The Riemann hypothesis for Hilbert spaces of entire functions

DOI10.1090/S0273-0979-1986-15429-7zbMath0602.10028MaRDI QIDQ3737507

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Publication date: 1986

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

scattering theoryRiemann hypothesisLaplacianHilbert spaces of entire functionsHilbert spaces of automorphic functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Modular and automorphic functions (11F03) Scattering theory of linear operators (47A40)

Related Items (7)

The Zero-Removing Property and Lagrange-Type Interpolation Series ⋮ Unnamed Item ⋮ Prolate spheroidal wave functions, Sonine spaces, and the Riemann zeta function ⋮ The convergence of Euler products ⋮ An adelic causality problem related to abelian \(L\)-functions. ⋮ On Weil's explicit formula ⋮ Relation between primes and nontrivial zeros in the Riemann hypothesis; Legendre polynomials, modified zeta function and Schrödinger equation

Cites Work

• Modular spaces of entire functions
• Coefficients of modular forms
• Some Properties of the Fourier-Transform on Semisimple Lie Groups. III
• Scattering Theory for Automorphic Functions. (AM-87)

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