New Arithmetic Properties for Overpartitions where Nonoverlined Parts are ℓ-Regular

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dc.contributor.authorSaikia, Manjil P.
dc.date.accessioned2026-09-15T16:59:18Z
dc.date.issued2026-08-01
dc.description.abstractIn this paper, we study the partition functions Rℓ∗¯(n), which count the number of overpartitions of n where the non-overlined parts are ℓ-regular for a given ℓ. Using elementary techniques, as well as the theory of modular forms, we establish several new arithmetic properties, including infinite families of congruences for these functions. © Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2026.
dc.identifier.citationNath, H., Saikia, Manjil P., & Sellers, J. A. (2026). New Arithmetic Properties for Overpartitions where Nonoverlined Parts are ℓ-Regular. Bulletin of the Malaysian Mathematical Sciences Society, 49(4). https://doi.org/10.1007/s40840-026-02136-z
dc.identifier.doihttps://link.springer.com/article/10.1007/s40840-026-02136-z
dc.identifier.issn0126-6705
dc.identifier.issn2180-4206
dc.identifier.urihttps://ir.ahduni.edu.in/handle/123456789/8081
dc.language.isoen
dc.publisherSpringer Nature
dc.schoolSchool of Arts and Sciences
dc.sourceBulletin of the Malaysian Mathematical Sciences Society
dc.subjectHecke Eigenforms
dc.subjectInteger Partitions
dc.subjectModular Forms
dc.subjectOverpartitions
dc.subjectq-Series
dc.titleNew Arithmetic Properties for Overpartitions where Nonoverlined Parts are ℓ-Regular
dc.typeJournal Article

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