Excursions in Multiplicative Number Theory : Birkhauser : 9783030731717 : 3030731715 : 05 Mar 2023 : This textbook offers a unique exploration of analytic number theory that is focused on explicit and realistic numerical bounds. By giving precise proofs in simplified settings, the author strategically builds practical tools and insights for exploring the behavior of arithmetical functions. An active learning style is encouraged across nearly three hundred exercises, making this an indispensable resource for both students and instructors. Designed to allow readers several different pathways to progress from basic notions to active areas of research, the book begins with a study of arithmetic functions and notions of arithmetical interest. From here, several guided ?walks? invite readers to continue, offering explorations along three broad themes: the convolution method, the Levin?Fainleib theorem, and the Mellin transform. Having followed any one of the walks, readers will arrive at ?h