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Binomial transforms and integer partitions into parts of \(k\) different magnitudes

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Publication:1656810
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DOI10.1007/s11139-017-9913-6zbMath1397.05019OpenAlexW2629471879MaRDI QIDQ1656810

Mircea Merca

Publication date: 10 August 2018

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-017-9913-6

zbMATH Keywords

symplectic groupinteger partitionsbinomial transform


Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17)




Cites Work

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  • The truncated pentagonal number theorem
  • A truncated Jacobi triple product theorem
  • Proofs of two conjectures on truncated series
  • Bilateral truncated Jacobi's identity
  • A note on the partitions involving parts of \(k\) different magnitudes
  • A probabilistic approach toward conjugacy classes in the finite general linear and unitary groups
  • Stacked lattice boxes
  • A probabilistic approach to conjugacy classes in the finite symplectic and orthogonal groups
  • Two truncated identities of Gauss
  • Lambert series and conjugacy classes in \(\mathrm{GL}\)
  • Random matrix theory over finite fields
  • On the Distribution of Class Groups of Number Fields
  • Numbers of conjugacy classes in some finite classical groups
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