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

DOI10.1016/j.jat.2011.12.002zbMath1268.11086arXiv1008.0499OpenAlexW2023155479MaRDI QIDQ765821

Nikolai N. Tarkhanov, Paul M. Gauthier

Publication date: 22 March 2012

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.0499

zbMATH Keywords

approximationzeta-functions of curves over finite fields

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Curves over finite and local fields (11G20) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (1)

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

Cites Work

• Approximation of and by the Riemann zeta-function
• The Riemann zeta-function. Transl. from the Russian by Neal Koblitz
• Small perturbations of the Riemann zeta function and their zeros
• Perturbations of L-functions with or without non-trivial zeros off the critical line
• Approximation by the Riemann zeta-function
• Abelian Surfaces over Finite Fields as Jacobians
• Simultaneous Interpolation and Approximation in Topological Linear Spaces
• Abelian varieties over finite fields
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