The Laguerre inequalities and the zeros of the Riemann ξ-function

DOI10.1080/17476930903394820zbMath1221.30068OpenAlexW2070807118MaRDI QIDQ3168677

George Csordas

Publication date: 19 April 2011

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930903394820

zbMATH Keywords

Riemann hypothesisRiemann \(\xi\)-functionzeros of Fourier transformsJacobi \(\theta\)-function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Roundoff error (65G50) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Convexity of real functions in one variable, generalizations (26A51) Representations of entire functions of one complex variable by series and integrals (30D10) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (1)

Fourier transforms of positive definite kernels and the Riemann \(\xi\)-function

Cites Work

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• The zeros of derivatives of entire functions and the Pólya-Wiman conjecture
• Moment inequalities and the Riemann hypothesis
• Necessary and sufficient conditions and the Riemann hypothesis
• A lower bound for the de Bruijn-Newman constant \(\Lambda\)
• On the number of nonreal zeros of real entire functions and the Fourier-Pólya conjecture
• The roots of trigonometric integrals

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