Talk:The Riemann zeta function and tuning: Difference between revisions
Created page with "== Review needed == This page is linked from almost every important edo, and I would consider it "high priority". Despite the length of the page and numerous derivations, some questions and problems remain: * The construction itself remains largely unmotivated. Why the specific error functions? There is a large amount of handwaving and heuristics. We can use different cyclic error functions which will not lead to zeta, but they seem equally valid. If there is no specif..." |
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: This is very vague and should be clearly explained. | : This is very vague and should be clearly explained. | ||
* The derivation starts from the 'naive' definition of the | * The derivation starts from the 'naive' definition of the zeta function, which does not converge for s < 1. At some point it switches to the analytic continuation. It is not clear why or how this is valid for this application (although empirically it seems to work out). I should note that being careless about such things is what leads people to ridiculous claims such as 1+2+3+... = -1/12. | ||
Finally, I believe there are still a lot of inaccuracies, although those may be easily fixed. I am not an expert on this topic, it would be great to have the page checked by someone who actually is an expert on complex analysis or the like. | Finally, I believe there are still a lot of inaccuracies, although those may be easily fixed. I am not an expert on this topic, it would be great to have the page checked by someone who actually is an expert on complex analysis or the like. | ||
– [[User:Sintel|Sintel🎏]] ([[User_talk:Sintel|talk]]) 18:01, 5 April 2025 (UTC) | – [[User:Sintel|Sintel🎏]] ([[User_talk:Sintel|talk]]) 18:01, 5 April 2025 (UTC) | ||