位置：成果数据库 > 期刊 > 期刊详情页
关于丢番图方程x~3＋y~3=2z~（2n）
  • ISSN号：1000-5471
  • 期刊名称：《西南师范大学学报：自然科学版》
  • 时间：0
  • 分类：O156[理学—数学;理学—基础数学]
  • 作者机构：[1]肇庆学院数学与统计学院,广东肇庆526061
  • 相关基金：国家自然科学基金资助项目（11171295,11301474）; 广东省自然科学基金资助项目（S2012040007653）; 肇庆学院科研基金资助项目
作者： 柏萌[1], 张中峰[1]
关键词： 丢番图方程, 椭圆曲线, 参数解, Diophantine equation； elliptic curve, parametric solution
中文摘要：

利用丢番图方程x3＋y3=2z2的参数解,给出了广义费马方程x3＋y3=2z2n（n≥2）的满足x,y互素的整数解.

英文摘要：

In this paper,by means of the parametric solution of Diophantine equation x3＋y3=2z2,the integer solution to the generalized Fermat equation x3＋y3=2z2n（n≥2）with x,ycoprime has been given.

同期刊论文项目
带时滞项肿瘤生长自由边界问题的定性分析
期刊论文 6
非自伴微分算子谱理论及其应用
期刊论文 68 著作 3
同项目期刊论文
DISSPATIVE NON-SELF-ADJOINT STURM-LIOUVILLE OPERATORS AND COMPLETENESS OF THEIR EIGENFUNCTIONS
具有周期复系数的二阶非自伴微分算子的谱
The Essential Spectrum of Conjugate Self-Adjoint Operators
具有扩散病毒感染群体动力学模型的稳定性与Hopf分歧
Solution of linear system of fractional differential equations
权函数w1 时二阶左定Sturm-Liouville问题特征值的渐近式
A LINE PROJECTION METHOD FOR SOLVING LINEAR SYSTEM OF EQUATIONS
On the effective region of convergence of the decomposition series solution
四阶Lagurre微分方程的左定空间和左定算子
Fractional diffusion equation in half-space with Robin boundary condition
Analysis of a Mathematical Model for Necrotic Solid Avascular Tumor Growth with Time Delays in Regu
A new modified Adomian decomposition method and its multistage form for solving nonlinear boundary
Analysis of a time-delayed mathematical model for tumour growth with inhibitors
具有周期复系数的二阶非自伴微分算子的连续谱
The Spectra of Self-Adjoint Operators Pencil and Its Applications
自共轭算子束的谱及其应用
Fractional diffusion-wave equations on finite interval by Laplace transform
The Relationships among multiplicities of a J-self-adjoint differential operator's eigenvalu
Eigenvalue problems for fractional ordinary differential equations
Solution of Quadratic Integral Equations by the Adomian Decomposition Method
On a size-structured population model with infinite states-at-birth and distributed delay in birth
Relationships among Three Multiplicities of a Differential Operator’s Eigenvalue
Expansion of eigenfunctions of regular J-self-adjoint differential operators
The zeros of the solutions of the fractional oscillation equation
具有周期实系数的2n阶微分算子的谱
边条件含特征参数Sturm-Liouville问题的特征值不等式及逆问题
边条件含谱参数的Sturm-Liouville问题的特征值不等式
关于丢番图方程x3+y3=2z2n
带分布时滞的具有尺度结构的种群模型的异步指数增长
Stability of solutions to a mathematical model for necrotic tumor growth with time delays in prolife
Global Existence and Uniqueness of Solutions for a Free Boundary Problem Modeling the Growth of Tumo
Stability of Solutions to a Free Boundary Problem for Tumor Growth
Steady-State Analysis of Necrotic Core Formation for Solid Avascular Tumors with Time Delays in Regu
On a two-phase size-structured population model with infinite states-at-birth and distributed delay
 Qualitative analysis of a mathematical model for tumor growth with a periodic supply of e
带分布时滞的具有尺度结构的种群模型的平衡指数增长[
边条件含特征参数的Sturm-Liouville问题的特征值不等式
Lévy stable distribution and space-fractional Fokker-Planck type equation
2 阶周期微分算子的最小特征值问题
Time delays in proliferation process for solid avascular tumor under the action of external inhibito
Algebro-geometric Solutions for the Derivative Burgers (DB) Hierarchy
具有周期复系数的2n阶微分算子的谱
Sturm-Liouville问题的m-函数与谱
Expansion of eigenfunctions of regular J-self-adjoint differential operators
一类四阶奇异微分算子的左定边界条件
一类两端奇异带有转移条件的S—L问题的Weyl矩阵与谱矩阵
一类奇异三阶微分方程三点边值问题正解的存在性
不定度规空间上的一类带有移条件的Sturm—Liouville问题的自共轭性
Left-definite boundary conditions of Sturm-Liouville problems when the interval shrinks to a point
边界条件中带有谱参数且具有k点不连续的Sturm-Liouville问题
两项自伴向量微分算子的谱是离散的充分条件(英文)
Equality of multiplicities of a Sturm-Liouville eigenvalue
Parametrized temperature distribution and efficiency of convective straight fins with temperature-de
Analysis of a solid avascular tumor growth model with time delays in proliferation process
带分布时滞的具有尺度结构的种群模型的平衡指数增长
Global stability of solutions to a free boundary problem of ductal carcinoma in situ
Analysis of a time-delayed mathematical model for solid avascular tumor growth under the action of e
Analysis of a free boundary problem for tumor growth in a periodic external environment
Qualitative analysis of a mathematical model for tumor growth under the effect of periodic therapy
具有周期实系数的2 阶微分算子的谱间隙
具有复系数二阶Sturm-Liouville差分方程的极限点与极限圆
五阶微分算子自伴域的解析描述
Time delays in proliferation process for solid avascular tumor under the action of external inhibitors
带分布时滞的具有尺度结构的种群模型的异步指数增长
带分布时滞的具有尺度结构的种群模型的平衡指数增长
一类KdV-Burgers方程的概周期解
Time delays in proliferation process for solid avascular tumor under the action of external inhibitors
具有阻尼和Marangoni效应的KdV-KSV方程时间周期解的存在性
期刊信息
  • 《西南师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:西南大学
  • 主编：李明
  • 地址：重庆市北碚区天生路2号
  • 邮编：400715
  • 邮箱：xhtang@swu.cn
  • 电话：023-68252540
  • 国际标准刊号：ISSN：1000-5471
  • 国内统一刊号：ISSN：50-1045/N
  • 邮发代号:78-22
  • 获奖情况:
  • 全国高校优秀学报,重庆市十佳科技期刊,重庆市一级期刊
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:17791