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Titlebook: Arithmetics; Marc Hindry Textbook 2011 Springer-Verlag London Limited 2011 Gauss sums.analytic number theory.arithmetics.diophantine equat

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发表于 2025-3-21 17:35:55 | 显示全部楼层 |阅读模式
期刊全称Arithmetics
影响因子2023Marc Hindry
视频video
发行地址Explores the multi-faceted nature of number theory, spanning several areas of research in one text.Begins at undergraduate level and takes the reader through to graduate level.Includes recent proofs,
学科分类Universitext
图书封面Titlebook: Arithmetics;  Marc Hindry Textbook 2011 Springer-Verlag London Limited 2011 Gauss sums.analytic number theory.arithmetics.diophantine equat
影响因子Number theory is a branch of mathematics which draws its vitality from a rich historical background. It is also traditionally nourished through interactions with other areas of research, such as algebra, algebraic geometry, topology, complex analysis and harmonic analysis. More recently, it has made a spectacular appearance in the field of theoretical computer science and in questions of communication, cryptography and error-correcting codes. Providing an elementary introduction to the central topics in number theory, this book spans multiple areas of research. The first part corresponds to an advanced undergraduate course. All of the statements given in this part are of course accompanied by their proofs, with perhaps the exception of some results appearing at the end of the chapters. A copious list of exercises, of varying difficulty, are also included here. The second part is of a higher level and is relevant for the first year of graduate school. It contains an introduction to elliptic curves and a chapter entitled “Developments and Open Problems”, which introduces and brings together various themes oriented toward ongoing mathematical research. Given the multifaceted nature of
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发表于 2025-3-21 22:55:20 | 显示全部楼层
0172-5939 he reader through to graduate level.Includes recent proofs, Number theory is a branch of mathematics which draws its vitality from a rich historical background. It is also traditionally nourished through interactions with other areas of research, such as algebra, algebraic geometry, topology, comple
发表于 2025-3-22 02:08:19 | 显示全部楼层
Klemens Priesnitz,Christian Lohseality ., denoted ... We will review the construction of these objects and state their main properties. In the following sections, we expand on some structures and applications, notably Gauss sums, Legendre and Jacobi symbols and the number of solutions of congruences.
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发表于 2025-3-22 09:15:26 | 显示全部楼层
Finite Structures,ality ., denoted ... We will review the construction of these objects and state their main properties. In the following sections, we expand on some structures and applications, notably Gauss sums, Legendre and Jacobi symbols and the number of solutions of congruences.
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Klemens Priesnitz,Christian Lohsetem, which motivates the study of primality tests and factorization methods. We finish the chapter with an introduction to error-correcting codes, which will lead us into the study of cyclotomic polynomials.
发表于 2025-3-23 04:01:58 | 显示全部楼层
Angelina Pausin,Andreas Beck,Peter Böhmil theorem) and the set of integral points is finite (Siegel’s theorem). Finally, we will evoke the famous theorem of Wiles—whose proof resulted in the proof of Fermat’s last theorem—and the Birch & Swinnerton-Dyer conjecture.
发表于 2025-3-23 09:23:51 | 显示全部楼层
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