General Mathematics


A Proof of the RIemann Hypothesisv6

Authors: A. A. Logan

This paper investigates the characteristics of the power series representation of the Riemann Xi function. A detailed investigation of the behaviour of the zeros of the real part of the power series (considering the series as potentially the addition of multiple series) and the behaviour of the curve, combined with a substitution of polar coordinates in the power series and in the definition of the critical strip (leading to a critical area), and the relationship with the zeros of the imaginary part of the power series leads to the conclusion that the Riemann Xi function only has real zeros.

Comments: 7 Pages, 13 Figures Amendments - Additional material on nature of potential complex zeros and additional para on absolute convergence of xi power series

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Submission history

[v1] 2018-02-10 08:53:59
[v2] 2018-03-20 18:44:12
[v3] 2018-05-09 13:18:41
[v4] 2018-05-22 08:34:32
[v5] 2018-06-05 10:36:48
[v6] 2018-06-13 16:37:43

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