數論中未解決的問題

數論中未解決的問題

《數論中未解決的問題》是2007年1月4日科學出版社有限責任公司出版的圖書,作者是蓋伊。本書講述了數論中尚未解決的一些問題和猜想。

基本信息

內容簡介

《國外數學名著系列(影印版)29:數論中未解決的問題(第3版)》分題目列出了數論中尚未解決的一些問題和猜想,對開展研究工作有很好的指導意義並指明了一些研究方向。

目錄

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

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