On explicit reciprocity law over formal groups

Abstract

Let 𝔣 be a one-dimensional Lubin-Tate formal group over ℤp. 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.