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.
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