Izvestiya. Mathematics, Tome 21 (1983) no. 2, pp. 201-210
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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/
@article{IM2_1983_21_2_a0,
author = {A. A. Berzin'sh},
title = {On a~$p$-adic analogue of {Tate} height},
journal = {Izvestiya. Mathematics},
pages = {201--210},
year = {1983},
volume = {21},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1983_21_2_a0/}
}
TY - JOUR
AU - A. A. Berzin'sh
TI - On a $p$-adic analogue of Tate height
JO - Izvestiya. Mathematics
PY - 1983
SP - 201
EP - 210
VL - 21
IS - 2
UR - http://geodesic.mathdoc.fr/item/IM2_1983_21_2_a0/
LA - en
ID - IM2_1983_21_2_a0
ER -
%0 Journal Article
%A A. A. Berzin'sh
%T On a $p$-adic analogue of Tate height
%J Izvestiya. Mathematics
%D 1983
%P 201-210
%V 21
%N 2
%U http://geodesic.mathdoc.fr/item/IM2_1983_21_2_a0/
%G en
%F IM2_1983_21_2_a0
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.