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On the diophantine equation \(x^ 2+D=4p^ n\)

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Publication:1187816
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DOI10.1016/0022-314X(92)90085-4zbMath0756.11007MaRDI QIDQ1187816

Maohua Le

Publication date: 23 July 1992

Published in: Journal of Number Theory (Search for Journal in Brave)


zbMATH Keywords

linear forms in logarithmsexponential diophantine equation


Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)


Related Items (5)

On the Diophantine equation \(dx^2+p^{2a}q^{2b}=4y^p\) ⋮ Number of solutions of the equation \(| x^ d- c^ z y^ d| =p\) ⋮ On the Diophantine equation \(x^2 - 4p^m = \pm y^n\) ⋮ On Lebesgue–Ramanujan–Nagell Type Equations ⋮ A GENERALIZATION OF THE RAMANUJAN–NAGELL EQUATION



Cites Work

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  • The diophantine equation \(x^2+7=2^n\)
  • On the Diophantine equation \(y^2=4q^n+4q+1\)
  • The diophantine equation \(x^ 2=4q^ n-4q+1\)
  • Linear forms in two logarithms and Schneider's method (III)
  • On the generalized Ramanujan-Nagell equation I
  • On Square Fibonacci Numbers
  • On two theorems of Gelfond and some of their applications


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