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Titlebook: Arithmetic Tales; Advanced Edition Olivier Bordellès Textbook 2020Latest edition Springer Nature Switzerland AG 2020 arithmetical functions

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发表于 2025-3-21 19:56:58 | 显示全部楼层 |阅读模式
期刊全称Arithmetic Tales
期刊简称Advanced Edition
影响因子2023Olivier 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Titlebook: Arithmetic Tales; Advanced Edition Olivier Bordellès Textbook 2020Latest edition Springer Nature Switzerland AG 2020 arithmetical functions
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
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发表于 2025-3-21 20:58:18 | 显示全部楼层
Exponential Sums,for such sums, such as van der Corput’s methods, Weyl’s schift and Vinogradov’s process. More recent techniques, such as Vaughan’s identity, are treated in detail and non-trivial examples are investigated. Finally, an introduction to exponential sums over finite fields is given.
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Textbook 2020Latest edition 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 numb
发表于 2025-3-22 19:00:36 | 显示全部楼层
Assemblies, Metadata, and Runtime Services, Dirichlet hyperbola principle and the Vinogradov lemma, and from a more advanced point of view, with results for long and short sums of multiplicative and additive functions. All the well-known multiplicative functions are investigated, arithmetic functions of several variables are studied and more
发表于 2025-3-22 21:27:08 | 显示全部楼层
https://doi.org/10.1007/978-1-4302-0357-5for such sums, such as van der Corput’s methods, Weyl’s schift and Vinogradov’s process. More recent techniques, such as Vaughan’s identity, are treated in detail and non-trivial examples are investigated. Finally, an introduction to exponential sums over finite fields is given.
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发表于 2025-3-23 07:30:32 | 显示全部楼层
https://doi.org/10.1007/978-3-030-54946-6arithmetical functions; multiplicative number theory; exponential sums; analytic number theory; algebrai
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