論部分馬可夫數之解
On the Solutions of Certain Markoff Numbers
論部分馬可夫數之解
On the Solutions of Certain Markoff Numbers
Date
2007
Authors
沈雅引
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
這篇論文主要是，藉由探討馬可夫方程式的解（a,b,c)與斐波那契（Fibnacci）數列、佩爾（pell）數列間特殊的關係，加以證明：當c是5乘以一個質數的n次方的形式時，其中這個質數被4除餘1，若a<13，此方程式只有（2，169，985）唯一一組解。
In this dissertation, by virtue of the relation between the solutions (a, b, c) of the Markoff equation and Fibonacci numbers, Pell numbers, we show that if c = 5p^n where p is a prime congruent to 1 modulo 4, and a< 13 then (2, 169, 985) is the unique solution of Markoff equation.
In this dissertation, by virtue of the relation between the solutions (a, b, c) of the Markoff equation and Fibonacci numbers, Pell numbers, we show that if c = 5p^n where p is a prime congruent to 1 modulo 4, and a< 13 then (2, 169, 985) is the unique solution of Markoff equation.
Description
Keywords
馬可夫方程式,
馬可夫數,
Markoff equation,
Markoff number