The Riemann hypothesis for polynomials orthogonal on the unit circle
Abstract
An axiomatic treatment is given for certain Hilbert spaces of polynomials. A result of G. Szego on asymptotic limits of orthogonal polynomials on the unit circle is extended under the assumption of a quantum positivity condition. An interpretation of the convergence of the Euler product for the zeta-function of a function field with finite constants field is given.
Degree
Ph.D.
Advisors
Branges, Purdue University.
Subject Area
Mathematics
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