk: Varieties of Congruences and Cranks for Partitions into Parts from a Finite Set Abstract: We will showcase several varieties of infinite families of congruences for partitions into parts from a finite set. We will discuss the corresponding varieties of crank statistics witnessing these congruences and show that Dyson's rank of a partition witnesses infinitely many of them. Our methods include polyhedral geometry, identifying power series to polynomials, and q-series. This talk will set up Jena Gregory's presentation: "Combinatorial Statistics Witnessing and Infinite Family of Congruences for a Sum of Partition Functions".
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Last update made Tue Mar 10 21:28:04 CDT 2026.
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