Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 841-857 |
| Number of pages | 17 |
| Journal | International Journal of Mathematics |
| Volume | 20 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 2009 Jul |
Keywords
- Artin L-function
- Birch-Tate conjecture
- Milnor K-groups attached to tori
ASJC Scopus subject areas
- Mathematics(all)