On explicit reciprocity law over formal groups
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.
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204301249 |
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| _version_ | 1832560433975787520 |
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| author | Shaowei Zhang |
| author_facet | Shaowei Zhang |
| author_sort | Shaowei Zhang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-219598c05a7d42009d5125d3f9d3ba8a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-219598c05a7d42009d5125d3f9d3ba8a2025-02-03T01:27:35ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-0120041260763510.1155/S0161171204301249On explicit reciprocity law over formal groupsShaowei Zhang0Department of Mathematics and Statistics, Boston University, 02215, MA, USALet 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.http://dx.doi.org/10.1155/S0161171204301249 |
| spellingShingle | Shaowei Zhang On explicit reciprocity law over formal groups International Journal of Mathematics and Mathematical Sciences |
| title | On explicit reciprocity law over formal groups |
| title_full | On explicit reciprocity law over formal groups |
| title_fullStr | On explicit reciprocity law over formal groups |
| title_full_unstemmed | On explicit reciprocity law over formal groups |
| title_short | On explicit reciprocity law over formal groups |
| title_sort | on explicit reciprocity law over formal groups |
| url | http://dx.doi.org/10.1155/S0161171204301249 |
| work_keys_str_mv | AT shaoweizhang onexplicitreciprocitylawoverformalgroups |