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On the hybrid mean value of Cochrane sums and generalized Kloosterman sums

100%

Wang T.

Acta Arithmetica

2012

tom 153

nr 2

191-197

A note on the exponential Diophantine equation $(4m²+1)^x + (5m²-1)^y = (3m)^z$

51%

Wang J., Wang T., Zhang W.

Colloquium Mathematicum

2015

tom 139

nr 1

121-126

Let m be a positive integer. Using an upper bound for the solutions of generalized Ramanujan-Nagell equations given by Y. Bugeaud and T. N. Shorey, we prove that if 3 ∤ m, then the equation $(4m²+1)^x + (5m²-1)^y = (3m)^z$ has only the positive integer solution (x,y,z) = (1,1,2).

Ograniczanie wyników

1 Acta Arithmetica

1 Colloquium Mathematicum

2 Wang T.

1 Wang J.

1 Zhang W.

1 2015

1 2012

Wyniki wyszukiwania

On the hybrid mean value of Cochrane sums and generalized Kloosterman sums

A note on the exponential Diophantine equation $(4m²+1)^x + (5m²-1)^y = (3m)^z$