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Results tagged with quasimodular-forms
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user 81776
8
votes
Accepted
How to compute Coefficients in Chudnovsky's Formula?
Let $\tau$ be any CM point. By basic theorems of complex multiplication, if you choose a suitable period
$\omega(\tau)$, $E_4(\tau)/\omega(\tau)^4$, $E_6(\tau)/\omega(\tau)^6$,
and $\sqrt{D}E_2^*(\tau …
- 13.1k
7
votes
Accepted
Eisenstein $E_2$ at imaginary quadratic arguments
Exactly the same Chowla--Selberg formula is valid, but you must apply it
to the modified (non-holomorphic) $$E_2^*(\tau)=E_2(\tau)-3/(\pi\Im(\tau))$$
In other words, $E_2^*(\tau)/\eta^4(\tau)$ is an a …
- 13.1k