期刊全称 | Arithmetic Tales | 期刊简称 | Advanced Edition | 影响因子2023 | Olivier Bordellès | 视频video | | 发行地址 | Extensively rewritten new edition covering more advanced as well as recent results.Provides a self-contained introduction to multiplicative number theory.Includes over 150 exercises, with hints and so | 学科分类 | Universitext | 图书封面 |  | 影响因子 | This textbook covers a wide array of topics in analytic and multiplicative number theory, suitable for graduate level courses..Extensively revised and extended, this .Advanced Edition. takes a deeper dive into the subject, with the elementary topics of the previous edition making way for a fuller treatment of more advanced topics. The core themes of the distribution of prime numbers, arithmetic functions, lattice points, exponential sums and number fields now contain many more details and additional topics. In addition to covering a range of classical and standard results, some recent work on a variety of topics is discussed in the book, including arithmetic functions of several variables, bounded gaps between prime numbers à la Yitang Zhang, Mordell‘s method for exponential sums over finite fields, the resonance method for the Riemann zeta function, the Hooley divisor function, and many others. Throughout the book, the emphasis is on explicit results..Assuming only familiarity with elementary number theory and analysis at an undergraduate level, this textbook provides an accessible gateway to a rich and active area of number theory. With an abundance of new topics and 50% more exe | Pindex | Textbook 2020Latest edition |
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