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第一编 传记及祝贺文章3

柯召传 白苏华3

祝贺柯老从事科研教学五十五周年——在第四届全国数论学术会议开幕式上的讲话 王元11

On Some Problems and Results in Elementary Number Theory Paul Erd？s13

Old and New Proofs of the Erd？s-Ko-Rado Theorem P.Frankl and R.L.Graham21

第二编 学术论文39

Decompositions into Four Cubes Chao Ko39

On a Waring's Problem with Squares of Linear Forms Chao Ko41

On the Representation of a Quadratic Form as a Sum of Squares of Linear Forms Chao Ko57

Note on the Lattice Points in a Parallelepiped Chao Ko78

Note on the Euclidean Algorithm Paul Erd？s and Chao Ko87

Note on the Representation of a Quadratic Form as a Sum of Squares of Linear Forms Chao Ko93

Determination of the Class Number of Positive Quadratic Forms in Nine Variables with Determinant Unity chao Ko96

Some Results on Definite Quadratic Forms paul Erd？s and Chao Ko108

On the Decomposition of Quadratic Forms in Six Variables Chao Ko117

On the Positive Definite Quadratic Forms with Determinant Unity Chao Ko134

On Definite Quadratic Forms,which are not the Sum of Two Definite or Semi-Definite Forms paul Erd？s and Chao Ko141

Note on a Theorem on Matrices Chao Ko and H.C.Lee163

A Further Generalization of the Hamilton-Cayley Theorem Chao Ko and H.C.Lee168

On Semi-Automorphisms in Matrix Algebra Chao Ko and H.C.Lee175

Note on the Diophantine Equation xxyy=zz Chao Ko178

On the Meyer's Theorem and the Decomposition of Quadratic Forms Chao Ko180

On the Decomposition of Quadratic Forms in Seven Variables Chao Ko194

On the Decomposi tion of Quadratic Forms in Eight Variables Chao Ko198

Table of Primitive Positive Quaternary Quadratic Forms with Determinants≤25 Chao Ko and S.C.Wang202

Some New Proofs of Smith's Theorem Chao Ko209

On the Decomposition of Quadratic Forms in Eight Variables Chao Ko214

On the Equivalence of Positive Definite Quadratic and Hermitian Forms Chao Ko and Fu-Tsu Chu218

关于方程ax+by+cz=n 柯召225

表三元二次型为平方和的问题 柯召229

一个关于二次型的问题 柯召242

关于丢番都方程xyyx=zz,xyyz=zx和xxyz=zy 柯召253

关于行列式等于1的12元和13元恒正二次型 柯召261

关于商高数 柯召274

关于Jesmanowicz的猜测 柯召281

关于行列式等于1的14元恒正二次型 柯召290

关于行列式等于1的15元恒正二次型 柯召319

关于丢番都方程(a2-b2)x+(2ab)y=(a2+b2)z 柯召336

关于行列式为1的恒正二次型 柯召346

关于xyz=x+y+z 柯召354

关于方程x3+y3+z3=xyz 柯召360

Intersection Theorems for Systems of Finite Sets P.Erd？s,Chao Ko and R.Rado372

关于方程x2=yn+1,xy≠0 柯召383

关于连续数的一个问题 柯召388

关于方程？(x-j)n=？(x+j)n 柯召393

关于Catalan问题 柯召403

附录：柯召先生主要著作目录412

后记419