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On the Exponential Diophantine Equation $$ p^x+q^y=z^3: $$ Theorems and Conjectures
Advances in Intelligent Systems and Computing, 2022Ronald L Aquino, Jerico B Baćani
exaly
On the exponential Diophantine equation (3m2+1)x+(qm2−1)y=(rm)z
SUT Journal of Mathematics, 2020Nobuhiro Terai
exaly
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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The exponential Diophantine equation x2 + (3n 2 + 1)y = (4n 2 + 1)z
Mathematica Slovaca, 2014Wenpeng Zhang
exaly
Exponential diophantine equations with four terms. II
1994The 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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The ternary exponential Diophantine equation concerning Pythagorean triplets
Quaestiones Mathematicae, 2015Han Di, Zhang Wenpeng
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A Note on the Exponential Diophantine Equation $$(rlm^{2}-1)^{x}+(r(r-l)m^{2}+1)^{y}=(rm)^{z}$$
Bulletin of the Brazilian Mathematical Society, 2022exaly
On the solutions of the exponential Diophantine equation ax+by= (m2+ 1)z
Quaestiones Mathematicae, 2013Alain Togbé
exaly