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On the Distribution of the Roots of Certain Symmetric Matrices

Wigner, Eugene P.·1958·The Annals of Mathematics

Abstract

The present article is concerned with the distribution of the latent roots (characteristic values) of certain sets of real symmetric matrices of very high dimensionality. Its purpose is to point out that the distribution law obtained before' for a very special set of matrices is valid for much more general sets. The dimension of the matrices will be denoted by N, the matrix elements by via. These are real. The condition of symmetry is

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Metadata

Authors
Wigner, E. P.
Venue
The Annals of Mathematics
Publisher
JSTOR
Published
1958-03
Volume
67
Issue
2
Pages
325
ISSN
0003-486X (ISSN-L)
OpenAlex
W2328187444
Cited by
1,463
References
0
FWCI
2.93
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: On the Distribution of the Roots of Certain Symmetric Matrices. https://app.cochat.ai/papers/10.2307/1970008
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Wigner, E. P. (1958). On the Distribution of the Roots of Certain Symmetric Matrices. The Annals of Mathematics. https://doi.org/10.2307/1970008

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.