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On the Diophantine equation \(x^2 - 4p^m = \pm y^n\)

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Publication:442163
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DOI10.1016/j.ajmsc.2012.01.003zbMath1271.11036OpenAlexW1988122523MaRDI QIDQ442163

Amal Al-Rashed, Fadwa S. Abu Muriefah

Publication date: 10 August 2012

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2012.01.003


zbMATH Keywords

Diophantine equations


Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)


Related Items (1)

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Cites Work

  • On the diophantine equation \(x^ 2+D=4p^ n\)
  • On the diophantine equation \(x^ 2-D=4p^ n\)
  • The diophantine equation \(x^ 2=4q^ n-4q+1\)
  • Effective lower bound for the \(p\)-adic distance between powers of algebraic numbers
  • Some exponential diophantine equations. I: The equation \(D_1x^2 - D_2y^2 = \lambda k^z\)
  • Linear forms in two logarithms and interpolation determinants
  • Upper bounds for class numbers of real quadratic fields
  • ON THE DIOPHANTINE EQUATION x2 + 5a 13b = yn


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