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**New Theories / Re: What makes Riemann's Hypothesis Hard to Prove?**

« **on:**

**Today**at 14:36:42 »

Here's how the plot evolve when the constant is a reciprocal of an integer.

https://www.wolframalpha.com/input?i=plot+re%28log%28zeta%28x%2B+2+pi+i%29+%2F%28Zeta%281-x%2B+2+pi+i%29%29%29%29+%2B1%2F234+%28x%29%28x-0.5%29%28x-1%29+++from+-0.4++to+1.4

https://www.wolframalpha.com/input?i=plot+re%28log%28zeta%28x%2B+2+pi+i%29+%2F%28Zeta%281-x%2B+2+pi+i%29%29%29%29+%2B1%2F235+%28x%29%28x-0.5%29%28x-1%29+++from+-0.4++to+1.4

https://www.wolframalpha.com/input?i=plot+re%28log%28zeta%28x%2B+2+pi+i%29+%2F%28Zeta%281-x%2B+2+pi+i%29%29%29%29+%2B1%2F236+%28x%29%28x-0.5%29%28x-1%29+++from+-0.4++to+1.4

https://www.wolframalpha.com/input?i=plot+re%28log%28zeta%28x%2B+2+pi+i%29+%2F%28Zeta%281-x%2B+2+pi+i%29%29%29%29+%2B1%2F237+%28x%29%28x-0.5%29%28x-1%29+++from+-0.4++to+1.4

https://www.wolframalpha.com/input?i=plot+re%28log%28zeta%28x%2B+2+pi+i%29+%2F%28Zeta%281-x%2B+2+pi+i%29%29%29%29+%2B1%2F238+%28x%29%28x-0.5%29%28x-1%29+++from+-0.4++to+1.4

https://www.wolframalpha.com/input?i=plot+re%28log%28zeta%28x%2B+2+pi+i%29+%2F%28Zeta%281-x%2B+2+pi+i%29%29%29%29+%2B1%2F234+%28x%29%28x-0.5%29%28x-1%29+++from+-0.4++to+1.4

https://www.wolframalpha.com/input?i=plot+re%28log%28zeta%28x%2B+2+pi+i%29+%2F%28Zeta%281-x%2B+2+pi+i%29%29%29%29+%2B1%2F235+%28x%29%28x-0.5%29%28x-1%29+++from+-0.4++to+1.4

https://www.wolframalpha.com/input?i=plot+re%28log%28zeta%28x%2B+2+pi+i%29+%2F%28Zeta%281-x%2B+2+pi+i%29%29%29%29+%2B1%2F236+%28x%29%28x-0.5%29%28x-1%29+++from+-0.4++to+1.4

https://www.wolframalpha.com/input?i=plot+re%28log%28zeta%28x%2B+2+pi+i%29+%2F%28Zeta%281-x%2B+2+pi+i%29%29%29%29+%2B1%2F237+%28x%29%28x-0.5%29%28x-1%29+++from+-0.4++to+1.4

https://www.wolframalpha.com/input?i=plot+re%28log%28zeta%28x%2B+2+pi+i%29+%2F%28Zeta%281-x%2B+2+pi+i%29%29%29%29+%2B1%2F238+%28x%29%28x-0.5%29%28x-1%29+++from+-0.4++to+1.4