Number Theory

    

A Proof of Riemann Hypothesis by the Angle Preserving Property of An Analytic Complex Function

Authors: Tae Beom Lee

The Riemann zeta function(RZF) is a function of a complex variable s=x+iy, which is analytic for x>1. The Dirichlet Eta Function(DEF) is also a function of a complex variable s, which is analytic for x>0. The zeros of RZF and DEF are all same. The Riemann hypothesis(RH) states that the non-trivial zeros of RZF is of the form s=0.5+iy. The clue of our proof stems from the symmetry properties of RZF zeros. The two zeros should be on the two edge lines of a strip. But, the parallel two edge lines can’t intersect at the origin, when mapped by DEF. So, RH is true.

Comments: 4 Pages.

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Submission history

[v1] 2022-09-02 01:02:02

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