Theorems · Theorem · number theory
EisensteinSeries.tendsto_zero_inv_linear
∀ (z : ℂ) (b : ℤ), Filter.Tendsto (fun d => 1 / (↑b * z + ↑d)) Filter.atTop (nhds 0)
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- nhdsstatement · cited by 5,554
- Filter.Tendstostatement · cited by 3,814
- Filter.atTopstatement and proof · cited by 2,405
- one_divproof · cited by 624
- Asymptotics.IsBigOproof · cited by 506
- tendsto_inv_atTop_nhds_zero_natproof · cited by 9
- Asymptotics.IsBigO.trans_tendstoproof · cited by 7
- Int.cofinite_eqproof · cited by 7
- EisensteinSeries.linear_inv_isBigO_rightproof · cited by 3
- Asymptotics.isBigO_supproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- EisensteinSeries.tsum_symmetricIco_linear_sub_linear_add_one_eq_zeroproof · cited by 1