Extensions and variations of Andrews–Merca identities

dc.contributor.authorNyirenda, Darlison
dc.contributor.authorMugwangwavari, Beaullah
dc.date.accessioned2025-12-11T09:01:50Z
dc.date.issued2023-07
dc.description.abstractRecently, Andrews and Merca have given a new combinatorial interpretation of the total number of even parts in all partitions of n into distinct parts. We generalise this result and consider many more variations of their work. We also highlight some connections with the work of Fu and Tang.
dc.description.sponsorshipUniversity of the Witwatersrand.
dc.description.submitterPM2025
dc.facultyFaculty of Science
dc.identifier0000-0001-8623-2213
dc.identifier.citationNyirenda, D., Mugwangwavari, B. Extensions and variations of Andrews–Merca identities. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 117, 149 (2023). https://doi.org/10.1007/s13398-023-01479-7
dc.identifier.issn1578-7303 (print)
dc.identifier.issn1579-1505 (online)
dc.identifier.other10.1007/s13398-023-01479-7
dc.identifier.urihttps://hdl.handle.net/10539/47821
dc.journal.titleRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofseriesVol. 117; a149
dc.rights© The Author(s) 2023. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License.
dc.schoolSchool of Mathematics
dc.subjectPartition
dc.subjectBijection
dc.subjectGenerating function
dc.subjectCongruence
dc.subject.primarysdgSDG-17: Partnerships for the goals
dc.titleExtensions and variations of Andrews–Merca identities
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
Nyirenda_Extensions_2023.pdf
Size:
266.29 KB
Format:
Adobe Portable Document Format

License bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
license.txt
Size:
2.43 KB
Format:
Item-specific license agreed upon to submission
Description: