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A note on the diophantine equation \((a^n-1)(b^n-1)= x^2\)

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Publication:377815
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DOI10.1007/s10998-012-6964-8zbMath1274.11089OpenAlexW968777848MaRDI QIDQ377815

Xiaoyan Guo

Publication date: 7 November 2013

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-012-6964-8


zbMATH Keywords

exponential diophantine equationsquare classes of sequence


Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)


Related Items (4)

On the exponential Diophantine equation \((a^n-2)(b^n-2)=x^2\) ⋮ On the exponential Diophantine equation \((a^n-1)(b^n-1)=x^2\) ⋮ A note on the exponential Diophantine equation \((a^n-1)(b^n-1)=X^2\) ⋮ On the Diophantine equation $(2^x-1)(p^y-1)=2z^2$



Cites Work

  • The product of like-indexed terms in binary recurrences
  • The Diophantine equation \((a^n-1)(b^n-1)=x^2\)
  • Ternary Diophantine Equations via Galois Representations and Modular Forms
  • The Diophantine equation xn= Dy2+1
  • Note on J. H. E. Cohn's paper ``The Diophantine equation xn=Dy2+1"
  • On the Diophantine Equation mX 2 - nY 2 = ± 1
  • On the Diophantine equations \((2^n-1)(6^n-1)=x^2\) and \((a^n-1)(a^{kn}-1)=x^2\)
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