International Journal of Mathematics and Mathematical Sciences (Jan 2004)

On explicit reciprocity law over formal groups

  • Shaowei Zhang

DOI
https://doi.org/10.1155/S0161171204301249
Journal volume & issue
Vol. 2004, no. 12
pp. 607 – 635

Abstract

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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.