Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. In particular their finer distribution is closely connected with the Riemann hypothesis, the most important unsolved problem in the mathematical world. Assuming only subjects covered in a standard degree in mathematics, the authors comprehensively cover all the topics met in first courses on multiplicative number theory and the distribution of prime numbers. They bring their extensive and distinguished research expertise to bear in preparing the student for intelligent reading of the more advanced research literature. This 2006 text, which is based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State, is enriched by comprehensive historical notes and references as well as over 500 exercises.

Numbers, Prime. --- Number theory. --- Number study --- Numbers, Theory of --- Algebra --- Prime numbers --- Numbers, Natural

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Prime ministers --- Yoshida, Shigeru, --- Japan --- Politics and government

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Prime ministers --- Interviews --- Zhao, Ziyang. --- China --- Politics and government

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book seeks to describe the rapid development in recent decades of sieve methods able to detect prime numbers. The subject began with Eratosthenes in antiquity, took on new shape with Legendre's form of the sieve, was substantially reworked by Ivan M. Vinogradov and Yuri V. Linnik, but came into its own with Robert C. Vaughan and important contributions from others, notably Roger Heath-Brown and Henryk Iwaniec. Prime-Detecting Sieves breaks new ground by bringing together several different types of problems that have been tackled with modern sieve methods and by discussing the ideas common to each, in particular the use of Type I and Type II information. No other book has undertaken such a systematic treatment of prime-detecting sieves. Among the many topics Glyn Harman covers are primes in short intervals, the greatest prime factor of the sequence of shifted primes, Goldbach numbers in short intervals, the distribution of Gaussian primes, and the recent work of John Friedlander and Iwaniec on primes that are a sum of a square and a fourth power, and Heath-Brown's work on primes represented as a cube plus twice a cube. This book contains much that is accessible to beginning graduate students, yet also provides insights that will benefit established researchers.

Sieves (Mathematics) --- Numbers, Prime. --- Number theory. --- Number study --- Numbers, Theory of --- Algebra --- Prime numbers --- Numbers, Natural --- Number sieves --- Number theory

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Tony Blair has dominated British political life for more than a decade. Like Margaret Thatcher before him, he has changed the terms of political debate and provoked as much condemnation as admiration. At the end of his era in power, this book presents a wide-ranging overview of the achievements and failures of the Blair governments. Bringing together Britain's most eminent academics and commentators on British politics and society, it examines the effect of the Prime Minister and his administration on the machinery of government, economic and social policy and foreign relations. Combining serious scholarship with clarity and accessibility, this book represents the authoritative verdict on the impact of the Blair years on British politics and society.

Ex-prime ministers --- Blair, Tony, --- Influence --- Great Britain --- Politics and government --- #SBIB:328H214 --- Instellingen en beleid: Verenigd Koninkrijk --- Former prime ministers --- Prime ministers --- Blair, Anthony Charles Lynton, --- Blėr, Ėntony, --- Blėr, Toni, --- Influence. --- Blair, Tony --- Social Sciences --- Political Science --- Ex-prime ministers - Great Britain --- Blair, Tony, - 1953- - Influence --- Great Britain - Politics and government - 1997 --- -Ex-prime ministers --- Blair, Tony, - 1953 --- -Great Britain