We formulate (and prove under a certain assumption) a conjecture relating the order of Somekawa's Milnor K-group attached to a torus T and the value of the Artin L-function attached to the cocharacter group of T (regarded as an Artin representation) at s = -1. The case T = m reduces to the classical BirchTate conjecture.
- Artin L-function
- Birch-Tate conjecture
- Milnor K-groups attached to tori
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