Integer partitions with large Dyson rank

Autor: Alberts, Colin, Beckwith, Olivia, Demetoglu, Irfan, Dicks, Robert, Smith, John H., Wang, Jasmine
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: 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 partitions of n with rank larger than n/2, and we prove identities for counts of partitions with large rank in fixed residue classes.
Databáze: arXiv