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| 折扣與優(yōu)惠：團購最低可5折優(yōu)惠 - 了解詳情 | 論文格式：Word格式(*.doc) |  |
摘要:關于Pell方程的相關理論前人已經有了很多的研究，但是在其具體的解題方法上還存在著解法單一或者找不到解題方法的問題，為了解決這一問題。本文主要以x2-Dy2=C型的Pell方程的整數解的求解方法為研究對象。通過對其基本解的探討，歸納出幾種求解Pell方程x2-Dy2=C的整數解的方法，包括同余法、連分數法、變換法、矩陣法和公式法，其中公式法是本文研究得出的一種新方法。本文中應用上述的一些方法對具體的問題進行求解，希望最終能夠實現一題多解，解法多樣化的目的。 關鍵詞： Pell方程；基本解；整數解
ABSTRACT:There were lots of researches about the theories related to Pell equation, however, when it comes to the specific solution methods, it still exists the problems of single solution and finding no solution method. In order to solve these problems, this paper focused on to research the methods of solving the Integer solution of the x2-Dy2=C typed Pell equation. Basing on the fundamental solution, we had summarized several solution methods of the Integer solution of Pell equation x2-Dy2=C, including the congruence, continued fraction method, variation method, the matrix method and the formula method, in which the formula method proposed in this paper is a new method. This paper had used some of the above method to deal with the specific problems, hoping to be able to achieve the goal of several solutions to one problem, and the diversification of the solutions ultimately. Keywords: Pell equation; fundamental solution; integer solution
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