Abstract
We study the asymptotics in $n$ for $n$dimensional Toeplitz determinants whose symbols possess FisherHartwig singularities on a smooth background. We prove the general nondegenerate asymptotic behavior as conjectured by Basor and Tracy. We also obtain asymptotics of Hankel determinants on a finite interval as well as determinants of Toeplitz+Hankel type. Our analysis is based on a study of the related system of orthogonal polynomials on the unit circle using the RiemannHilbert approach.

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