In algebraic number theory, an equivariant Artin L-function is a function associated to a finite Galois extension of global fields created by packaging together the various Artin L-functions associated with the extension.
Each extension has many traditional Artin L-functions associated with it, corresponding to the characters of representations of the Galois group.
By contrast, each extension has a unique corresponding equivariant L-function.
Equivariant L-functions have become increasingly important as a wide range of conjectures and theorems in number theory have been developed around them.
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