Geodesic
An orthogonal basis of a local field
Izvestiya. Mathematics, Tome 7 (1973) no. 6, pp. 1225-1237 Cet article a éte moissonné depuis la source Math-Net.Ru

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An effective construction is given of an orthogonal basis for a local field, starting from the Shafarevich basis. 
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S. V. Vostokov. An orthogonal basis of a local field. Izvestiya. Mathematics, Tome 7 (1973) no. 6, pp. 1225-1237. http://geodesic.mathdoc.fr/item/IM2_1973_7_6_a1/

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[2] Shafarevich I. R., “Obschii zakon vzaimnosti”, Matem. sb., 26(68):1 (1950), 113–146 | Zbl

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[4] Hasse H., Zahlentheorie, Berlin, 1963 | MR