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The Eisenstein reciprocity law for formal Lubin–Tate groups. / Vostokov, S. V.; Ivanov, M. A.
в: Journal of Mathematical Sciences, Том 180, № 3, 2012, стр. 269-277.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - The Eisenstein reciprocity law for formal Lubin–Tate groups
AU - Vostokov, S. V.
AU - Ivanov, M. A.
PY - 2012
Y1 - 2012
N2 - A generalized norm residue symbol on Lubin–Tate formal groups is studied. The triviality of this symbol in the case where the first argument belongs to the definition field of the formal group is investigated. Explicit formulas for the generalized norm residue symbol ( , ) F,n are used. To this end, a restriction on the expansion of the first argument in powers of a uniformizer is removed. Bibliography: 6 titles.
AB - A generalized norm residue symbol on Lubin–Tate formal groups is studied. The triviality of this symbol in the case where the first argument belongs to the definition field of the formal group is investigated. Explicit formulas for the generalized norm residue symbol ( , ) F,n are used. To this end, a restriction on the expansion of the first argument in powers of a uniformizer is removed. Bibliography: 6 titles.
M3 - статья
VL - 180
SP - 269
EP - 277
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 3
ER -
ID: 5310570