Timeline for Definition of CM modular form
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Jun 10, 2020 at 4:00 | comment | added | reuns | $a_p=0$ for $pO_K$ prime is the same as $\sum_n a_n |\chi(n)| q^n=\sum_n a_n \chi(n) q^n$ where $\chi(n)=(\frac{n}{Disc(O_K)})$ is the Dirichlet character such that $\zeta_K(s)=\zeta(s)L(s,\chi)$, which in turn is the same as $\pi(f) \cong \pi(f)\otimes\chi$. Your reducibility of the Galois representation shows that $L(s,f)=L(s,\psi)$ for some Hecke character of $K$ (ie. $f = \sum_{I\subset O_K} \psi(I)q^{ N(I)}$) | |
| Dec 15, 2015 at 18:38 | history | edited | Joël | CC BY-SA 3.0 |
Corrected spelling.
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| Oct 22, 2014 at 4:00 | history | answered | Joël | CC BY-SA 3.0 |