Scientific journal paper Q2
The Diophantine equation Qxn + Qxn+1 = y2
Sérgio Mendes (Mendes, S.);
Journal Title
Integers
Year (definitive publication)
2026
Language
English
Country
United States of America
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(Last checked: 2026-08-04 04:14)

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Abstract
We show that the Diophantine equation Qxn + Qxn+1 = y2, where Qn is the n-th Pell–Lucas number, has only one nonnegative integer solution.
Acknowledgements
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Keywords
  • Mathematics - Natural Sciences
Funding Records
Funding Reference Funding Entity
UIDB/00212/2020 Fundação para a Ciência e a Tecnologia

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