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Titlebook: Exponential Sums and their Applications; N. M. Korobov Book 1992 Springer Science+Business Media Dordrecht 1992 diophantine equation.distr

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发表于 2025-3-21 19:36:59 | 显示全部楼层 |阅读模式
书目名称Exponential Sums and their Applications
编辑N. M. Korobov
视频video
丛书名称Mathematics and its Applications
图书封面Titlebook: Exponential Sums and their Applications;  N. M. Korobov Book 1992 Springer Science+Business Media Dordrecht 1992 diophantine equation.distr
描述The method of exponential sums is a general method enabling thesolution of a wide range of problems in the theory of numbers and itsapplications. This volume presents an exposition of the fundamentalsof the theory with the help of examples which show how exponentialsums arise and how they are applied in problems of number theory andits applications. .The material is divided into three chapters which embrace theclassical results of Gauss, and the methods of Weyl, Mordell andVinogradov; the traditional applications of exponential sums to thedistribution of fractional parts, the estimation of the Riemann zetafunction; and the theory of congruences and Diophantine equations.Some new applications of exponential sums are also included. .It is assumed that the reader has a knowledge of the fundamentals ofmathematical analysis and of elementary number theory. .
出版日期Book 1992
关键词diophantine equation; distribution; number theory; zeta function
版次1
doihttps://doi.org/10.1007/978-94-015-8032-8
isbn_softcover978-90-481-4137-1
isbn_ebook978-94-015-8032-8Series ISSN 0169-6378
issn_series 0169-6378
copyrightSpringer Science+Business Media Dordrecht 1992
The information of publication is updating

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发表于 2025-3-21 20:44:43 | 显示全部楼层
Book 1992 volume presents an exposition of the fundamentalsof the theory with the help of examples which show how exponentialsums arise and how they are applied in problems of number theory andits applications. .The material is divided into three chapters which embrace theclassical results of Gauss, and the
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What Matters for ICT Diffusion?,ummation into a double sum, in which one of summations was reduced to the evaluation of a sum of the first degree. Similar but technically more complicated considerations are used for the reduction of the degree of sums in the Weyl method as well.
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,Weyl’s Sums,ummation into a double sum, in which one of summations was reduced to the evaluation of a sum of the first degree. Similar but technically more complicated considerations are used for the reduction of the degree of sums in the Weyl method as well.
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What Matters for ICT Diffusion?,onsists in reducing the estimation of a sum of an arbitrary degree . ⩾ 2 . to the estimation of a sum of degree . − 1 and, ultimately, to the use of the estimate (140). We have already met the reduction of the degree of an exponential sum in proving the theorem on the modulus of the Gauss sum. In th
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Mathematics and its Applicationshttp://image.papertrans.cn/e/image/319715.jpg
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