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edited Apr 13, 2017 at 12:58

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I don't think that there is a closed-form expression, but there are some research results on the asymptotic behavior of eigenvalues of symmetric Toeplitz matrices: see the comments to Spectra of a Symmetric Toeplitz Operator Spectra of a Symmetric Toeplitz Operator for instance.

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created Mar 25, 2015 at 13:04

Federico Poloni

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I don't think that there is a closed-form expression, but there are some research results on the asymptotic behavior of eigenvalues of symmetric Toeplitz matrices: see the comments to Spectra of a Symmetric Toeplitz Operator for instance.