Some New Results on Partitions

DOI10.1073/pnas.34.12.616zbMath0031.34801OpenAlexW2086945789WikidataQ33749840 ScholiaQ33749840MaRDI QIDQ5788196

N. J. Fine

Publication date: 1948

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.34.12.616

zbMATH Keywords

Number theory

Mathematics Subject Classification ID

Elementary theory of partitions (11P81)

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Ramanujan's lost notebook. V: Euler's partition identity ⋮ A bijection for Lebesgue's partition identity in the spirit of Sylvester ⋮ Partition congruences by involutions ⋮ Partition bijections, a survey ⋮ Weighted forms of Euler's theorem ⋮ A generalization of Sylvester's identity ⋮ On flushed partitions and concave compositions ⋮ Partition identities related to the minimal excludant ⋮ Unnamed Item ⋮ A FINE DREAM ⋮ Euler's partition theorem and the combinatorics of \(\ell \)-sequences ⋮ A Franklin type involution for squares ⋮ A partial theta identity of Ramanujan and its number-theoretic interpretation ⋮ The \(q\)-variations of Sylvester's bijection between odd and strict partitions ⋮ Ramanujan's lost notebook: combinatorial proofs of identities associated with Heine's transformation or partial theta functions ⋮ BIJECTIVE PROOFS OF A THEOREM OF FINE AND RELATED PARTITION IDENTITIES ⋮ A lecture Hall theorem for \(m\)-falling partitions ⋮ Two theorems of Gauss and allied identities proved arithmetically ⋮ Partition identities ⋮ A NEW REFINEMENT OF FINE’S PARTITION THEOREM

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