Talk:Dedekind zeta function

In the "Euler product" section we have the following statement: "The fact that, for Re(s) > 1, ζ_K(s) is given by a product of non-zero numbers implies that it is non-zero in this region."

As worded, the statement is false. Many infinite products of non-zero numbers are zero. What is the correct statement? Ntsimp (talk) 23:28, 19 August 2016 (UTC)

: {{Ping|Ntsimp}} Look here: The product is said to converge when the limit exists and is not zero. So the statement is correct since the product converges. --Jobu0101 (talk) 12:41, 4 September 2018 (UTC)

What about those? Can we discuss them here as well? --Jobu0101 (talk) 13:15, 4 September 2018 (UTC)

The section Analytic continuation and functional equation contains this definition:

"$\backslash Lambda\_K(s)=\backslash left|\backslash Delta\_K\backslash right|^\{s/2\}\backslash Gamma\_\backslash mathbf\{R\}(s)^\{r\_1\}\backslash Gamma\_\backslash mathbf\{C\}(s)^\{r\_2\}\backslash zeta\_K(s)$"

But the article does not explain what $\backslash left|\backslash Delta\_K\backslash right|$ means, or provide a link for it, or give it a name so that it can be looked up. I hope someone knowledgeable about the subject will do so. 2601:200:C000:1A0:A4A6:107F:DACA:3489 (talk) 02:01, 26 June 2021 (UTC)