Theorems · Theorem · number theory
EisensteinSeries.tsum_symmetricIco_tsum_sub_eq
∀ (z : UpperHalfPlane),
∑'[SummationFilter.symmetricIco ℤ] (n : ℤ), ∑' (m : ℤ), (1 / (↑m * ↑z + ↑n) - 1 / (↑m * ↑z + ↑n + 1)) =
-2 * ↑Real.pi * Complex.I / ↑z- Cited by
- 0 results in Mathlib
- Foundations
- Depth 299 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- Complexstatement · cited by 5,565
- nhdsproof · cited by 5,554
- Filter.Tendstoproof · cited by 3,814
- Filter.atTopproof · cited by 2,405
- Finset.sum_congrproof · cited by 2,323
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- Real.pistatement and proof · cited by 1,774
- Complex.ofRealstatement and proof · cited by 1,654
- tsumstatement and proof · cited by 1,148
- Complex.Istatement and proof · cited by 866
- Filter.mapproof · cited by 819
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