International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 12, Pages 607-635

On explicit reciprocity law over formal groups

Shaowei Zhang

Department of Mathematics and Statistics, Boston University, 02215, MA, USA

Received 16 January 2003

Copyright © 2004 Shaowei Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Let 𝔣 be a one-dimensional Lubin-Tate formal group over p. Colmez (1998) and Perrin-Riou (1994) proved an explicit reciprocity law for tempered distributions over the formal group 𝔾m. In this paper, the general explicit reciprocity law over the formal group 𝔣 is proved.