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Please use this identifier to cite or link to this item: https://dspace.iiti.ac.in/handle/123456789/10607
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dc.contributor.authorEyyunni, PramodMaji, Bibekanandaen_US
dc.date.accessioned2022-07-19T14:17:03Z-
dc.date.available2022-07-19T14:17:03Z-
dc.date.issued2022-
dc.identifier.citationKaur, P. S., Bhoria, S. C., Eyyunni, P., & Maji, B. (2022). Minimal excludant over partitions into distinct parts. International Journal of Number Theory, 1–14. https://doi.org/10.1142/S1793042122501032en_US
dc.identifier.issn1793-0421-
dc.identifier.otherEID(2-s2.0-85133533663)-
dc.identifier.urihttps://doi.org/10.1142/S1793042122501032-
dc.identifier.urihttps://dspace.iiti.ac.in/handle/123456789/10607-
dc.description.abstractThe average size of the "smallest gap"of a partition was studied by Grabner and Knopfmacher in 2006. Recently, Andrews and Newman, motivated by the work of Fraenkel and Peled, studied the concept of the "smallest gap"under the name "minimal excludant"of a partition and rediscovered a result of Grabner and Knopfmacher. In this paper, we study the sum of the minimal excludants over partitions into distinct parts, and interestingly we observe that it has a nice connection with Ramanujan's function σ(q). As an application, we derive a stronger version of a result of Uncu. © 2022 World Scientific Publishing Company.en_US
dc.language.isoenen_US
dc.publisherWorld Scientificen_US
dc.sourceInternational Journal of Number Theoryen_US
dc.titleMinimal excludant over partitions into distinct partsen_US
dc.typeJournal Articleen_US
dc.rights.licenseAll Open Access, Green-
Appears in Collections:Department of Mathematics

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