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数论中未解决的问题（第三版）
作者：（加）盖伊（Guy，R.K.） 著
出版社：科学出版社
出版时间：2007-01-01
ISBN：9787030182937
定价：¥78.00
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内容简介
数学因新的问题的出现而保持活力，问题来源于数学自身，也来自日益增多的需要运用数学的各种学科。本书含有大量或许不易解决但浅显易懂的问题，这些问题可被数学素养程度不等的数学家在不同的深度上加以研究。新版添加了关于对称素数和非对称素数、高阶幂求和、丢番图多元组、康韦RATS及回文数等方面的问题。在某些章节之后，作者还添加了非常有用而特别的部分：在OEIS（Neil Sloane的整数列的网上百科全书）中可查到的参考文献。...
作者简介
暂缺《数论中未解决的问题（第三版）》作者简介
目录
Preface to the Third Edition
Preface to the Second Edition
Preface to the First Edition
Glossary of Symbols
Introduction
A.Prime Numbers
A1.Prime values of quadratic functions.
A2.Primes connected with factorials.
A3.Mersenne primes.Repunits.Fermat numbers.Primes of shape k.2n+1.
A4.The prime number race.
A5.Arithmetic progressions of primes.
A6.Consecutive primes in A.P.
A7.Cunningham chains.
A8.Gaps between primes. Twin primes.
A9.Patterns of primes.
A10.Gilbreath's conjeoture.
A11.Increasing and decreasing gaps.
A12.Pseudoprimes.Euler pseudoprimes.Strong pseudoprimes.
A13.Carmichael numbers.
A14."Good"primes and the prime number graph.
A15.Congruent products of consecutive numbers.
A16.Gaussian and Eisenstien-Jacobi primes.
A17.Formulas for primes.
A18.The Erdos-Selfridge classification of primes.
A19.Values of n making n-2k prime.Odd numbers not of the form pa 2b
A20.Symmetric and asymmetric primes.
B.Divisibility
C.Additive Number Theory
D.Diophantine Equations
E.Sequences of Integers
F.None of the Above
Index of Authors Cited
General Index
Preface to the Second Edition
Preface to the First Edition
Glossary of Symbols
Introduction
A.Prime Numbers
A1.Prime values of quadratic functions.
A2.Primes connected with factorials.
A3.Mersenne primes.Repunits.Fermat numbers.Primes of shape k.2n+1.
A4.The prime number race.
A5.Arithmetic progressions of primes.
A6.Consecutive primes in A.P.
A7.Cunningham chains.
A8.Gaps between primes. Twin primes.
A9.Patterns of primes.
A10.Gilbreath's conjeoture.
A11.Increasing and decreasing gaps.
A12.Pseudoprimes.Euler pseudoprimes.Strong pseudoprimes.
A13.Carmichael numbers.
A14."Good"primes and the prime number graph.
A15.Congruent products of consecutive numbers.
A16.Gaussian and Eisenstien-Jacobi primes.
A17.Formulas for primes.
A18.The Erdos-Selfridge classification of primes.
A19.Values of n making n-2k prime.Odd numbers not of the form pa 2b
A20.Symmetric and asymmetric primes.
B.Divisibility
C.Additive Number Theory
D.Diophantine Equations
E.Sequences of Integers
F.None of the Above
Index of Authors Cited
General Index
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