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Titlebook: Excursions in Multiplicative Number Theory; Olivier Ramaré Textbook 2022 The Editor(s) (if applicable) and The Author(s), under exclusive

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发表于 2025-3-21 18:21:11 | 显示全部楼层 |阅读模式
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Titlebook: Excursions in Multiplicative Number Theory;  Olivier Ramaré Textbook 2022 The Editor(s) (if applicable) and The Author(s), under exclusive
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
doihttps://doi.org/10.1007/978-3-030-73169-4
isbn_softcover978-3-030-73171-7
isbn_ebook978-3-030-73169-4Series ISSN 1019-6242 Series E-ISSN 2296-4894
issn_series 1019-6242
copyrightThe 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 21:32:17 | 显示全部楼层
Textbook 2022igher 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
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Excursions in Multiplicative Number Theory978-3-030-73169-4Series ISSN 1019-6242 Series E-ISSN 2296-4894
发表于 2025-3-22 14:42:21 | 显示全部楼层
Olivier RamaréOffers 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
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Consequence Relations of 2-element AlgebrasThe previous chapter introduced the concept of arithmetical convolution, unitary or otherwise, and the basics of a new type of . appeared. We take this project to its next stage and develop it into a powerful working tool.
发表于 2025-3-23 07:52:10 | 显示全部楼层
Studies in Linguistics and PhilosophyWe use the Dirichlet series of a complex argument. When . is a positive integer and . is a complex number having real part . and imaginary part ., we can write .. In particular, .. If the readers are unfamiliar with these notions, they may well consider only real values of ., as this will change neither the theory nor the proofs we present.
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