Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 4, Tome 67 (1977), pp. 163-166
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V. A. Dem'yanenko. An indeterminate equation. Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 4, Tome 67 (1977), pp. 163-166. http://geodesic.mathdoc.fr/item/ZNSL_1977_67_a7/
@article{ZNSL_1977_67_a7,
author = {V. A. Dem'yanenko},
title = {An indeterminate equation},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {163--166},
year = {1977},
volume = {67},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_67_a7/}
}
TY - JOUR
AU - V. A. Dem'yanenko
TI - An indeterminate equation
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1977
SP - 163
EP - 166
VL - 67
UR - http://geodesic.mathdoc.fr/item/ZNSL_1977_67_a7/
LA - ru
ID - ZNSL_1977_67_a7
ER -
%0 Journal Article
%A V. A. Dem'yanenko
%T An indeterminate equation
%J Zapiski Nauchnykh Seminarov POMI
%D 1977
%P 163-166
%V 67
%U http://geodesic.mathdoc.fr/item/ZNSL_1977_67_a7/
%G ru
%F ZNSL_1977_67_a7
It is proved that on the curve $$ x_0^2+x_1^2=t(x^2_2-x_3^2),\quad t(x_0^2-x_1^2)=x_2^2+x_3^2 $$ there are no $k(t)$ – rational points; here $k$ is an algebraically closed field.
