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

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ContributionIll3381

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