On the set of solutions of the system $x_1+x_2+x_3=1,x_1{x}_2{x}_3=1$

Hlaváček, Miloslav. "On the set of solutions of the system $x_1+x_2+x_3=1, x_1x_2x_3=1$." Mathematica Bohemica 123.1 (1998): 1-6. <http://eudml.org/doc/248293>.

@article{Hlaváček1998,
abstract = {A proof is given that the system in the title has infinitely many solutions of the form $a_1 + a_2$, where $a_1$ and $a_2$ are rational numbers.},
author = {Hlaváček, Miloslav},
journal = {Mathematica Bohemica},
keywords = {equations in many variables; linear diophantine equations; multiplicative equations; Weierstrass $p$-function; diophantine equations; equations in many variables; linear diophantine equations; Weierstrass -function; multiplicative equations},
language = {eng},
number = {1},
pages = {1-6},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the set of solutions of the system $x_1+x_2+x_3=1, x_1x_2x_3=1$},
url = {http://eudml.org/doc/248293},
volume = {123},
year = {1998},
}

TY - JOUR
AU - Hlaváček, Miloslav
TI - On the set of solutions of the system $x_1+x_2+x_3=1, x_1x_2x_3=1$
JO - Mathematica Bohemica
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 123
IS - 1
SP - 1
EP - 6
AB - A proof is given that the system in the title has infinitely many solutions of the form $a_1 + a_2$, where $a_1$ and $a_2$ are rational numbers.
LA - eng
KW - equations in many variables; linear diophantine equations; multiplicative equations; Weierstrass $p$-function; diophantine equations; equations in many variables; linear diophantine equations; Weierstrass -function; multiplicative equations
UR - http://eudml.org/doc/248293
ER -