10 citations · 11 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Parity biases in partitions and restricted partitions
Koustav Banerjee, Sreerupa Bhattacharjee, Manosij Ghosh Dastidar +2
Let (resp. ) denote the number of partitions of with more odd parts (resp. even parts) than even parts (resp. odd parts). Recently, Kim, Kim, and Lovejoy p…
New representations for via reciprocity theorems
Koustav Banerjee, Atul Dixit
Two new representations for Ramanujan's function are obtained. The proof of the first one uses the three-variable reciprocity theorem due to Soon-Yi Kang and a transformatio…