Complex Zeros in Riemann Zeta Function: Is it Possible?

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The discussion centers on the possibility of finding two complex zeros of the Riemann Zeta function that lie off the critical strip but share the same imaginary part. Participants express confusion about the implications of such zeros and their relation to the Riemann Hypothesis (RH), which asserts that all nontrivial zeros lie on the critical line. There is debate over the existence of zeros outside the critical strip, with some asserting that all known zeros are trivial and real. The conversation also touches on the complexities of proving or disproving the RH and the need for rigorous mathematical proof rather than speculation. Overall, the thread highlights the ongoing challenges and discussions surrounding the Riemann Zeta function and the RH.
  • #31
Your math page requires a password and username, I am very skeptical as to joining a commercial site, especially if I'm unsure of the content.

When you say zeta(s-1/2) on the critical strip, do you mean when 1 > re s > 0 or when 1 > s-1/2 > 0 ?

Also if you show that zeta(s) is a zero in the critical strip, then you've already shown that zeta(1-s) is one.

If your proof is so simple, you should write it here.
 
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  • #32
solamon please, and I'm not saying it because I'm bad, and i don't want to hurt anyone, but please- SHUT UP!

p.s. please lock this thread.
 

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