Zeros of non-Baxter paraorthogonal polynomials on the unit circle
arXiv:1005.5192
Abstract
We provide leading order asymptotics for the size of the gap in the zeros around 1 of paraothogonal polynomials on the unit circle whose Verblunsky coefficients satisfy a slow decay condition and are inside the interval (-1,0). We also include related results that impose less restrictive conditions on the Verblunsky coefficients.
13 pages, 1 figure; Version 2 corrects several typos and includes a mild rephrasing of part of the proof of the main theorem