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On a positivity property of the Riemann ξ-function

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Publication:4260430
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DOI10.4064/aa-89-3-217-234zbMath0928.11035OpenAlexW1490126868MaRDI QIDQ4260430

Jeffrey C. Lagarias

Publication date: 9 September 1999

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/207266


zbMATH Keywords

Riemann zeta-functionalgebraic number fieldMittag-Leffler expansionDedekind zeta-function


Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Zeta functions and (L)-functions of number fields (11R42) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)


Related Items (6)

Horizontal monotonicity of the modulus of the zeta function, L-functions, and related functions ⋮ Aspects of the screw function corresponding to the Riemann zeta‐function ⋮ Spectral zeta functions of graphs and the Riemann zeta function in the critical strip ⋮ The size of the Lerch zeta-function at places symmetric with respect to the line $\Re(s)=1/2$ ⋮ A test for the Riemann hypothesis ⋮ Computational strategies for the Riemann zeta function




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