John Carlos Baez on Nostr: On the critical line, the Euler product does not even converge to the Riemann zeta ...

On the critical line, the Euler product does not even converge to the Riemann zeta function. So why does the product of its first few factors do a decent job of capturing the Riemann zeta function's peaks?

I haven't read about this phenomenon anywhere - have you? This paper sound promising, but it doesn't actually discuss what's happening on the critical line:

arxiv.org/abs/0704.3448

😢

(3/n, n = 3)