On explicit reciprocity law over formal groups (Q1774685)

Summary: Let \(\mathfrak F\) be a one-dimensional Lubin-Tate formal group over \({\mathbb Z}_p\). \textit{P. Colmez} [Ann. Math. (2) 148, 485--571 (1998; Zbl 0928.11045)] and \textit{B. Perrin-Riou} [Invent. Math. 115, 81--161 (1994; Zbl 0838.11071)] proved an explicit reciprocity law for tempered distributions over the formal group \({\mathbb G}_m\). In this paper, the general explicit reciprocity law over the formal group \(\mathfrak F\) is proved.