scientific article; zbMATH DE number 5049120

zbMath1101.11031arXivmath/0412277MaRDI QIDQ5484061

Ralf Meyer

Publication date: 24 August 2006

Full work available at URL: https://arxiv.org/abs/math/0412277

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zbMATH Keywords

characterRiemann hypothesisexplicit formulaspectral interpretation of zeros

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear operators on function spaces (general) (47B38) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Distributions on infinite-dimensional spaces (46F25)

Related Items (6)

Mean-periodicity and zeta functions ⋮ Aspects of the screw function corresponding to the Riemann zeta‐function ⋮ On spectral theory of the Riemann zeta function ⋮ Bernoulli-Carlitz fractions and \(q\)-zeta operators ⋮ Hamiltonians arising from \(L\)-functions in the Selberg class ⋮ The search for a Hamiltonian whose energy spectrum coincides with the Riemann zeta zeroes

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