Symmetry and the Zeros of Riemann's Zeta Function: Two finite mirror image vector series restrict the nontrivial zeros of Riemann's zeta function to the critical line and the zeros of its derivative to its right.
Author:   Anthony D Lander
Publisher:   Createspace Independent Publishing Platform
ISBN:  

9781986074148


Pages:   136
Publication Date:   06 March 2018
Format:   Paperback
Availability:   Available To Order   Availability explained
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Symmetry and the Zeros of Riemann's Zeta Function: Two finite mirror image vector series restrict the nontrivial zeros of Riemann's zeta function to the critical line and the zeros of its derivative to its right.


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Overview

"The famous ""nontrivial zeros"" are a set of complex numbers that produce zero when given to Riemann's zeta function. This set of numbers influences the distribution of the prime numbers. The nontrivial zeros therefore lie at the very heart of mathematics, since every integer greater than 1 is a unique product of primes. Riemann's hypothesis is that the real part of each nontrivial zero is a half. The author, Anthony Lander, is a paediatric surgeon and not a mathematician. However, Anthony has had a longstanding interest in symmetry and symmetry breaking in biological systems. He came across Riemann's hypothesis in 2012 and believes that a symmetry evident in Euler's zeta underlies the truth of Riemann's hypothesis and why the zeros repel."

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