Proof of a Nonnegativity Conjecture of Merca

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dc.contributor.authorSaikia, Manjil P.
dc.date.accessioned2026-09-15T16:59:18Z
dc.date.issued2026-08-01
dc.description.abstractMerca recently studied the partitions of n in which no part appears d or more times, and connected an infinite family of linear inequalities related to these partitions to the nonnegativity of coefficients of a certain infinite series. In this paper, we prove Merca’s conjecture. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2026.
dc.identifier.citationSaikia, Manjil P, & Sarma, A. (2026). Proof of a Nonnegativity Conjecture of Merca. Results in Mathematics, 81(5). https://doi.org/10.1007/s00025-026-02678-5
dc.identifier.doihttps://link.springer.com/article/10.1007/s00025-026-02678-5
dc.identifier.issn1422-6383
dc.identifier.issn1420-9012
dc.identifier.urihttps://ir.ahduni.edu.in/handle/123456789/8085
dc.language.isoen
dc.publisherSpringer Nature
dc.schoolSchool of Arts and Sciences
dc.sourceResults in Mathematics
dc.subjectlinear Inequalities of Partitions
dc.subjectPartitions
dc.subjectq-Series
dc.titleProof of a Nonnegativity Conjecture of Merca
dc.typeJournal Article

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