On Artin L-functions¶
Cogdell, J. W. (2026). On Artin L-functions.
Cited by¶
1 citation across 1 artifact.
Domain-specific¶
- Artin conductor
- The Artin conductor is the ramification invariant assigned to a character of the Galois group of a finite extension of local or global fields.
Supported in partVerified against the work's full text
Treats Artin L-functions of characters of local and global Galois groups and Artin's local conductor formula as registering ramification, but never states the definition itself.
“the seemingly complicated for- mula that Artin gives for the local conductor is accounted for by the fact that as one induces from various subfields, the conductor must vary in parallel with the discriminant, and hence it must register the changes in ramification”
- The Artin conductor is the ramification invariant assigned to a character of the Galois group of a finite extension of local or global fields.
Verification¶
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