r/mathminds

OpenAI Is Pissing Off a Bunch of Mathematicians—Again
▲ 237 r/mathminds+1 crossposts

OpenAI Is Pissing Off a Bunch of Mathematicians—Again

>[C]ompany representatives assured attendees [OpenAI] would not release the solutions all at once—an assurance OpenAI spokesperson Lindsay McCallum says the company is “not aware of”—and, worried by how the community might react, sought advice on how to publish the findings.

>"We are working to responsibly release the next math results from our model, drawing on advice and public recommendations from the Advisory Group on Mathematics and Artificial Intelligence at the Institute for Advanced Study to inform how we release these results. We have not set a release time,” said McCallum.

Of course, just hours after this article was published, OpenAI dumped 377 "proofs" on github. But don't worry about the burden created by dumping 377 slop papers on weary mathematicians laps for them to make sense of. OpenAI has it covered:

>To promote scientific transparency and openness, we are also publishing additional details about how we obtained the results in the repository. These include 10 summaries of the model’s reasoning, estimations of compute spent in terms of Pro usage on ChatGPT, and statistics about the number of attempted problems.

Wow, that will be really helpful! And they didn't even mention that they also included 10 (excerpts) of the original prompts!

https://archive.ph/m51FF

Another take on the whole mess: https://gizmodo.com/openai-dumps-377-new-math-results-on-github-publishes-hand-wringing-blog-post-2000822613

wired.com
u/DSByTitleOnly — 8 days ago
▲ 9 r/mathminds+8 crossposts

Can you reach 46 using all dice?

Use each die exactly once.
Any order is allowed.
Parentheses are allowed.
Exact division only.
No negative numbers.
Not every operation has to be used.

How many solutions can you find?

Please use spoiler tags for solutions:
&gt;!your solution here!<

u/TargetLabs — 7 days ago
▲ 58 r/mathminds+1 crossposts

I can find the Nontrivial Zeroes of the Riemann Zeta Function with &gt; 99% accuracy using a simple prime product.

Blue line is real output and red line is imaginary output

The formula is:

https://preview.redd.it/r3bc4vwrj5uh1.png?width=273&format=png&auto=webp&s=90ec9228175014a19b93903177ff71ea4c0a1d31

The minimums of the magnitude of the output makes it even more simple to identify the zeroes, here is how close I can get just iterating in steps of .01i.

https://preview.redd.it/zx1vxqn7k5uh1.png?width=532&format=png&auto=webp&s=0638d5b55a8b030ca0d9fec301f8ec33f64eb63a

I have a manuscript documenting how I derived the formula directly from the Zeta function, but I am not a mathematician nor endorsed on arxiv so I have no one else to really share with. If you want a copy let me know.

Edit: The term leading the truncated Euler Product is vital for identifying the zeroes, it's responsible for twisting the function down and anchoring the zeroes actually near zero. For example, here is the same truncated Euler product without that leading term: https://imgur.com/a/wPNHBaZ . Which you will notice lacks the convergence of the real and imaginary output near the zeroes, and drifts upwards with increasing b value.

Most of the effort in the project went in to deriving the leading term, which I have documented here as a preprint: https://zenodo.org/records/23227561

It sounds cliche, but the proper leading term is sort of a skeleton key that dynamically updates with the Euler Product to pull the zeroes down and make them visually apparent. Obviously I do not have a fully fleshed out rigorous foundation, but just look at it!

u/rhackbar — 8 days ago