TY - JOUR
T1 - Extending recent congruence results on (ℓ,μ)-regular overpartitions
AU - Paudel, Bishnu
AU - Sellers, James A.
AU - Wang, Haiyang
N1 - Publisher Copyright:
© The Author(s) 2025.
PY - 2025/11
Y1 - 2025/11
N2 - Recently, Alanazi, Munagi, and Saikia employed the theory of modular forms to investigate the arithmetic properties of the function Rℓ,μ¯(n), which enumerates the overpartitions of n, where no part is divisible by either ℓ or μ, for various integer pairs (ℓ,μ). In this paper, we substantially extend several of their results and establish infinitely many families of new congruences. Our proofs are entirely elementary, relying solely on classical q-series manipulations and dissection formulas.
AB - Recently, Alanazi, Munagi, and Saikia employed the theory of modular forms to investigate the arithmetic properties of the function Rℓ,μ¯(n), which enumerates the overpartitions of n, where no part is divisible by either ℓ or μ, for various integer pairs (ℓ,μ). In this paper, we substantially extend several of their results and establish infinitely many families of new congruences. Our proofs are entirely elementary, relying solely on classical q-series manipulations and dissection formulas.
UR - https://www.scopus.com/pages/publications/105019390636
UR - https://www.scopus.com/pages/publications/105019390636#tab=citedBy
U2 - 10.1007/s40590-025-00817-6
DO - 10.1007/s40590-025-00817-6
M3 - Article
AN - SCOPUS:105019390636
SN - 1405-213X
VL - 31
JO - Boletin de la Sociedad Matematica Mexicana
JF - Boletin de la Sociedad Matematica Mexicana
IS - 3
M1 - 135
ER -