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Power series expansion

by twoforone
Tags: expansion, power, series
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twoforone
#1
Oct25-11, 02:41 AM
P: 3
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.
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camilus
#2
Oct25-11, 04:28 PM
P: 150
is eta the alternating zeta function??
twoforone
#3
Oct26-11, 01:50 AM
P: 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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