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Research Article

The eigenvectors-eigenvalues identity and Sun's conjectures on determinants and permanents

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Pages 1071-1077 | Received 15 Jul 2022, Accepted 12 Sep 2022, Published online: 31 Jan 2023

References

  • Sun Z-W. On some determinants with Legendre symbol entries. Finite Fields Appl. 2019;56:285–307.
  • Sun Z-W. On some determinants involving the tangent function. Available from: arXiv:1901.04837.
  • Sun Z-W. Permuations of {1,…,n} and related topics. J Algebraic Combin. in press. Available from: arXiv:1811.10503.
  • Sun Z-W. Arithmetic properties of some permanents. Available from: arxiv:2108.07723.
  • Denton PB, Parke SJ, Tao T, et al. Eigenvectors from eigenvalues: a survey of a basic identity in linear algebra. Bull Am Math Soc. 59(1):31–58.
  • Calogero F, Perelomov AM. Some diophantine relations involving circular functions of rational angles. Lin Alg Appl. 1979;25:91–94.
  • Wang H, Sun Z-W. Proof of a conjecture involving derangements and roots of unity. Available from: arxiv:2206.02589v3.
  • Liu K. Generalization and another proof of two conjectural identities posed by Sun. Available from: arXiv:2206.05021.

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