第四节Extended Euclidean Algorithm and Fundamental Theorem of Arithmetic 扩展欧几里得算法与算术基本定理 第五节Linear Diophantine Equations 线性丢番图方程 第六节Linear Congruences 线性同余(包含中国剩余定理) 第七节The Arithmetic of Z_p Z_p上的计算(包含费马小定理与伪素数) 第八节Congruences (mod p^...
and cryptographyCheck digitsAffine cryptographyCryptographic system RSA#The role of integers#Basic structure#Euclidean algorithm#Lattice of divisors#Diophantine equations#Non-negative solutions of diophantine equations#Systems of linear diophantine equations#Notation - representation of integers#Congruences in #...
In the set ℕ of all positive integers we can perform two basic operations: addition and multiplication. In this chapter we will be primarily concerned with the second operation. Preview Unable to display preview.Download preview PDF. Selected References ...
A Lemma on Divisibility.The article presents the two methods of proving the unique factorisation theorem for integers-the Euclidean algorithm and the method that uses an ingenious induction over the integers.EBSCO_AspAmerican Mathematical Monthly
IDENTITIES (Mathematics)EUCLIDEAN algorithmDIVISIBILITY groupsIn this paper, we first prove two new identities concerning the q-integers and then for these integers we derive several divisibility properties based on these identities and on properties of the q-integers....