Academic Researches Index
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Dergiler Duyurular İstatistikler Standartlar Hakkımızda İletişim
  1. Turkish Journal of Mathematics
  2. Arşiv
  3. 2019
  4. Cilt: 43 - Sayı: 3
  5. 1640 -1649
Salah Eddine RIHANE, Bernadette FAYE, Florian LUCA, Alain TOGBE

104102

On the exponential Diophantine equation $P_n^x+P_{n+1}^x=P_m$

In this paper, we find all the solutions of the title Diophantine equation in nonnegative integer variables $(m, n, x)$, where $P_k$ is the $k$th term of the Pell sequence.
Keywords:

Pell numbers, linear form in logarithms, reduction method,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
Arşiv
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