Theorems · Theorem · number theory
riemannZeta_eq_exp_LSeries
∀ {s : ℂ},
1 < s.re → Complex.exp (LSeries (fun n => ↑(ArithmeticFunction.vonMangoldt n) / ↑(Real.log ↑n)) s) = riemannZeta s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 307 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- one_mulproof · cited by 2,841
- CommMonoidproof · cited by 2,264
- Complex.ofRealstatement and proof · cited by 1,654
- ZModproof · cited by 1,024
- Real.logstatement and proof · cited by 939
- CommMonoidWithZeroproof · cited by 913
- Complex.restatement and proof · cited by 882
- Complex.expstatement and proof · cited by 612
- ArithmeticFunctionstatement · cited by 290
Cited by1
Results whose statement or proof uses this declaration.
- log_riemannZeta_eqproof · cited by 0