| 书目名称 | Excursions in Multiplicative Number Theory | | 编辑 | Olivier Ramaré | | 视频video | | | 概述 | Offers a unique exploration of analytic number theory that focuses on proving explicit bounds in cases suited to versatile tools.Emphasizes a methodological approach to the material with several diffe | | 丛书名称 | Birkhäuser Advanced Texts‘ Basler Lehrbücher | | 图书封面 |  | | 描述 | .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–Faĭnleĭb theorem, and the Mellin transform. Having followed any one of the walks, readers will arrive at “higher ground”, where they will find opportunities for extensions and applications, such asthe Selberg formula, Brun’s sieve, and the Large Sieve Inequality. Methodology is emphasized throughout, with frequent opportunities to explore numerically using computer algebra packages Pari/GP and Sage...Exc | | 出版日期 | Textbook 2022 | | 关键词 | Analytic number theory; Prime number theory; Euler products; Multiplicative functions number theory; Mul | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-73169-4 | | isbn_softcover | 978-3-030-73171-7 | | isbn_ebook | 978-3-030-73169-4Series ISSN 1019-6242 Series E-ISSN 2296-4894 | | issn_series | 1019-6242 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 18:21:11
