Proof of Riemann's Hypothesis

Nonfiction, Science & Nature, Mathematics, Trigonometry
Cover of the book Proof of Riemann's Hypothesis by James Constant, James Constant
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Author: James Constant ISBN: 9781310069765
Publisher: James Constant Publication: February 13, 2015
Imprint: Smashwords Edition Language: English
Author: James Constant
ISBN: 9781310069765
Publisher: James Constant
Publication: February 13, 2015
Imprint: Smashwords Edition
Language: English

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.

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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.

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