Number Theory

    

The Riemann Hypothesis

Authors: Bertrand Wong

The Riemann hypothesis is an important outstanding problem in number theory as its validity will affirm the manner of the distribution of the prime numbers. It posits that all the non-trivial zeros of the zeta function ζ lie on the critical strip between Re(s) = 0 and Re(s) = 1 at the critical line Re(s) = 1/2. The important question is whether there would be zeros appearing at other locations on this critical strip, e.g., at Re(s) = 1/4, 1/3, 3/4, or, 4/5, etc., which would disprove the Riemann hypothesis. This paper provides an indirect proof or proof by contradiction (reductio ad absurdum) of the Riemann hypothesis.

Comments: 5 Pages.

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Submission history

[v1] 2014-01-19 05:01:17
[v2] 2014-03-21 10:05:26
[v3] 2014-12-28 00:07:33
[v4] 2015-07-28 08:48:19

Unique-IP document downloads: 949 times

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