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arXiv:math/0508537 [math.CO]AbstractReferencesReviewsResources

On a conjecture of Widom

Alexei Borodin, Alexei Novikov

Published 2005-08-26Version 1

We prove a conjecture of H.Widom stated in [W] (math/0108008) about the reality of eigenvalues of certain infinite matrices arising in asymptotic analysis of large Toeplitz determinants. As a byproduct we obtain a new proof of A.Okounkov's formula for the (determinantal) correlation functions of the Schur measures on partitions.

Comments: 9 pages
Categories: math.CO, math-ph, math.MP
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