2 problems

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Simon's higher-order Szegő sum-rule conjecture
Let $w$ be the density of the absolutely continuous part of a measure on the unit circle, let $\alpha=(\alpha_n)_{n\geq 0}$ be its Verblunsky-coefficient sequence, and let $S$ be t…
Conjecturesolvedorthogonal-polynomials spectral-theory szego-theoremsarXiv posted 2 days ago
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Modified higher-order Szegő conjecture for orthogonal polynomials on the unit circle
Modified higher-order Szegő conjecture. The weighted logarithmic integrability condition
Conjecturesolvedorthogonal-polynomials szego-theorems unit-circlearXiv posted 2 days ago

Simon's higher-order Szegő sum-rule conjecture