A refinement of the alladi–schur theorem

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Abstract

K. Alladi first observed a variant of I. Schur’s 1926 partition theorem. Namely, the number of partitions of n in which all parts are odd and none appears more than twice equals the number of partitions of n in which all parts differ by at least 3 and more than 3 if one of the parts is a multiple of 3. In this paper, we refine this result to one that counts the number of parts in the relevant partitions.

Original languageEnglish (US)
Title of host publicationDevelopments in Mathematics
PublisherSpringer New York LLC
Pages71-77
Number of pages7
DOIs
StatePublished - Jan 1 2019

Publication series

NameDevelopments in Mathematics
Volume58
ISSN (Print)1389-2177

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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  • Cite this

    Andrews, G. E. (2019). A refinement of the alladi–schur theorem. In Developments in Mathematics (pp. 71-77). (Developments in Mathematics; Vol. 58). Springer New York LLC. https://doi.org/10.1007/978-3-030-11102-1_5