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Proof of a conjecture involving derangements and roots of unity

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Publication:2699649
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DOI10.37236/11377OpenAlexW4362701026WikidataQ122972183 ScholiaQ122972183MaRDI QIDQ2699649

Yanyan Li

Publication date: 19 April 2023

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.02589


zbMATH Keywords

derangementeigenvector-eigenvalue identity


Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Exponential and trigonometric functions (33B10) Matrices, determinants in number theory (11C20)


Related Items (1)

On some Toeplitz-type matrices over finite fields




Cites Work

  • Unnamed Item
  • Some Diophantine relations involving circular functions of rational angles
  • Generating functions and generalized Dedekind sums.
  • Eigenvectors from eigenvalues: A survey of a basic identity in linear algebra




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