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**Note:** You will not want to solve the last problem by hand. I
suggest
using
SAGE which you
can either use online or download for free. The command to generate the
Fourier expansion of the kth Eisenstein series is
"eisenstein_series_qexp(k)" (without the quotes). The one catch is that
this
Eisenstein series is normalized to have q
coefficient 1, instead of constant term 1. However, it will be easy to
see what you need to multiply by to get our E_k(z).

Stephanie Treneer

Last updated June 24, 2010 10:49:47 EDT