TY - BOOK ID - 7228412 TI - Multiplicative number theory I AU - Montgomery, Hugh L AU - Vaughan, R C PY - 2007 VL - 97 SN - 9780521849036 0521849039 9780511618314 9781107405820 9780511256455 0511256450 051161831X 1107405823 110716477X 1280709979 9786610709977 0511256965 0511257465 0511255888 0511319584 PB - Cambridge Cambridge University Press DB - UniCat KW - Numbers, Prime. KW - Number theory. KW - Number study KW - Numbers, Theory of KW - Algebra KW - Prime numbers KW - Numbers, Natural UR - https://www.unicat.be/uniCat?func=search&query=sysid:7228412 AB - 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. ER -