ON THE DIOPHANTINE EQUATION x2 + 5a 13b = yn
Glasgow mathematical journal, Tome 50 (2008) no. 1, pp. 175-181
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In this note, we find all the solutions of the Diophantine equation x2 + 5a 13b = yn in positive integers x, y, a, b, n≥ 3 with x and y coprime.
MURIEFAH, FADWA S. ABU; LUCA, FLORIAN; TOGBÉ, ALAIN. ON THE DIOPHANTINE EQUATION x2 + 5a 13b = yn. Glasgow mathematical journal, Tome 50 (2008) no. 1, pp. 175-181. doi: 10.1017/S0017089507004028
@article{10_1017_S0017089507004028,
author = {MURIEFAH, FADWA S. ABU and LUCA, FLORIAN and TOGB\'E, ALAIN},
title = {ON {THE} {DIOPHANTINE} {EQUATION} x2 + 5a 13b = yn},
journal = {Glasgow mathematical journal},
pages = {175--181},
year = {2008},
volume = {50},
number = {1},
doi = {10.1017/S0017089507004028},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089507004028/}
}
TY - JOUR AU - MURIEFAH, FADWA S. ABU AU - LUCA, FLORIAN AU - TOGBÉ, ALAIN TI - ON THE DIOPHANTINE EQUATION x2 + 5a 13b = yn JO - Glasgow mathematical journal PY - 2008 SP - 175 EP - 181 VL - 50 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089507004028/ DO - 10.1017/S0017089507004028 ID - 10_1017_S0017089507004028 ER -
%0 Journal Article %A MURIEFAH, FADWA S. ABU %A LUCA, FLORIAN %A TOGBÉ, ALAIN %T ON THE DIOPHANTINE EQUATION x2 + 5a 13b = yn %J Glasgow mathematical journal %D 2008 %P 175-181 %V 50 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089507004028/ %R 10.1017/S0017089507004028 %F 10_1017_S0017089507004028
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