Pell-Type Equations

  • Titu AndreescuEmail author
  • Dorin Andrica
  • Ion Cucurezeanu


In 1909, A. Thue proved the following important theorem: Let f = a n z n +a n -1zn-1+…+a1z+a0 be an irreducible polynomial of degree ≥ 3 with integral coefficients. Consider the corresponding homogeneous polynomial


Positive Integer Fundamental Solution Integral Solution Diophantine Equation Great Common Divisor 
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Copyright information

© Birkhäuser Boston 2009

Authors and Affiliations

  • Titu Andreescu
    • 1
    Email author
  • Dorin Andrica
    • 2
    • 3
  • Ion Cucurezeanu
    • 4
  1. 1.School of Natural Sciences and MathematicsUniversity of Texas at DallasRichardsonUSA
  2. 2.Faculty of Mathematics and Computer ScienceBabeş-Bolyai UniversityCluj-NapocaRomania
  3. 3.Department of Mathematics College of ScienceKing Saud UniversityRiyadhSaudi Arabia
  4. 4.Faculty of Mathematics and Computer ScienceOvidius University of ConstantaConstantaRomania

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