Theorems · Theorem · number theory
DirichletCharacter.isMultiplicative_zetaMul
∀ {N : ℕ} (χ : DirichletCharacter ℂ N), χ.zetaMul.IsMultiplicativeThe arithmetic function zetaMul χ is multiplicative.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- DirichletCharacterstatement and proof · cited by 161
- ArithmeticFunction.IsMultiplicativestatement · cited by 45
- ArithmeticFunction.IsMultiplicative.mulproof · cited by 5
- ArithmeticFunction.isMultiplicative_zetaproof · cited by 5
- DirichletCharacter.zetaMulstatement · cited by 4
- ArithmeticFunction.IsMultiplicative.natCastproof · cited by 4
- DirichletCharacter.isMultiplicative_toArithmeticFunctionproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- DirichletCharacter.zetaMul_nonnegproof · cited by 0