3 papers
math.NT2026
Congruences for Overcubic Partition -Tuples
Daniel Chacón, James A. Sellers
In the last few years, a number of authors have proved divisibility properties satisfied by various functions which count the number of overcubic partition --tuples of weight $n…
math.NT2026
Arithmetic Properties Satisfied by a Recent Integer Partition Function of Dombos
Robson da Silva, James A. Sellers
In recent work of Dombos, the set of integer partitions of wherein the parts are either divisible by 4 or congruent to arose in a natural way. In this work, we…
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…