Mathlib Map

Theorems · Definition · number theory

ArithmeticFunction.liouville

ArithmeticFunction ℤ

The Liouville function λ(n) defined to be 1 if n has an even number of prime factors (counting multiplicity) and -1 otherwise.

Defined in
Mathlib.NumberTheory.ArithmeticFunction.Liouville
Cited by
5 results in Mathlib
Foundations
Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

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

Cites3

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

Cited by5

Results whose statement or proof uses this declaration.