Results 151 to 160 of about 1,510,077 (175)

An Exponential Diophantine Equation

The American Mathematical Monthly, 1936
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On the exponential Diophantine equation Pm2

This study investigates numbers that are powers of two and can be expressed as the sum of the squares of any two Pell numbers. We apply Baker's theory of linear forms in logarithms of algebraic numbers, along with a variation of the Baker-Davenport reduction method, to solve the Diophantine equation P-m(2) + P-n(2) = 2a, where m,n, and a are non ...
Emin, Ahmet, Ates, Firat
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On Two Classes of Exponential Diophantine Equations

Communications in Mathematics and Applications, 2022
Padma Bhushan Borah, Mridul Dutta
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The exponential Diophantine equation x2 + (3n 2 + 1)y = (4n 2 + 1)z

Mathematica Slovaca, 2014
Wenpeng Zhang
exaly  

On the exponential Diophantine equation $a^x + l^y = c^z$

Proceedings of the Japan Academy Series A: Mathematical Sciences, 2001
Nobuhiro Terai
exaly  

On the Exponential Diophantine Equation $$(a^{n}-2)(b^{n}-2)=x^{2}$$

Mathematical Notes, 2022
exaly  

An upper bound for the number of solutions of the exponential diophantine equation $a^x + b^y = c^z$

Proceedings of the Japan Academy Series A: Mathematical Sciences, 1999
Maohua Le
exaly  

Utility of Exponential Diophantine Equation 3x+ by = cz

2022
exaly  

Exponential diophantine equations with four terms. II

1994
The reviewer of this paper was also the reviewer of the first part of it [the author and \textit{R. Tijdeman}, Indag. Math., New Ser. 3, No. 1, 47-57 (1992; Zbl 0765.11018)], written in English. But he cannot read Chinese, so he is only able to paraphrase the English summary and to give some further information taken from the international mathematical
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Solving Exponential Diophantine Equations

Mathematics Magazine, 1981
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