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New Theories / Re: What makes Riemann's Hypothesis Hard to Prove?
« on: Today at 06:12:36 »
Here's a modification from Y function, by using division instead of subtraction.
https://www.wolframalpha.com/input?i=plot+log%28%28zeta%28x%2B550.01i%29%29+%2F+%28Zeta%281-x%2B550.01i%29%29%29from+-20+to+21
https://www.wolframalpha.com/input?i=plot+log%28%28zeta%28x%2B550.01i%29%29+%2F+%28Zeta%281-x%2B550.01i%29%29%29from+0+to+1
Let's call it backlash function, for how it looks like. Note that at Re(s) =0.5, the value of backlash function is 0. It implies that zeta(s)/zeta(1-s*) at that point.
https://www.wolframalpha.com/input?i=plot+log%28%28zeta%28x%2B550.01i%29%29+%2F+%28Zeta%281-x%2B550.01i%29%29%29from+-20+to+21
https://www.wolframalpha.com/input?i=plot+log%28%28zeta%28x%2B550.01i%29%29+%2F+%28Zeta%281-x%2B550.01i%29%29%29from+0+to+1
Let's call it backlash function, for how it looks like. Note that at Re(s) =0.5, the value of backlash function is 0. It implies that zeta(s)/zeta(1-s*) at that point.