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Power series expansion

  1. Oct 25, 2011 #1
    Hi Every body!

    I wan to compute the power series expansion of dedekind eta function. Specifically, I want to know the power series expansion of η(τ)/η(3τ)? How could I expand this function? I would be happy if you could help me as I am stuck at this state when I am computing the modular polynomial of prime number 3.
     
  2. jcsd
  3. Oct 25, 2011 #2
    is eta the alternating zeta function??
     
  4. Oct 26, 2011 #3
    eta function is a function with this expression
    infinity
    η(τ)=q^24 ∏(1-q^n)
    n=0
    where q=e^2πiτ
    Sorry, the product is from n=0 up-to infinity. You should understand in that way.
     
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