On Large Rational Solutions of Cubic Thue Equations: What Thue Did to Pell
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چکیده
In 1657, French lawyer and amateur mathematician Pierre de Fermat became interested in positive integer solutions u and v to the equation u − 61 v = 1. He posed a sadistic challenge to established mathematicians of the day, such as the Englishman William Brouncker and John Wallis, asking if they could find the solutions he found – without telling them the answer, of course. See, Fermat had found the solution
منابع مشابه
On Large Rational Solutions of Cubic Thue Equations: What Thue Did to Pell
The paper is largely expository. The first part is devoted to studying integer solutions to Pell’s Equation: u2 − dv2 = 1. The authors present the classic construction of a fundamental solution via continued fractions, from which all solutions can be derived. The primary focus of the second part is on rational solutions to the Thue’s equation, u3−dv3 = 1. The authors explain why these rational ...
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تاریخ انتشار 2006