8 citations · 14 across the 14 of their papers we have counts for
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On the Computation of Identities Relating Partition Numbers in Arithmetic Progressions with Eta Quotients: An Implementation of Radu's Algorithm
Nicolas Allen Smoot
In 2015 Cristian-Silviu Radu designed an algorithm to detect identities of a class studied by Ramanujan and Kolberg. This class includes the famous identities by Ramanujan which pr…
A Single-Variable Proof of the Omega SPT Congruence Family Over Powers of 5
Nicolas Allen Smoot
In 2018 Liuquan Wang and Yifan Yang proved the existence of an infinite family of congruences for the smallest parts function corresponding to the third order mock theta function $…
A Partition Function Connected with the Göllnitz--Gordon Identities
Nicolas Allen Smoot
We use the celebrated circle method of Hardy and Ramanujan to develop convergent formulae for counting a restricted class of partitions that arise from the Göllnitz--Gordon identit…
A Method of Verifying Partition Congruences by Symbolic Computation
Cristian-Silviu Radu, Nicolas Allen Smoot
Conjectures involving infinite families of restricted partition congruences can be difficult to verify for a number of individual cases, even with a computer. We demonstrate how th…
A Family of Congruences for Rogers--Ramanujan Subpartitions
Nicolas Allen Smoot
In 2015 Choi, Kim, and Lovejoy studied a weighted partition function, , which counted subpartitions with a structure related to the Rogers--Ramanujan identities. They conje…