Previous issue ·  Next issue ·  Recently posted articles ·  Most recent issue · All issues   
Home Overview Authors Editorial Contact Subscribe

Journal of the Ramanujan Mathematical Society

Volume 38, Issue 1, March 2023  pp. 15–21.

Integer partitions with large Dyson rank

Authors:  Colin Albert, Olivia Beckwith, Irfan Demetoglu, Robert Dicks, John H. Smith and Jasmine Wang
Author institution: University of Illinois at Urbana-Champaign, IL 61820, United States.

Summary:  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 study counts of partitions whose rank lies in fixed residue classes and has large absolute value. We prove formulas relating these counts for partitions of different sizes.

Contents   Full-Text PDF