On the Exponential Diophantine Equation ( 12 m 2 + 1 ) x + ( 13 m 2 − 1 )
نویسندگان
چکیده
Let m be a positive integer. Then we show that the exponential Diophantine equation (12m2 + 1)x + (13m2 − 1)y = (5m)z has only the positive integer solution (x, y, z) = (1, 1, 2) under some conditions. The proof is based on elementary methods and Baker’s method. Mathematics Subject Classification: 11D61
منابع مشابه
On the Exponential Diophantine Equation ( 4 m 2 + 1
Let m be a positive integer. Then we show that the exponential Diophantine equation (4m2 + 1)x + (5m2 − 1)y = (3m)z has only the positive integer solution (x, y, z) = (1, 1, 2) under some conditions. The proof is based on elementary methods and Baker’s method. Mathematics Subject Classification: 11D61
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