Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595611 | Journal of Number Theory | 2006 | 23 Pages |
Abstract
Given any distinct prime numbers p,q, and r satisfying certain simple congruence conditions, we display a congruence relation between the fundamental units for the biquadratic field , modulo a certain prime ideal of OK. This congruence in particular implies the validity of the equivariant Tamagawa number conjecture formulated by Burns and Flach for the pair (h0(SpecK),Z[Gal(K/Q)]).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory