Quadratic Diophantine Equations

• Main Authors: Andreescu, Titu (Author), Andrica, Dorin (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2015.
• Series: Developments in Mathematics, 40
• Subjects: Mathematics.; Algebra.; Number theory.; Number Theory.

This monograph treats the classical theory of quadratic Diophantine equations and guides the reader through the last two decades of computational techniques and progress in the area. These new techniques combined with the latest increases in computational power shed new light on important open probl...

Table of Contents:

• Why Quadratic Diophantine Equations?
• Continued Fractions, Diophantine Approximation and Quadratic Rings
• Pell's Equation
• General Pell's Equation
• Equations Reducible to Pell's Type Equations
• Diophantine Representations of Some Sequences
• Other Applications.