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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？s 13

Old and New Proofs of the Erd？s-Ko-Rado Theorem P.Frankl and R.L.Graham 21

第二编 学术论文 39

Decompositions into Four Cubes Chao Ko 39

On a Waring's Problem with Squares of Linear Forms Chao Ko 41

On the Representation of a Quadratic Form as a Sum of Squares of Linear Forms Chao Ko 57

Note on the Lattice Points in a Parallelepiped Chao Ko 78

Note on the Euclidean Algorithm Paul Erd？s and Chao Ko 87

Note on the Representation of a Quadratic Form as a Sum of Squares of Linear Forms Chao Ko 93

Determination of the Class Number of Positive Quadratic Forms in Nine Variables with Determinant Unity chao Ko 96

Some Results on Definite Quadratic Forms paul Erd？s and Chao Ko 108

On the Decomposition of Quadratic Forms in Six Variables Chao Ko 117

On the Positive Definite Quadratic Forms with Determinant Unity Chao Ko 134

On Definite Quadratic Forms,which are not the Sum of Two Definite or Semi-Definite Forms paul Erd？s and Chao Ko 141

Note on a Theorem on Matrices Chao Ko and H.C.Lee 163

A Further Generalization of the Hamilton-Cayley Theorem Chao Ko and H.C.Lee 168

On Semi-Automorphisms in Matrix Algebra Chao Ko and H.C.Lee 175

Note on the Diophantine Equation xxyy=zz Chao Ko 178

On the Meyer's Theorem and the Decomposition of Quadratic Forms Chao Ko 180

On the Decomposition of Quadratic Forms in Seven Variables Chao Ko 194

On the Decomposi tion of Quadratic Forms in Eight Variables Chao Ko 198

Table of Primitive Positive Quaternary Quadratic Forms with Determinants≤25 Chao Ko and S.C.Wang 202

Some New Proofs of Smith's Theorem Chao Ko 209

On the Decomposition of Quadratic Forms in Eight Variables Chao Ko 214

On the Equivalence of Positive Definite Quadratic and Hermitian Forms Chao Ko and Fu-Tsu Chu 218

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.Rado 372

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