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The Decision Problem for Exponential Diophantine Equations

The Annals of Mathematics, 1961
Davis, Martin   +2 more
openaire   +2 more sources

Conjunctions of exponential diophantine equations over $${\mathbb {Q}}$$

Archive for Mathematical Logic
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

On the Exponential Diophantine Equation (M²+m+1)^(x)+m^(y)=(m+1)^(z)

Mediterranean Journal of Mathematics, 2020
Murat Alan
exaly  

An Exponential Diophantine Equation

The American Mathematical Monthly, 1936
openaire   +1 more source

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
openaire   +1 more source

A Note on the Number of Solutions of Ternary Purely Exponential Diophantine Equations

Bulletin of the Australian Mathematical Society, 2023
Yasutsugu Fujita   +2 more
exaly  

ON the Exponential Diophantine Equation x2+p2m=2yn

Bulletin of the Australian Mathematical Society, 2012
Alain S.Y.G. Togbé   +2 more
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
openaire   +2 more sources

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