Solution of certain Pell equations
DOI10.1142/S1793557118500560zbMath1429.11062arXiv1402.5206OpenAlexW2963363081MaRDI QIDQ4578321
Zahid Raza, Hafsa Masood Malik
Publication date: 8 August 2018
Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1402.5206
cyclebinary quadratic formPell equationcontinued fractioninteger solutionproper cyclegeneralized Fibonacci and Lucas sequence
Quadratic and bilinear Diophantine equations (11D09) Counting solutions of Diophantine equations (11D45) Congruences in many variables (11D79) Continued fractions (11A55) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Sequences (mod (m)) (11B50)
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Cites Work
- Solutions of some quadratic Diophantine equations
- Binary quadratic forms. An algorithmic approach
- Solving the Pell equation using the fundamental element of the field \(\mathbb Q(\sqrt\Delta)\)
- Solving the Pell equation
- The Diophantine equation \(x^2 - Dy^2 = N\), \(D>0\)
- The Generalized Fibonacci and Lucas Solutions of The Pell Equations x^2-(a^2b^2-b)y^2=N and x^2-(a^2b^2-2b)y^2=N
- The Fibonacci Numbers: Exposed
- My Numbers, My Friends
- Pell's equation
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