Theorems · Theorem · number theory
Chebyshev.integral_theta_div_log_sq_isLittleO
(fun x => ∫ (t : ℝ) in 2..x, Chebyshev.theta t / (t * Real.log t ^ 2)) =o[Filter.atTop] fun x => x / Real.log x
- Defined in
- Mathlib.NumberTheory.Chebyshev
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 261 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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
- Filter.Eventuallyproof · cited by 3,134
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- Filter.atTopstatement and proof · cited by 2,405
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- MeasureTheory.MeasureSpace.volumestatement · cited by 1,323
- Real.logstatement and proof · cited by 939
- one_ne_zeroproof · cited by 885
- ne_of_gtproof · cited by 637
- div_oneproof · cited by 629
Cited by1
Results whose statement or proof uses this declaration.
- Chebyshev.eventually_primeCounting_leproof · cited by 0