Authors: Stephen Crowley
It is conjectured that argζ(1/2+i t_n)=S_n(t_n)=π(3/2-frac((ϑ(t_n))/π)-⌊g~^(-1)(n)⌋-n) where g~^(-1)(t)=(t ln(t/(2 π e)))/(2 π)+7/8 is the inverse of g~(n)=((8n-7)π)/(4 W((8n-7)/(8 e))) which accurately approximates the Gram points g(n) and that all of the non-trivial zeros of ζ, enumerated by n, are on the critical line. Therefore, if S(t)=S_n(t_n) then the exact transcendental equation for the Riemann zeros has a solution for each positive integer n which proves that Riemann's hypothesis is true since the counting function for zeros on the critical line is equal to the counting function for zeros on the critical strip if the transcendental equation has a solution for each n.
Comments: 6 Pages.
Unique-IP document downloads: 25 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.