Theorems · Definition · number theory
ArithmeticFunction.zetaUnit
{R : Type u_1} → [inst : CommRing R] → (ArithmeticFunction R)ˣA unit in ArithmeticFunction R that evaluates to ζ, with inverse μ.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Unitsstatement · cited by 2,804
- ArithmeticFunctionstatement · cited by 290
- ArithmeticFunction.zetaproof · cited by 45
- ArithmeticFunction.moebiusproof · cited by 45
- ArithmeticFunction.natToArithmeticFunctionproof · cited by 30
- ArithmeticFunction.ofIntproof · cited by 14
Cited by2
Results whose statement or proof uses this declaration.
- ArithmeticFunction.inv_zetaUnitstatement · cited by 0
- ArithmeticFunction.coe_zetaUnitstatement · cited by 0