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Titlebook: Arithmetic Tales; Olivier Bordellès Textbook 20121st edition Springer-Verlag London 2012 algebraic number fields.asymptotics for arithmeti

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发表于 2025-3-21 18:10:34 | 显示全部楼层 |阅读模式
期刊全称Arithmetic Tales
影响因子2023Olivier Bordellès
视频video
发行地址An easily accessible overview of elementary, analytic and algebraic number theory in one book.A wide variety of exercises that not only directly illustrate the theory but target problems that are rare
学科分类Universitext
图书封面Titlebook: Arithmetic Tales;  Olivier Bordellès Textbook 20121st edition Springer-Verlag London 2012 algebraic number fields.asymptotics for arithmeti
影响因子.Number theory was once famously labeled the queen of mathematics by Gauss. The multiplicative structure of the integers in particular deals with many fascinating problems some of which are easy to understand but very difficult to solve.  In the past, a variety of very different techniques has been applied to further its understanding..Classical methods in analytic theory such as Mertens’ theorem and Chebyshev’s inequalities and the celebrated Prime Number Theorem give estimates for the distribution of prime numbers. Later on, multiplicative structure of integers leads to  multiplicative arithmetical functions for which there are many important examples in number theory. Their theory involves the Dirichlet convolution product which arises with the inclusion of several summation techniques and a survey of classical results such as Hall and Tenenbaum’s theorem and the Möbius Inversion Formula. Another topic is the counting integer points close to smooth curves and its relation to the distribution of squarefree numbers, which is rarely covered in existing texts. Final chapters focus on exponential sums and algebraic number fields. A number of exercises at varying levels are also inclu
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发表于 2025-3-21 20:23:18 | 显示全部楼层
Textbook 20121st editionula. Another topic is the counting integer points close to smooth curves and its relation to the distribution of squarefree numbers, which is rarely covered in existing texts. Final chapters focus on exponential sums and algebraic number fields. A number of exercises at varying levels are also inclu
发表于 2025-3-22 03:37:04 | 显示全部楼层
Textbook 20121st edition fascinating problems some of which are easy to understand but very difficult to solve.  In the past, a variety of very different techniques has been applied to further its understanding..Classical methods in analytic theory such as Mertens’ theorem and Chebyshev’s inequalities and the celebrated Pr
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发表于 2025-3-22 13:26:08 | 显示全部楼层
Kasula Raghu,Puttha Chandrasekhar Reddyf an algebraic number field . is investigated. Next, the ., as Kummer called them, are introduced to restore unique factorization. The last section shows how analytic tools can be used to solve hard problems of algebraic number theory. In particular, an account of Zimmert’s method for ideal classes is given.
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发表于 2025-3-23 00:47:38 | 显示全部楼层
Algebraic Number Fields,f an algebraic number field . is investigated. Next, the ., as Kummer called them, are introduced to restore unique factorization. The last section shows how analytic tools can be used to solve hard problems of algebraic number theory. In particular, an account of Zimmert’s method for ideal classes is given.
发表于 2025-3-23 01:58:37 | 显示全部楼层
Assembly Startup and Runtime Initialization, Further Developments is devoted to a complete study of Dirichlet series from an arithmetic viewpoint and we also provide some estimates for other types of summation, such as multiplicative functions over short intervals or additive functions. Finally, a brief account of Selberg’s sieve and the large sieve is also given.
发表于 2025-3-23 06:28:32 | 显示全部楼层
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