James A. Sellers

activity

20232025

most citedArithmetic properties for generalized cubic partitions and overpartitions modulo a prime

1 citations · 1 across the 3 of their papers we have counts for

collaborators

Showing math.NTShow all

3 papers · 1 filter

math.NT2025

New arithmetic properties for overpartitions where nonoverlined parts are $ℓ$ -regular

Hemjyoti Nath, Manjil P. Saikia, James A. Sellers

In this paper, we study the partition functions $R_{ℓ}^{*} (n)$ , which count the number of overpartitions of $n$ where the non-overlined parts are $ℓ$ -regular for a…

math.NT2024★ 1 cited

Arithmetic properties for generalized cubic partitions and overpartitions modulo a prime

Tewodros Amdeberhan, James A. Sellers, Ajit Singh

A cubic partition is an integer partition wherein the even parts can appear in two colors. In this paper, we introduce the notion of generalized cubic partitions and prove a number…

math.NT2023

Arithmetic properties modulo powers of $2$ for overpartition $k$ -tuples with odd parts

Manjil P. Saikia, Abhishek Sarma, James A. Sellers

Recently, Drema and Saikia (2023) proved several congruences modulo powers of 2 and 3 for overpartition triples with odd parts. We extend their list substantially. We prove several…

New arithmetic properties for overpartitions where nonoverlined parts are ℓ-regular

Arithmetic properties for generalized cubic partitions and overpartitions modulo a prime

Arithmetic properties modulo powers of 2 for overpartition k-tuples with odd parts

New arithmetic properties for overpartitions where nonoverlined parts are $ℓ$ -regular

Arithmetic properties modulo powers of $2$ for overpartition $k$ -tuples with odd parts