1Institute of Mathematics, University of West Hungary, Hungary 2HU9700 Szombathely, Karoli G. ter 4, Hungary
Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 2, pp. 199-204
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László Szalay; Krisztán Gueth; László Szalay; Krisztán Gueth. The diophantine equations $2^n\pm3\cdot2^m+9=x^2$. Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 2, pp. 199-204. http://geodesic.mathdoc.fr/item/AMUC_2018_87_2_a4/
@article{AMUC_2018_87_2_a4,
author = {L\'aszl\'o Szalay and Kriszt\'an Gueth and L\'aszl\'o Szalay and Kriszt\'an Gueth},
title = { The diophantine equations $2^n\pm3\cdot2^m+9=x^2$},
journal = {Acta mathematica Universitatis Comenianae},
pages = {199--204},
year = {2018},
volume = {87},
number = {2},
url = {http://geodesic.mathdoc.fr/item/AMUC_2018_87_2_a4/}
}
TY - JOUR
AU - László Szalay
AU - Krisztán Gueth
AU - László Szalay
AU - Krisztán Gueth
TI - The diophantine equations $2^n\pm3\cdot2^m+9=x^2$
JO - Acta mathematica Universitatis Comenianae
PY - 2018
SP - 199
EP - 204
VL - 87
IS - 2
UR - http://geodesic.mathdoc.fr/item/AMUC_2018_87_2_a4/
ID - AMUC_2018_87_2_a4
ER -
%0 Journal Article
%A László Szalay
%A Krisztán Gueth
%A László Szalay
%A Krisztán Gueth
%T The diophantine equations $2^n\pm3\cdot2^m+9=x^2$
%J Acta mathematica Universitatis Comenianae
%D 2018
%P 199-204
%V 87
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2018_87_2_a4/
%F AMUC_2018_87_2_a4
In this paper, we study the diophantine equations 2^n\pm3\cdot2^m+9=x^2, and apart from the plus case with the condition n < m we solve completely the problem. The method resembles the treatment we used to solve the equation 2^n + 2^m + 1 = x^2.
