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Mathlib/NumberTheory/ModularForms/EisensteinSeries/QExpansion.lean

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@@ -19,7 +19,7 @@ for even `k` with `3 ≤ k` Eisenstein series can we written as
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the `(k-1)`-th powers of the divisors of `n`. We need `k` to be even so that the Eisenstein series
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are non-zero and we require `k ≥ 3` so that the series converges absolutely.
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The proof relies of the identity
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The proof relies on the identity
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`∑' n : ℤ, 1 / (z + n) ^ (k + 1) = ((-2πi)^(k+1) / k!) ∑' n : ℕ, n^k q^n` which comes from
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differentiating the expansion of `π cot(πz)` in terms of exponentials. Since our Eisenstein series
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are defined as sums over coprime integer pairs, we also need to relate these to sums over all pairs

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