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diophantine dquation 不定方程
An elementary proof of the Diophantine equation (The equation abbreviated) is given by using recursion sequence method. 摘要运用递推序列法，给出组合数丢番图方程(方程式略)的一个初等解法。
The parameters of the controllers are directly determined by successively solving two Diophantine equations. 通过有步骤地解两个刁番都方程来直接确定控制器的各个参数。
This paper introduce a kind of generalized Catalan number, give it combinational and obtain the solution of some Diophantine equation. 引进了一类广义Catalan数;并赋予这类广义Catalan数组合意义;用这类广义Catalan数得到一类不定方程的解数.
Conventional predictive control algorithm possesses good overall performance, but it needs to solve the complicated Diophantine equation. 摘要传统的预测控制算法虽然有着良好的性能，但是需要求解复杂的丢番图方程。
In this paper,the author has proved that the Diophantine y(y+1)(y+2)(y+3)=nx(x+1)(x+2)(x+3) has no integer solutions when n=13~(2k),k is a natural number . 本文用初等方法证明了不定方程y(y+1)(y+2)(y+3)=nx(x+1)(x+2)(x+3)在n=13~(2k)(k为自然数)时无解.
In this paper,we proposed the average order of the Primitive Pythagorean triplets on Diophantine equation a+4+b+2=c+2, and presented one asymptotic estimation formula. 研究了不定方程 a4+b2 =c2 的整数解的组数 ;并得到它的一个渐近估计式 .
In this paper we study systems of Diophantine inequalities and equations with prime numbers. We improve previous results by more delicate estimates of exponential sums. 本文研究了和素数有关的方程组和不等式组.;通过更细致的指数和估计;我们改进了以前的结果
Diophantine equation is an old problem, especially, it's more difficult to apply primary method to resolve the problems related to Diophantine equation. 不定方程是一个古老的丢番图问题，特别是应用初等方法去解决不定方程的有关问题更是不宜；
By elementary rank transformations of matrix, a method has been obtained to solve linear diophantine equation with some variables. The method overcomes the deficiency of traditional method. 摘要利用矩阵的初等列变换，给出了求解多元线性不定方程的一种方法，该方法改进了传统方法计算量大、步骤多的缺点。
State the Diophantine Approximation Theorem in Section V.3 on p.153( restate it if it is stated in the previous lecture), and continue through to the end of the section, which gives a sketch of the proof. 大略证明是重要的，这是因为一旦开始就容易迷失在证明的细节?A所以我们要记住真正的目的。
This paper is a brief introduction of some recent results concerninginteger solutions of exponential diophantine equations, such as S-unit equation,equationof Ramanujan-Nagell,of Thue-Mahler,of LeVeque,of Catalan,of Pillai. 本文简要地介绍了有关S－单位方程、Ramanujan－Nagell方程、Thue－Mahler方程，LeVeque方程、Catalan方程、Pillai方程等指数型丢番图方程整数解的最新结果。
In this paper, we set up trapdoor one way functions using diophantine equations of k degree (2Xk) with more than two variables, using these functions a new public key cryptosy-stems can be set up. 运用多元k次(k是奇数)丢番图方程构造了一类陷门单向函数;用它们可以建立一种新的公开钥密码.
Another name of indeterminate equation is Diophantine equation, it’s an important branch of the number theory, and also the most active in the field of mathematics through the whole history. 不定方程又称为丢番图方程，是数论的重要分支学科，是历史上最活跃的数学领域之一。
A Diophantine Equation in Combinatorial Theory 组合理论中的一个丢番图方程
On Integer Solutions to a Diophantine Equation 一类丢番图方程的解
ON THE DIOPHANTINE EQUAFIONa~x-b~y=2, max(a,b)<200 关于Diophantus方程a~x-b~y=2;max(a;b)<200
ON THE DIOPHANTINE EQUATION x~3+y~3+z~3=xyz 关于方程x~3+y~3+z~3=xyz
ON THE DIOPHANTINE EQUATIONS am-kbn=2 AND am-lbn=1 关于丢番图方程a~m-kb~n=2和a~m-lb~n=1
ON THE DIOPHANTINE EQUATION 6y~2 = x(x + l)(2x +1) 方程6y~2=x(x+1)(2x+1)的解的初等证明

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