James A. Sellers

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20242026

most citedA Family of Congruences Modulo 7 for Partitions with Monochromatic Even Parts and Multi--Colored Odd Parts

1 citations · 1 across the 4 of their papers we have counts for

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math.NT2026

A uniform proof approach for congruences modulo 3 for partitions with $k$ -colored odd parts

Marie Jameson, James A. Sellers

In recent work, Hirschhorn and the second author defined $a_{k} (n)$ to be the number of partitions of $n$ wherein the even parts come in only one color, while the odd parts may be ``…

math.NT2025

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 $a_{5} (n)$ which counts the number of…

math.NT2025

Additional Congruences for generalized Color Partitions of Hirschhorn and Sellers

Anjelin Mariya Johnson, James A. Sellers, S. N. Fathima

Let $a_{k} (n)$ denote the number of partitions of $n$ wherein even parts come in only one color, while the odd parts may be ``colored" with one of $k$ colors, for fixed $k$ . In this…

math.NT2024

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 $a (n)$ which counts the number of partitions of $n$ where odd parts are repeated at most twice (and t…

A uniform proof approach for congruences modulo 3 for partitions with k-colored odd parts

Elementary Proofs and Generalizations of Recent Congruences of Thejitha and Fathima

Additional Congruences for generalized Color Partitions of Hirschhorn and Sellers

Elementary Proofs of Two Congruences for Partitions with Odd Parts Repeated at Most Twice

A uniform proof approach for congruences modulo 3 for partitions with $k$ -colored odd parts