The Riemann Hypothesis and Holomorphic Index in Complex Dynamics

DOI10.1080/10586458.2016.1217443zbMath1441.11215arXiv1602.06843OpenAlexW3106376134MaRDI QIDQ5374127

Tomoki Kawahira

Publication date: 9 April 2018

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.06843

zbMATH Keywords

Riemann hypothesiscomplex dynamicsholomorphic index

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Dynamical systems over complex numbers (37F99)

Cites Work

• A zero-density theorem for the Riemann zeta-function
• Immediate and virtual basins of Newton's method for entire functions.
• Arithmetic Equivalent of Essential Simplicity of Zeta Zeros
• Iteration of meromorphic functions
• Chebyshev's Bias
• Dynamics in One Complex Variable. (AM-160)
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