TY - JOUR
AU - Khanom, Poonyanoot
AU - Wananiyakul, Saeree
AU - Tongsomporn, Janyarak
PY - 2024/03/31
Y2 - 2024/06/14
TI - On Cubic Exponential Diophantine Equations $\pm 3^x \pm a^y = z^3$: Annual Meeting in Mathematics 2023
JF - Thai Journal of Mathematics
JA - Thai J Math
VL - 22
IS - 1
SE - Articles
DO -
UR - https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1612
SP - 227–237
AB - <p>We investigate the integer solutions of the cubic exponential Diophantine equations in the form $\pm 3^x \pm a^y = z^3$ using elementary techniques. In particular, we also prove that there are infinitely many cubic exponential Diophantine equations in that form that have no integer solutions.</p>
ER -