## Analysis of Riemann's Hypothesis

**Authors:** John Atwell Moody

Let p(c,r,v)=e^{(c-1)(r+2v)} log({{\lambda(r+v)}\over{q(r+v)}}) log({{\lambda(v)}\over{q(v)}}),
f(c,r)=\int_{-\infty}^\infty p(c,r,v)+p(c,-r,v) dv. Let c be a real number such that 0 Suppose that

f(c,r)<0 and {{\partial}\over{\partial r}}f(c,r)>0 for all $r\ge 0$
while {{\partial}\over{\partial c}}f(c,r)<0 and {{\partial^2}\over {\partial c \partial r}}f(c,r)>0 for all r>0.

Then \zeta(c+i\omega) \ne 0 for all \omega.

**Comments:** 8 Pages.

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### Submission history

[v1] 2018-03-19 20:47:26

[v2] 2018-03-21 05:39:58 (removed)

[v3] 2018-03-21 12:07:10 (removed)

[v4] 2018-03-25 10:26:57 (removed)

[v5] 2018-03-26 10:03:25 (removed)

[v6] 2018-03-27 20:41:31

[v7] 2018-03-29 11:56:33 (removed)

[v8] 2018-04-01 05:34:17 (removed)

[v9] 2018-04-04 16:25:09 (removed)

[vA] 2018-04-05 11:52:42 (removed)

[vB] 2018-04-06 12:23:48

[vC] 2018-04-08 04:55:12

[vD] 2018-04-09 06:07:22

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