The Hilbert symbol for Lubin–Tate formal groups. I
Zapiski Nauchnykh Seminarov POMI, Modules and algebraic groups, Tome 114 (1982), pp. 77-95
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For the Hilbert Symbol on the group of points of a Lubin–Tate formal group there is found a modification of the explicit formulas that covers both the cases of an even and an odd prime $p$.
@article{ZNSL_1982_114_a7,
author = {S. V. Vostokov},
title = {The {Hilbert} symbol for {Lubin{\textendash}Tate} formal {groups.~I}},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {77--95},
year = {1982},
volume = {114},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1982_114_a7/}
}
S. V. Vostokov. The Hilbert symbol for Lubin–Tate formal groups. I. Zapiski Nauchnykh Seminarov POMI, Modules and algebraic groups, Tome 114 (1982), pp. 77-95. http://geodesic.mathdoc.fr/item/ZNSL_1982_114_a7/