On explicit reciprocity law over formal groups

  title={On explicit reciprocity law over formal groups},
  author={Shaowei Zhang},
  journal={Int. J. Math. Mathematical Sciences},
Let F be a one-dimensional Lubin-Tate formal group over Z p. Colmez (1998) and Perrin-Riou (1994) proved an explicit reciprocity law for tempered distributions over the formal group G m. In this paper, the general explicit reciprocity law over the formal group F is proved. 1. Formal groups. In this section, we review some basic facts on formal groups. De Shalit [3, Chapter I] is the source for this section. We just give the description on Coleman power series and the associated measures, and… CONTINUE READING

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