Talk:Riemann zeta function

Merge

I propose this article be merged into the Riemann hypothesis article. I believe this would help with complexity issues. FrancesO (talk) 01:36, 16 March 2009 (UTC)

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Sorry for crude text, I'm not an editor or used with this script. However, I would like to agree with FrancecO. As the zeta function rarely is mentioned without mentioning the hypothesis (and vice versa), these two articles should -in a Simple English Wiki- be combined for an easier understanding of the whole topic.

My short thought, greetings Morten D. — Preceding unsigned comment added by 109.189.51.35 (talk) 21:07, 4 October 2011

Moving comment to Talk:Riemann hypothesis to keep things in one place. πr² 01:00, 23 January 2012 (UTC)

Changes

Now that I've managed to edit the right page, I'll outline the changes that I made:

• While $\Re$ does look more aesthetically pleasing, I feel that $\mathrm {Re}$ is clearer to readers.
• $\mathbb {R}$ is a subset of $\mathbb {C}$, so saying that it "can involve" i doesn't make much sense.
• It must be clearly stated that the Riemann zeta function does not represent the infinite series where it doesn't converge, ie. $\mathrm {Re} (s)<1$. Else, we get nonsense like $\zeta (-1)\implies \sum _{n\geq 1}n=-{\frac {1}{12}}$
• I expanded about Euler's work on the function. I intend to continue expanding this page.

--George (Talk · Contribs · CentralAuth · Log) 10:50, 20 June 2017 (UTC)

I just clarified that it is actually a complex continuation of that series, not just the series. Valery Zapolodov (talk) 07:51, 4 January 2022 (UTC)

Re-direct

There should be a re-direct from "Zeta function" (or name the page "Zeta function" and expand it). Kdammers (talk) 21:41, 16 April 2023 (UTC)