000			01675nam a22002417a 4500
005			20190305131555.0
008			190118b xxu||||| |||| 00| 0 eng d
020			_a9781470425838
040			_cIIT Kanpur
041			_aeng
082			_a512.74 _bK836a
100			_aKoninck, Jean-Marie De
245			_aAnalytic number theory _bexploring the anatomy of integers _cJean-Marie De Koninck and Florian Luca
260			_aProvidence _bAmerican Mathematical Society _c2012
300			_axviii, 414p
440			_aGraduate studies in mathematics; v.134
520			_aThe authors assemble a fascinating collection of topics from analytic number theory that provides an introduction to the subject with a very clear and unique focus on the anatomy of integers, that is, on the study of the multiplicative structure of the integers. Some of the most important topics presented are the global and local behavior of arithmetic functions, an extensive study of smooth numbers, the Hardy-Ramanujan and Landau theorems, characters and the Dirichlet theorem, the abc conjecture along with some of its applications, and sieve methods. The book concludes with a whole chapter on the index of composition of an integer. One of this book's best features is the collection of problems at the end of each chapter that have been chosen carefully to reinforce the material. The authors include solutions to the even-numbered problems, making this volume very appropriate for readers who want to test their understanding of the theory presented in the book
650			_aNumber theory
650			_aEuclidean algorithm
650			_aIntegrals
700			_aLuca, Florian
942			_cBK
999			_c560121 _d560121