3 papers
math.NT2025
2-Elongated Plane Partitions and Powers of 7: The Localization Method Applied to a Genus 1 Congruence Family
Koustav Banerjee, Nicolas Allen Smoot
Over the last century, a large variety of infinite congruence families have been discovered and studied, exhibiting a great variety with respect to their difficulty. Major complica…
math.NT2025
Explaining Unforeseen Congruence Relationships Between PEND and POND Partitions via an Atkin--Lehner Involution
James A. Sellers, Nicolas Allen Smoot
For the past several years, numerous authors have studied POD and PED partitions from a variety of perspectives. These are integer partitions wherein the odd parts must be distinct…
math.NT2024
The Localization Method Applied to -Elongated Plane Partitions and Divisibility by 5
Koustav Banerjee, Nicolas Allen Smoot
The enumeration of -elongated plane partition diamonds has emerged as a generalization of the classical integer partition function . We have discovered an infinit…