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We study the asymptotics in n for n-dimensional Toeplitz determinants whose symbols possess Fisher-Hartwig singularities on a smooth background.
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J. Baik and E. M. Rains. Algebraic aspects of increasing subsequences. Duke Math. J. 109
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E. L. Basor and T. Ehrhardt. Asymptotic formulas for determinants of a sum of finite Toeplitz and Hankel matrices. Math. Nachr. 228
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T. Ehrhardt. A status report on the asymptotic behavior of Toeplitz determinants with Fisher-Hartwig singularities. Operator Theory: Adv. Appl. 124
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E. L. Basor and T. Ehrhardt. Some identities for determinants of structured matrices. Special issue on structured and infinite systems of linear equations. Linear Algebra Appl. 343/344
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I. V. Krasovsky. Correlations of the characteristic polynomials in the Gaussian Unitary Ensemble or a singular Hankel determinant. Duke Math. J. 139
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H. M. Bui and J. P. Keating. On the mean values of L L -functions in orthogonal and symplectic families. Proc. London Math. Soc. (3) 96
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A. A. Ovchinnikov. Fisher-Hartwig conjecture and the correlators in the inpenetrable Bose gas. Phys. Lett. A 373
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P. J. Forrester, N. E. Frankel. Applications and generalizations of Fisher-Hartwig asymptotics. J. Math. Phys. 45
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