Mathlib Map

Theorems · Definition · number theory

ArithmeticFunction.pmul

{R : Type u_1} → [inst : MulZeroClass R] → ArithmeticFunction R → ArithmeticFunction R → ArithmeticFunction R

This is the pointwise product of ArithmeticFunctions.

Defined in
Mathlib.NumberTheory.ArithmeticFunction.Zeta
Cited by
9 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext
Assumes
MulZeroClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

BoundingSieve.selbergTerms · cited by 7BoundingSieve.selbergTermsArithmeticFunction.IsMultiplicative.pmul · cited by 3IsMultiplicative.pmulArithmeticFunction.pmul_apply · cited by 2ArithmeticFunction.pmul_a…BoundingSieve.selbergTerms_apply · cited by 2BoundingSieve.selbergTerm…ArithmeticFunction.pmul_zeta · cited by 1ArithmeticFunction.pmul_z…ArithmeticFunction.ppow_succ' · cited by 1ArithmeticFunction.ppow_s…ArithmeticFunction.zeta_pmul · cited by 1ArithmeticFunction.zeta_p…ArithmeticFunction.pmul_assoc · cited by 0ArithmeticFunction.pmul_a…ArithmeticFunction.pmul_comm · cited by 0ArithmeticFunction.pmul_c…ArithmeticFunction.ppow_succ · cited by 0ArithmeticFunction.ppow_s…DFunLike.coe · cited by 62936DFunLike.coeArithmeticFunction · cited by 290ArithmeticFunctionMulZeroClass · cited by 232MulZeroClassArithmeticFunction.pmulCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by10

Results whose statement or proof uses this declaration.