On a~$p$-adic analogue of Tate height
Izvestiya. Mathematics , Tome 21 (1983) no. 2, pp. 201-210

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This paper is devoted to the study of the Tate height of an elliptic curve and its $p$-adic analogue. The main result is a series of explicit formulas for computing the local archimedean part of the Tate height. These results are used to obtain a new method for constructing the $p$-adic Tate height. Bibliography: 5 titles.
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     author = {A. A. Berzin'sh},
     title = {On a~$p$-adic analogue of {Tate} height},
     journal = {Izvestiya. Mathematics },
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A. A. Berzin'sh. On a~$p$-adic analogue of Tate height. Izvestiya. Mathematics , Tome 21 (1983) no. 2, pp. 201-210. http://geodesic.mathdoc.fr/item/IM2_1983_21_2_a0/