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  • src/sage/modular/quasimodform

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src/sage/modular/quasimodform/ring.py

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.. MATH::
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E_2(z) = 1 - \frac{2k}{B_k} \sum_{n=1}^{\infty} \sigma(n) q^n
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E_2(z) = 1 - 24 \sum_{n=1}^{\infty} \sigma(n) q^n
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where `\sigma` is the sum of divisors function and `q = \mathrm{exp}(2\pi i z)`
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is the classical parameter at infinity, with `\mathrm{im}(z)>0`. This weight 2
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.. MATH::
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z^2 E_2(-1/z) = E_2(z) + \frac{2k}{4\pi i B_k z}.
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z^2 E_2(-1/z) = E_2(z) + \frac{6}{\pi i z}.
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`E_2` is a quasimodular form of weight 2. General quasimodular forms of given
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weight can also be defined. We denote by `QM` the graded ring of quasimodular

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