Zapiski Nauchnykh Seminarov POMI, Studies in constructive mathematics and mathematical logic. Part IV, Tome 20 (1971), pp. 49-59
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N. K. Kossovski. On Diophantine representations of the sequence of solutions of Pell's equation. Zapiski Nauchnykh Seminarov POMI, Studies in constructive mathematics and mathematical logic. Part IV, Tome 20 (1971), pp. 49-59. http://geodesic.mathdoc.fr/item/ZNSL_1971_20_a5/
@article{ZNSL_1971_20_a5,
author = {N. K. Kossovski},
title = {On {Diophantine} representations of the sequence of solutions of {Pell's} equation},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {49--59},
year = {1971},
volume = {20},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1971_20_a5/}
}
TY - JOUR
AU - N. K. Kossovski
TI - On Diophantine representations of the sequence of solutions of Pell's equation
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1971
SP - 49
EP - 59
VL - 20
UR - http://geodesic.mathdoc.fr/item/ZNSL_1971_20_a5/
LA - ru
ID - ZNSL_1971_20_a5
ER -
%0 Journal Article
%A N. K. Kossovski
%T On Diophantine representations of the sequence of solutions of Pell's equation
%J Zapiski Nauchnykh Seminarov POMI
%D 1971
%P 49-59
%V 20
%U http://geodesic.mathdoc.fr/item/ZNSL_1971_20_a5/
%G ru
%F ZNSL_1971_20_a5
The paper deals with construction of sufficiently simple Diophantine representations of the sequence of Pell's equation solutions. Such a representation is transformed into a Diophantine representation of the predicate $x=y^z$. It is also proved that there exists a universal polynomial of some simple form.
