Theorems · Theorem · number theory
Chebyshev.integral_one_div_log_sq_isBigO
(fun x => ∫ (t : ℝ) in 2..x, 1 / Real.log t ^ 2) =O[Filter.atTop] fun x => x / Real.log x ^ 2
- Defined in
- Mathlib.NumberTheory.Chebyshev
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 259 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites47
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Norm.normproof · cited by 5,413
- Nat.cast_oneproof · cited by 2,501
- Filter.atTopstatement and proof · cited by 2,405
- mul_commproof · cited by 2,262
- le_reflproof · cited by 2,061
- Nat.cast_zeroproof · cited by 1,870
- absproof · cited by 1,814
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- MeasureTheory.MeasureSpace.volumestatement · cited by 1,323
- le_of_ltproof · cited by 1,175
Cited by1
Results whose statement or proof uses this declaration.
- Chebyshev.integral_theta_div_log_sq_isBigOproof · cited by 2