On congruence relations between the fundamental units of biquadratic fields Original Research Article

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 image, modulo a certain prime ideal of image. This congruence in particular implies the validity of the equivariant Tamagawa number conjecture formulated by Burns and Flach for the pair image.