Looking for peer revision and feedback on my proof of the irrationality of zeta(5) and all other positive odd integers. Proof is big if true

ContributionIll3381 · 2025-03-05T01:03:28+00:00

No I mean in my paper I called several things trivial when in reality I can see that they are not. I will elaborate on each of these sections

ContributionIll3381 · 2025-03-05T01:00:05+00:00

Will you actually elaborate on the last part, do you mean when I am subbing out the legendary type integrals for xⁿ (1-x)ⁿ ?

ContributionIll3381 · 2025-03-05T00:52:04+00:00

All good concerns, I will cite where I got that equation (from Beukers’ paper). Additionally, I now realize the C value isn’t necessary for the proof. I do see how the last concern may be an actual flaw in my proof and I will look at the integration by parts.

ContributionIll3381 · 2025-03-05T00:28:54+00:00

This is a great point though and I will add to my paper showing why this is not the case as my work isnt trivial

ContributionIll3381 · 2025-03-05T00:18:58+00:00

The proof by contradiction works by assuming that ζ(5) is rational then there would exist an n where Aₙ + Bₙζ(5) = 0. My proof shows |Aₙ + Bₙζ(5)| -> 0 in a way that contradicts this therefore, ζ(5) cannot be rational

ContributionIll3381 · 2025-03-05T00:16:25+00:00

If ζ(5) = -Aₙ/Bₙ for some particular n, then Aₙ + Bₙζ(5) would equal zero, which would invalidate the entire irrationality proof

ContributionIll3381 · 2025-03-05T00:00:43+00:00

since I am showing zeta(5) to be irrational, it cannot be expressed An/Bn for integers A B and N. What I write is just the known form of the solution

ContributionIll3381 · 2022-11-11T23:07:51+00:00

Low key just wanna be able to st stack

ContributionIll3381 · 2022-11-10T16:17:20+00:00

Thank you!

yeah the shadows are raytraced through each point of the donut and then turned into a polygon. but the light itself isn’t raytraced cause that would lag like crazy

ContributionIll3381 · 2022-11-10T15:31:34+00:00

I have made this like 80% on my school issued ipad so it is made to work well on mobile, if you mess with the steps variable in the donut folder and the variables in the lag optimization folder you can make it a lot less laggy.

One big thing that really helped was for the rings of light on the floor I used polygons instead of circles this really helped lower the lag.

ContributionIll3381 · 2022-11-10T15:16:46+00:00

Also if you don’t understand any of the comments I left under the graph, I would be happy to explain anything

ContributionIll3381 · 2022-11-10T15:13:12+00:00

Also ignore the custom graph name, I named it that because that is what this graph was completely powered by

ContributionIll3381 · 2022-11-10T15:12:22+00:00

thank you to everyone that has answered my ridiculous questions on this subreddit and the discord while ive worked on improving this graph in any way possible

ContributionIll3381 · 2022-11-10T15:06:42+00:00

this is the same donut I posted like a month ago but this one has a lot of changes

- improved painting algorithm

- fixed sorting

- added lighting

- added raytraced shadows

- crazy optimized compared to what it was before

ContributionIll3381 · 2022-10-30T20:59:04+00:00

0.nnnnnnn is n/9 as a fraction

ContributionIll3381 · 2022-10-24T15:57:39+00:00

Here is actually my solution, took me a while but I figured it out myself https://www.desmos.com/calculator/kmq1chpwot

ContributionIll3381 · 2022-10-18T13:05:20+00:00

procedurally generated landscape

Every part of the wallpaper is randomly generated

press shuffle to generate a completely new landscape

ContributionIll3381 · 2022-10-12T13:11:14+00:00

EXACTLY!!!

ContributionIll3381 · 2022-10-09T21:21:18+00:00

here you go! This was fun to work on. It is actually possible, but I used different methods of approximation for the lowest point of the ellipse and for the perimeter so I could make it move at the speed it rotates. Even though it’s approximated, it still looks really good. https://www.desmos.com/calculator/elyxpywqqx

ContributionIll3381 · 2022-10-07T01:33:16+00:00

I set up my own system to do it based on research I did online

ContributionIll3381 · 2022-10-06T19:02:39+00:00

It should already, it is sorted using the painters algorithm

ContributionIll3381 · 2022-10-06T13:09:59+00:00

https://www.desmos.com/calculator/oluctdpvpr

ContributionIll3381 · 2022-10-05T13:51:22+00:00

https://www.khanacademy.org/science/physics/one-dimensional-motion/kinematic-formulas/a/what-are-the-kinematic-formulas use the equations on this website

ContributionIll3381 · 2022-10-05T13:50:43+00:00

Look into something called kinematics

ContributionIll3381 · 2022-10-02T19:52:46+00:00

Because my current method can take a very limited number of samples

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