Number Theory


The Admissible Domain of the Non-Trivial Zeros of the Riemann Zeta Function

Authors: Yuri Heymann

In the present study we used the Dirichlet eta function as an extension of the Riemann zeta function in the strip Re(s) in ]0, 1[. We then determined the domain of admissible complex zeros of the Riemann zeta function in this strip using minimal constraints and the symmetries of the function. We also checked for zeros outside this strip. We found that the admissible domain of complex zeros excluding the trivial zeros is the critical line given by Re(s) = 1/2 as stated in the Riemann hypothesis.

Comments: 23 Pages.

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Submission history

[v1] 2018-03-19 06:45:58
[v2] 2018-04-03 05:24:57 (removed)
[v3] 2018-04-09 12:03:56 (removed)
[v4] 2018-05-03 05:16:57

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