Elementary Methods for Solving Diophantine Equations

  • Titu AndreescuEmail author
  • Dorin Andrica
  • Ion Cucurezeanu


Given the equation f(x1, x2, …, xn) = 0, we write it in the equivalent form
$$f_1(x_1, x_2, \ldots , x_n)f_2(x_1, x_2, \ldots , x_n) \cdots f_k(x_1, x_2, \ldots, x_n) = a,$$


Positive Integer Nonnegative Integer Prime Divisor Integral Solution Integer Solution 
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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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