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

  1. Dec 26, 2016 #1
    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. jcsd
  3. Dec 31, 2016 #2
    Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.
     
  4. Jan 5, 2017 #3
    bump. thank you .
     
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