3 citations · 3 across the 6 of their papers we have counts for
12 papers
Generalized Alder-Type Partition Inequalities
Liam Armstrong, Bryan Ducasse, Thomas Meyer +1
In 2020, Kang and Park conjectured a "level " Alder-type partition inequality which encompasses the second Rogers-Ramanujan Identity. Duncan, Khunger, the fourth author, and Tam…
Generalizations of Alder's Conjecture via a Conjecture of Kang and Park
Adriana L. Duncan, Simran Khunger, Holly Swisher +1
Integer partitions have long been of interest to number theorists, perhaps most notably Ramanujan, and are related to many areas of mathematics including combinatorics, modular for…
An analogue of -marked Durfee symbols for strongly unimodal sequences
Savana Ammons, Young Jin Kim, Laura Seaberg +1
In a seminal 2007 paper, Andrews introduced a class of combinatorial objects that generalize partitions called -marked Durfee symbols. Multivariate rank generating functions for…
Inequalities for the th Residual Crank Moments of Overpartitions
Ali H. Al-Saedi, Thomas Morrill, Holly Swisher
Two analogues of the crank function are defined for overpartitions -- the first residual crank and the second residual crank. This suggests an exploration of crank functions define…
Extending a catalog of mock and quantum modular forms to an infinite class
Allison Arnold-Roksandich, Brian Diaz, Erin Ellefsen +1
Utilizing a classification due to Lemke Oliver of eta-quotients which are also theta functions (here called eta-theta functions), Folsom, Garthwaite, Kang, Treneer, and the fourth…
Quantum modular forms and singular combinatorial series with repeated roots of unity
Amanda Folsom, Min-Joo Jang, Sam Kimport +1
In 2007, G.E. Andrews introduced the -variable combinatorial generating function for ranks of -marked Durfee symbols, an -dimensional m…