# I Eistenstein series E_k(t=0) quick q? Modular forms

1. Dec 26, 2016

### binbagsss

I have in my lecture notes that $E_{k}(t=0) =1$,
$E_k (t)$ the Eisenstein series given by:

$E_k (t) = 1 - \frac{2k}{B_k} \sum\limits^{\infty}_1 \sigma_{k-1}(n) q^{n}$

$B_k$ Bermouli number

$q^n = e^{ 2 \pi i n t}$

context modular forms. Also have set $lim t \to i\infty = 0$ , i.e $lim q \to 0 = 0$
$n=0$ sets this to $1$

so I have

$E_k (t) = 1 - \frac{2k}{B_k} \sum\limits^{\infty}_1 \sigma_{k-1}(n)$ ??

2. Dec 31, 2016