Partitions with Non-Repeating Odd Parts and Q-Hypergeometric Identities

DOI10.1007/978-1-4419-6263-8_9zbMath1322.11106OpenAlexW764889MaRDI QIDQ3193073

Krishnaswami Alladi

Publication date: 14 October 2015

Published in: The Legacy of Alladi Ramakrishnan in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4419-6263-8_9

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elementary theory of partitions (11P81)

Related Items (8)

Congruences for partitions with odd parts distinct modulo 5 ⋮ A unifying combinatorial approach to refined little Göllnitz and Capparelli's companion identities ⋮ Analysis of a generalized Lebesgue identity in Ramanujan's lost notebook ⋮ New congruences modulo 5 and 9 for partitions with odd parts distinct ⋮ Arithmetic properties of partitions with odd parts distinct ⋮ On \((4, 5)\)-regular bipartitions with odd parts distinct ⋮ Multiranks and classical theta functions ⋮ Partitions with non-repeating odd parts and combinatorial identities

Cites Work

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• Arithmetic properties of partitions with odd parts distinct
• A bijective proof of a limiting case of Watson's \(_8\phi_7\) transformation formula
• A variation on a theme of Sylvester -- a smoother road to Göllnitz's (Big) theorem
• On the modified convergence of some continued fractions of Rogers- Ramanujan type
• Some observations on Dyson's new symmetries of partitions
• The \(q\)-variations of Sylvester's bijection between odd and strict partitions
• Two theorems of Gauss and allied identities proved arithmetically
• A NEW COMBINATORIAL STUDY OF THE ROGERS–FINE IDENTITY AND A RELATED PARTIAL THETA SERIES
• A combinatorial correspondence related to Göllnitz’ (big) partition theorem and applications
• Partition identities involving gaps and weights

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