Explicit zero-free regions for the Riemann zeta-function — mentioned by gavagai691

Tue, 04 Jun 2024 21:22:16 GMT

"It has been proved all the zeroes are within a narrow strip centred on the line and you can make the strip as arbitrarily narrow as you like." Nothing close to this is known. The nontrivial zeros of zeta lie within the critical strip, i.e., 0 <= Re(s) <= 1 (in analytic number theory, the convention, going back to Riemann's paper is to write a complex variable as s = sigma + it)*. The Riemann Hypothesis states that all zeros of zeta are on the line Re(s) = 1/2. The functional equation implies that the zeros of zeta are symmetric about the line Re(s) = 1/2. Consequently, RH is equivalent to…

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Explicit zero-free regions for the Riemann zeta-function · HackerPapers discussions

Explicit zero-free regions for the Riemann zeta-function — mentioned by gavagai691