Li coefficients as norms of functions in a model space

DOI10.1016/j.jnt.2023.05.007arXiv2301.05779OpenAlexW4382542514MaRDI QIDQ6166736

Masatoshi Suzuki

Publication date: 3 August 2023

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.05779

zbMATH Keywords

Riemann zeta-functionRiemann hypothesisLi coefficients

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) 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 (1)

Aspects of the screw function corresponding to the Riemann zeta‐function

Cites Work

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• Complements to Li's criterion for the Riemann Hypothesis
• The positivity of a sequence of numbers and the Riemann hypothesis
• Remarks on Weil's quadratic functional in the theory of prime numbers. I
• Schrödinger operators and de Branges spaces.
• Introduction to Model Spaces and their Operators
• Model spaces: A survey
• Admissible Majorants for Model Subspaces of H², Part I: Slow Winding of the Generating Inner Function
• Meromorphic Inner Functions, Toeplitz Kernels and the Uncertainty Principle

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