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The generalized determinant and its application to the enumeration of permutations

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Publication:2403638
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DOI10.17377/semi.2017.14.033zbMath1369.05005MaRDI QIDQ2403638

Dmitry Borisovich Efimov

Publication date: 11 September 2017

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)


zbMATH Keywords

determinantpermanentrestricted permutationsalgebras with nilpotent generators


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05)




Cites Work

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  • \(\Phi\)-harmonic functions on discrete groups and the first \(\ell^\Phi\)-cohomology
  • Rough isometries and the parabolicity of Riemannian manifolds
  • \(p\)-harmonic functions on graphs and manifolds
  • A new proof of Gromov’s theorem on groups of polynomial growth
  • Mathematical analysis II. Transl. from the 4th Russian edition by Roger Cooke
  • Matrix factorizations of determinants and permanents
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