tailieunhanh - Multiplicative number theory

The prime number theorem, first results on multiplicative functions, integers without large prime factors, proof of Delange’s Theorem, deducing the prime number theorem from Hal´asz’s theorem,. as the main contents of the document "Multiplicative number theory". Invite you to refer to the document content more learning materials and research. | Multiplicative number theory Andrew Granville Université de Montreal K. Soundararajan Stanford University 2011 The Snowbird version Please do not circulate This is an early draft of the book we are writing on the subject. You will find that the first eight or so chapters are written reasonably carefully. After that well it s varied. Hopefully the ideas are understandable even if the writing is not as clean as it might be. This edition of the notes includes open problems you are invited to solve some of them We hope that the theory will be a lot cleaner by the time that the book comes to print thanks to the efforts of some of the participants here at Snowbird. If you do solve some of the questions here you are welcome to go ahead and publish your results of course. However please do not reference this version of the book since it will soon be outdated. We can help you with references if needs .