1 citations · 1 across the 4 of their papers we have counts for
6 papers
A uniform proof approach for congruences modulo 3 for partitions with -colored odd parts
Marie Jameson, James A. Sellers
In recent work, Hirschhorn and the second author defined to be the number of partitions of wherein the even parts come in only one color, while the odd parts may be ``…
Arithmetic Properties of Colored Partitions Restricted by Parity of the Parts
M. P. Thejitha, James A. Sellers, S. N. Fathima
Let denote the number of mutlicolored partitions of , wherein both even parts and odd parts may appear in one of -colors and -colors, respectively, for fixed…
Elementary Proofs and Generalizations of Recent Congruences of Thejitha and Fathima
James A. Sellers
Motivated by recent work of Hirschhorn and the author, Thejitha and Fathima recently considered arithmetic properties satisfied by the function which counts the number of…
Additional Congruences for generalized Color Partitions of Hirschhorn and Sellers
Anjelin Mariya Johnson, James A. Sellers, S. N. Fathima
Let denote the number of partitions of wherein even parts come in only one color, while the odd parts may be ``colored" with one of colors, for fixed . In this…
A Family of Congruences Modulo 7 for Partitions with Monochromatic Even Parts and Multi--Colored Odd Parts
Michael D. Hirschhorn, James A. Sellers
In recent work, Amdeberhan and Merca considered the integer partition function which counts the number of integer partitions of weight wherein even parts come in only on…
Elementary Proofs of Two Congruences for Partitions with Odd Parts Repeated at Most Twice
James A. Sellers
In a recent article on overpartitions, Merca considered the auxiliary function which counts the number of partitions of where odd parts are repeated at most twice (and t…