Introduction to Diophantine Equations[M].Harbin: the Press of Harbin Institute of Technolo gy 1989.Z.F. Cao, Introduction to Diophantine Equations, Harbin Institute Technology Press, Harbin, 1989. MR92e:11018.Cao Zhenfu. Introduction to Diophantine equations(Chinese)[M]. Harbin:Harbin Institute ...
This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations, as well as exponential ...
On the Diophantine Equation Dx^2+1=ca(superscript n) 指数丢番图方程二次方程阶exponential diophantine equationsquadratic equationsorderLet c and a be positive integers, and let D be a positive integer coprime ... PZ Yuan - 黑龍江大學自然科學學報 被引量: 11发表: 2005年 The relationship between...
1.2 Diophantine Equations of Degree One and Two 1.3 Cubic Diophantine Equations 1.4 Approximations and Continued Fractions 1.5 Diophantine Approximation and the Irrationality 2 Some Applications of Elementary Number Theory 2.1 Factorization and Public Key Cryptosystems ...
Diophantine Equations Fermat's Theorem If n is a prime p=4m+1, then the diophantine equation x^2+y^2=n is soluble. Proof. There is a number x, s.t. x^2\equiv-1 (\mod p). We only need to consider x=1,2,...,p-1. If there is no such x, then (p-1)!\equiv\prod xy...
The chapter on Diophantine equations contains discussions of Pell's equation, Thue's equation, Mordell's equation y 2 =x 3 +k (with an outline of elliptic curves), and the Fermat equation (with proofs for exponent 3 and 4) and Catalan equation. Of course, the theme of linear forms in...
Diophantine Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 Chapter 7. Combinatorial Number Theory . . . . . . . . . . . . . . . . . . . . . . . . . . 59 Chapter 8. Geometry of Numbers . . . . . ....
Diophantine geometry Pages 83-94 Géométrie diophantienne multiprojective Pages 95-131 Criteria for algebraic independence Pages 133-141 Upper bounds for (geometric) Hilbert functions Pages 143-148 Multiplicity estimates for solutions of algebraic differential equations Pages 149-165 Zero ...
The chapter on Diophantine equations contains discussions of Pell's equation, Thue's equation, Mordell's equation y 2 =x 3 +k (with an outline of elliptic curves), and the Fermat equation (with proofs for exponent 3 and 4) and Catalan equation. Of course, the theme of linear forms in...