Arithmetic properties of k-tuple ℓ-regular partitions

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dc.contributor.authorSaikia, Manjil P.
dc.date.accessioned2025-12-17T04:30:50Z
dc.date.available2025-12-17T04:30:50Z
dc.date.issued2025-11
dc.description.abstractIn this paper, we study arithmetic properties satisfied by the k-tuple ℓ-regular partitions. A k-tuple of partitions (ξ1,ξ2,…,ξk) is said to be ℓ-regular if all the ξi's are ℓ-regular. We study the cases (ℓ,k)=(2,3),(4,3),(ℓ,p), where p is a prime, and even the general case when both ℓ and k are unrestricted. Using elementary means as well as the theory of modular forms we prove several infinite family of congruences and density results for this family of partitions. © 2025 Elsevier Inc.
dc.identifier.citationNath, H., Saikia, M. P., & Sarma, A. (2025). Arithmetic properties of k-tuple ℓ-regular partitions. Journal of Mathematical Analysis and Applications, 551(2P1). https://doi.org/10.1016/j.jmaa.2025.129688
dc.identifier.doihttps://doi.org/10.1016/j.jmaa.2025.129688
dc.identifier.issn0022-247X
dc.identifier.issn1096-0813
dc.identifier.urihttps://ir.ahduni.edu.in/handle/123456789/6123
dc.language.isoen
dc.publisherElsevier B.V.
dc.schoolSchool of Arts and Sciences
dc.sourceJournal of Mathematical Analysis and Applications
dc.subjectInteger partitions
dc.subjectModular forms
dc.subjectRamanujan-type congruences
dc.subjectPartition Theory
dc.subjectArithmetic Properties
dc.titleArithmetic properties of k-tuple ℓ-regular partitions
dc.typeJournal Article

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