《An Introduction To The Theory of Numbers》求取 ⇩
作者 | I.M.Vinogradov 编者 |
---|---|
出版 | Pergmon Press |
参考页数 | 155 ✅ 真实服务 非骗流量 ❤️ |
出版时间 | 1955(求助前请核对) 目录预览 |
ISBN号 | 无 — 违规投诉 / 求助条款 |
PDF编号 | 813506498(学习资料 勿作它用) |
求助格式 | 扫描PDF(若分多册发行,每次仅能受理1册) |
1THE THEORY OF DIVISIBILITY1
1 Fundamental concepts and theorems1
2 The greatest common divisor2
3 The least common multiple5
4 The Euclidean Algorithm and continued fractions7
5 Prime numbers11
6 Uniqueness of factorization into prime factors12
Problems for Chapter 114
Numerical examples for Chapter 116
2FUNDAMENTAL FUNCTIONS OF THE THEORY OF NUMBERS17
1 Functions [x],{x}17
2 Summation over divisors of an integer18
3 The Moebius function19
4 Euler's function20
Problems for Chapter 222
Numerical examples for Chapter 230
3CONGRUENCES31
1 Fundamental concepts31
2 Properties of congruences similar to properties of equalities32
2 Further properties of congruences34
4 Complete system of residues35
5 The reduced system of residues36
6 Theorems of Euler and Fermat37
Problems for Chapter 338
Numerical examples for Chapter 343
4LINEAR CONGRUENCES44
1 Fundamental concepts44
2 Linear congruences44
3 Simultaneous linear congruences47
4 Congruences of any degree to a prime modulus48
5 Congruences of any degree to a composite modulus49
Problems for Chapter 452
Numerical examples for Chapter 456
5QUADRATIC CONGRUENCES58
1 General theorems58
2 Legendre's symbol59
3 Jacobi's symbol64
4 The case of a composite modulus67
Problems for Chapter 570
Numerical examples for Chapter 575
6PRIMITIVE ROOTS AND INDICES76
1 General theorems76
2 Primitive roots to moduli pα and 2pα76
3 Finding primitive roots to moduli pα and 2pα78
4 Indices to moduli pα and 2pα79
5 Applications of the theory of indices81
6 Indices to modulus 2α84
7 Indices to any composite modulus86
Problems for Chapter 687
Numerical examples for Chapter 693
SOLUTIONS TO PROBLEMS95
Solutions to Chapter 195
Solutions to Chapter 298
Solutions to Chapter 3111
Solutions to Chapter 4120
Solutions to Chapter 5126
Solutions to Chapter 6135
ANSWERS TO NUMERICAL EXAMPLES145
Answers to Chapter 1145
Answers to Chapter 2145
Answers to Chapter 3145
Answers to Chapter 4145
Answers to Chapter 5146
Answers to Chapter 6146
Tables of Indices148
Table of Odd Primes < 4000 and of their least primitive roots154
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