International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 9-12, Pages 607-635
doi:10.1155/S0161171204301249

On explicit reciprocity law over formal groups

Shaowei Zhang

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

Abstract

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.