Theorems · Theorem · number theory
EisensteinSeries.tsum_tsum_symmetricIco_sub_eq
∀ (z : UpperHalfPlane), ∑' (m : ℤ), ∑'[SummationFilter.symmetricIco ℤ] (n : ℤ), (1 / (↑m * ↑z + ↑n) - 1 / (↑m * ↑z + ↑n + 1)) = 0
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- Foundations
- Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpaceproof · cited by 24,529
- AddCommMonoidproof · cited by 12,281
- Complexstatement and proof · cited by 5,565
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- tsumstatement and proof · cited by 1,148
- UpperHalfPlanestatement and proof · cited by 626
- SummationFilterproof · cited by 607
- UpperHalfPlane.coestatement and proof · cited by 288
- tsum_zeroproof · cited by 63
- SummationFilter.symmetricIcostatement and proof · cited by 17
- EisensteinSeries.tsum_symmetricIco_linear_sub_linear_add_one_eq_zeroproof · cited by 1
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