## Intuitive Explanation of the Riemann Hypothesis

**Authors:** John Atwell Moody

Let \alpha be the unique \Gamma(2) invariant form on H with a pole of residue 1 at i\infty and one of residue -1 at 1. The ratio [\alpha: i\pi dtau] tends to 1 at the upper limit of [0,i\infty). Let \mu_{pm}:TxH->H be the action of multiplying by \sqrt{g} and {1\over{\sqrt{g}} for g in the connected real multiplicative group T. For each real c in (0,1) and each unitary character \omega, the form g^{2-2c}\omega(g)\mu_+^*(\alpha-\pi d\tau)\wedge \mu_-^*)\alpha-i\pi d\tau is exact if and only if \zeta(c+i\omega_0)=0 where \omega_0 is chosen such that \omega(g)=g^{i\omega_0}.
The rate of change of the magnitude is given by an integral involving a unitary character. Conjecturally the rate seminegative on the region 0
The form descends to the real projective line, it is locally meromorphic there with one pole and integrates to \pi e^{i\pi ({3\over 2}s + 1}. The value \zeta(s)=0 if and only if the integral along the arc from 0 to \infty not passing 1 is zero. This implies the arc passing through 1 equals a residue. We begin to relate the equality with the condition Re(s)=1/2.

**Comments:** 14 Pages.

**Download:** **PDF**

### Submission history

[v1] 2018-04-20 03:14:35

[v2] 2018-04-20 14:12:33

[v3] 2018-04-21 05:08:23

[v4] 2018-04-23 14:20:11

[v5] 2018-04-24 16:07:40

[v6] 2018-04-29 20:28:18

[v7] 2018-05-05 14:16:48

[v8] 2018-06-06 04:30:05

**Unique-IP document downloads:** 49 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.*

*
*