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.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…
math.NT2024
Asymptotics for the reciprocal and shifted quotient of the partition function
Koustav Banerjee, Peter Paule, Cristian-Silviu Radu +1
Let denote the partition function. In this paper our main goal is to derive an asymptotic expansion up to order (for any fixed positive integer ) along with estimates…