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math.NT2022
Congruence relations for r-colored partitions
Robert Dicks
Let be prime. For the partition function and , Atkin found a number of examples of primes such that there exist congruences of…
math.NT2022
Integer partitions with large Dyson rank
Colin Alberts, Olivia Beckwith, Irfan Demetoglu +3
The Dyson rank of an integer partition is the difference between its largest part and the number of parts it contains. Using Fine-Dyson symmetry, we give formulas for the number of…