On the instability of the Riemann hypothesis for varieties over finite fields

DOI10.3103/S106836231203003XzbMath1302.11070OpenAlexW1997397447MaRDI QIDQ471281

Paul M. Gauthier, Fabrizio Donzelli

Publication date: 14 November 2014

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s106836231203003x

zbMATH Keywords

zeta-function

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Zeta and (L)-functions: analytic theory (11M99) Universal holomorphic functions of one complex variable (30K99)

Cites Work

• Approximation of and by the Riemann zeta-function
• On the instability of the Riemann hypothesis for curves over finite fields
• On the Selberg class of Dirichlet series: Small degrees
• Arakelian's Approximation Theorem
• Refutation of an analogue of the Riemann hypothesis about zeros for an arbitrarily sharp approximation of the zeta-function satisfying the same functional equation
• Simultaneous Approximation and Interpolation on Arakelian Sets

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