Theorems · Theorem · number theory
ArithmeticFunction.vonMangoldt_mul_zeta
ArithmeticFunction.vonMangoldt * ↑ArithmeticFunction.zeta = ArithmeticFunction.log
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 175 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.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Real.logproof · cited by 939
- ArithmeticFunctionstatement · cited by 290
- ArithmeticFunction.zetastatement · cited by 45
- ArithmeticFunction.vonMangoldtstatement · cited by 40
- ArithmeticFunction.natToArithmeticFunctionstatement · cited by 30
- ArithmeticFunction.extproof · cited by 29
- ArithmeticFunction.logstatement and proof · cited by 6
- ArithmeticFunction.coe_mul_zeta_applyproof · cited by 4
- ArithmeticFunction.vonMangoldt_sumproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- ArithmeticFunction.log_mul_moebius_eq_vonMangoldtproof · cited by 1
- ArithmeticFunction.convolution_vonMangoldt_zetaproof · cited by 1
- ArithmeticFunction.zeta_mul_vonMangoldtproof · cited by 0