Proof of Riemann's Hypothesis

ebook Mathematics

By James Constant

cover image of Proof of Riemann's Hypothesis

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It has already been shown that all zeros are in the critical strip and that they are symmetric about the critical line. I make several assumptions and show that all zeros are on the critical line and that Riemann's functional equation presents a problem. The assumptions are, first, that Riemann's zeta function is single valued at each point of the critical strip (it is not), second, Riemann's functional equation necessarily and sufficiently sets zeroes in the critical strip (it does not) and, third, Euler's product of primes is valid in the critical strip.

Proof of Riemann's Hypothesis