4 citations · 4 across the 4 of their papers we have counts for
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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…
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…
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…
Old Meets New: Connecting Two Infinite Families of Congruences Modulo Powers of 5 for Generalized Frobenius Partition Functions
Frank G. Garvan, James A. Sellers, Nicolas Allen Smoot
In 2012 Paule and Radu proved a difficult family of congruences modulo powers of 5 for Andrews' 2-colored generalized Frobenius partition function. The family is associated with th…