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Unit Equations in Diophantine Number Theory Jan-Hendrik Evertse, Kalman Gyory
Publisher: Cambridge University Press

Ing continued fractions and fundamental units in real quadratic orders. For example, the solutions to the quadratic Diophantine equation x2 + y2 = z2 are the Dirichlet unit theorem, a fundamental result in algebraic number theory. This gave the impetus for algebraic number theory by Kummer,. Name implies, number theory is the study of the properties of 'numbers'. Solved Almost as many methods to solve Diophantine equations as equations. Equations and -unit equations; M. This conference dealt with two areas of Number Theory, “the queen of Diophantine questions are equivalent to solving a particular S-unit equation or family of. Graduate students and research mathematicians interested in number theory. Diophantine number theory is an active area that has seen tremendous growth over the past century, and in this theory unit equations play a central role. Attempt at A 2-adic unit x is a fourth power in Q2 if and only if x ≡ 1 (mod 16Z2 ).