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Timeline for Eisenstein Series at CM points

Current License: CC BY-SA 4.0

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Jan 5, 2021 at 0:17 comment added markvs @Rdrr: If you can formulate the question coherently, send it to Don Zagier.
Jan 4, 2021 at 21:59 comment added Rdrr Ideally as well known as possible. Particularly as an element of the Hilbert class field or ring class field.
Jan 4, 2021 at 20:31 comment added markvs I do not know how well you need this to be known. This is not known to me but it may be known to Don Zagier.
Jan 4, 2021 at 20:13 comment added Rdrr Apologies, I meant $k=2$ and $k=3$. As pointed out in Francois' link, $E_4$ and $E_6$ are known in terms of $j(\tau)$ and $\eta(\tau)$, but are the special values of these functions for CM values of $\tau$, well known?
Jan 4, 2021 at 19:37 comment added François Brunault Relevant: mathoverflow.net/questions/311879
Jan 4, 2021 at 19:24 comment added François Brunault For $k=1$ there are two ways to make sense of the series: Eisenstein summation and Kronecker/Hecke summation. This is explained in Weil's book "Elliptic functions according to Eisenstein and Kronecker".
Jan 4, 2021 at 18:17 history edited Rdrr CC BY-SA 4.0
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Jan 4, 2021 at 18:17 comment added Rdrr Of course, I meant I'm particularly interested in $k=2$ and $k=3$
Jan 4, 2021 at 14:19 history edited Rdrr CC BY-SA 4.0
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Jan 4, 2021 at 4:33 review Suggested edits
Jan 4, 2021 at 13:12
Jan 4, 2021 at 2:37 history edited Rdrr CC BY-SA 4.0
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Jan 4, 2021 at 2:12 history asked Rdrr CC BY-SA 4.0