Work

Explicit families of congruences for the overpartition function

Year: 2024

Type: article

Abstract: In this article we exhibit new explicit families of congruences for the overpartition function, making effective the existence results given previously by Treneer. We give infinite families of congruences modulo m for $$m = 3, 5, 7, 11$$ m = 3 , 5 , 7 , 11 , and finite families for $$m = 13, 17, 19$$ m = 13 , 17 , 19 .

Source: The Ramanujan Journal

DOI: 10.1007/s11139-024-00953-z

Authors: Nathan C. Ryan, Nicolás Sirolli, Jean Carlos Villegas-Morales, Qi-Yang Zheng

Institutions: Bucknell University, Consejo Nacional de Investigaciones Científicas y Técnicas, Universidad de Buenos Aires, Universidad de Costa Rica, Sun Yat-sen University

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,890

OpenAlex ID: W4403371558