4 papers · 1 filter
A generalization of Franklin's partition identity and a Beck-type companion identity
Gabriel Gray, David Hovey, Brandt Kronholm +3
Euler's classic partition identity states that the number of partitions of into odd parts equals the number of partitions of into distinct parts. We develop a new generaliz…
Supercongruences arising from Ramanujan-Sato Series
Angelica Babei, Manami Roy, Holly Swisher +2
Recently, the authors with Lea Beneish established a recipe for constructing Ramanujan-Sato series for , and used this to construct 11 explicit examples of Ramanujan-Sato seri…
Toward resolving Kang and Park's generalization of the Alder-Andrews Theorem
Leah Sturman, Holly Swisher
The Alder-Andrews Theorem, a partition inequality generalizing Euler's partition identity, the first Rogers-Ramanujan identity, and a theorem of Schur to -distinct partitions of…
Analogues of Alder-Type Partition Inequalities for Fixed Perimeter Partitions
Ling Chen, Isabelle Hernandez, Zain Shields +1
In a 2016 paper, Straub proved an analogue to Euler's partition identity for partitions with fixed perimeter. Later, Fu and Tang provided a refinement and generalization of Straub'…