Arithmetic Properties Modulo Powers of 2 and 3 for Overpartition k-Tuples with Odd Parts

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dc.contributor.authorSaikia, Manjil P.
dc.date.accessioned2026-07-13T14:29:06Z
dc.date.available2026-07-13T14:29:06Z
dc.date.issued2026-06-01
dc.description.abstractRecently, Drema and N. Saikia (2023) and M. P. Saikia, Sarma, and Sellers (2025) proved several congruences modulo powers of 2 for overpartition triples with odd parts. In this paper we study further divisibility properties of overpartition k-tuples with odd parts using elementary means as well as properties of modular forms. In particular, we prove several congruences modulo multiples of 3, and an infinite family of congruences modulo powers of 3
dc.description.abstractwe also prove some cases of a conjecture of Saikia, Sarma, and Sellers. © Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2026.
dc.identifier.citationDas, H., Saikia, Manjil P., & Sarma, A. (2026). Arithmetic Properties Modulo Powers of 2 and 3 for Overpartition k-Tuples with Odd Parts. Bulletin of the Malaysian Mathematical Sciences Society, 49(3). Scopus. https://doi.org/10.1007/s40840-026-02113-6
dc.identifier.doihttps://link.springer.com/article/10.1007/s40840-026-02113-6
dc.identifier.issn0126-6705
dc.identifier.issn2180-4206
dc.identifier.urihttps://ir.ahduni.edu.in/handle/123456789/6885
dc.language.isoen
dc.publisherSpringer
dc.schoolSchool of Arts and Sciences
dc.sourceBulletin of the Malaysian Mathematical Sciences Society
dc.subjectArithmetic density
dc.subjectInteger partitions
dc.subjectModular forms
dc.subjectOverpartitions
dc.subjectRamanujan-type congruences
dc.titleArithmetic Properties Modulo Powers of 2 and 3 for Overpartition k-Tuples with Odd Parts
dc.typeJournal Article

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