The Riemann Hypothesis for Polynomials Orthogonal on the Unit Circle

DOI10.1002/mana.19941660118zbMath0843.30009OpenAlexW4233328156MaRDI QIDQ4845784

Xian-Jin Li

Publication date: 17 September 1995

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19941660118

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (9)

Applications of de Branges Spaces of Vector-Valued Functions ⋮ On tangential \(H_ 2\) interpolation with second order norm constraints ⋮ Szegő polynomials and the truncated trigonometric moment problem ⋮ Trace formulas for a class of truncated block Toeplitz operators ⋮ On Reproducing Kernel Hilbert Spaces of Polynomials ⋮ Prolate spheroidal wave functions, Sonine spaces, and the Riemann zeta function ⋮ On the reproducing kernel of a Pontryagin space of vector valued polynomials ⋮ On Weil's explicit formula ⋮ A structure theorem for reproducing kernel Pontryagin spaces

Cites Work

• Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes. Erhard Schmidt zum 75. Geburtstag in Verehrung gewidmet

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