/sci/ - Science & Math

so, new gpt2 architecture chatbot has been shadowdropped and it's output is significally different from gpt4 in some cases. below is what happens when asked to prove riemann's hypothesis and the overall process is consistent between multiple regens (normal gpt4t proposes a meme solution). can some mathfag look if any of this makes any sense? sorry for broken formulas formatting, that's how gpt2 outputs them (i think you can paste them in latex formula viewer to see them properly):

The Riemann Zeta function, (\zeta(s)), is defined for (\text{Re}(s) > 1) by the absolutely convergent series:

[
\zeta(s) = \sum_{n=1}^\infty \frac{1}{n^s}
]

and extended to the rest of the complex plane (except (s = 1)) via analytic continuation. The functional equation for (\zeta(s)) is central in its analysis:

[
\zeta(s) = 2^s \pi^{s-1} \sin\left(\frac{\pi s}{2}\right) \Gamma(1-s) \zeta(1-s)
]

The Riemann Hypothesis asserts that all non-trivial zeros of (\zeta(s)) lie on the critical line (\text{Re}(s) = \frac{1}{2}).