Theorems · Theorem · number theory
ArithmeticFunction.coe_zeta_mul_coe_moebius
∀ {R : Type u_1} [inst : Ring R], ↑ArithmeticFunction.zeta * ↑ArithmeticFunction.moebius = 1- Cited by
- 3 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- ArithmeticFunctionstatement and proof · cited by 290
- ArithmeticFunction.zetastatement · cited by 45
- ArithmeticFunction.moebiusstatement and proof · cited by 45
- ArithmeticFunction.natToArithmeticFunctionstatement · cited by 30
- ArithmeticFunction.ofIntstatement and proof · cited by 14
- ArithmeticFunction.coe_zeta_mul_moebiusproof · cited by 2
- ArithmeticFunction.intCoe_mulproof · cited by 2
- ArithmeticFunction.intCoe_oneproof · cited by 2
- ArithmeticFunction.coe_coeproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- ArithmeticFunction.LSeries_zeta_mul_Lseries_moebiusproof · cited by 2
- DirichletCharacter.convolution_mul_moebiusproof · cited by 1
- ArithmeticFunction.log_mul_moebius_eq_vonMangoldtproof · cited by 1