International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2004 / Article

Open Access

Volume 2004 |Article ID 376876 | https://doi.org/10.1155/S0161171204301249

Shaowei Zhang, "On explicit reciprocity law over formal groups", International Journal of Mathematics and Mathematical Sciences, vol. 2004, Article ID 376876, 29 pages, 2004. https://doi.org/10.1155/S0161171204301249

On explicit reciprocity law over formal groups

Received16 Jan 2003

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.

Copyright © 2004 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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