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The Riemann hypothesis illuminated by the Newton flow of ζ
This article analyzes the Newton flow of the Riemann zeta function and rederives in an elementary way the Riemann-von Mangoldt estimate of the number of non-trivial zeros below a given imaginary part.
Date:
October 1, 2015
Creator:
Neuberger, J. W.; Feiler, C.; Maier, H. & Schleich, W. P.
System:
The UNT Digital Library
Newton flow of the Riemann zeta function: separatrices control the appearance of zeros
This article applies the continuous Newton method to the Riemann zeta function and discusses the emerging patterns emphasizing especially the structuring of the non-trivial zeros by the separatrices.
Date:
October 14, 2014
Creator:
Neuberger, J. W.; Feiler, C.; Llopis, A.; Maier, H. & Schleich, W. P.
System:
The UNT Digital Library