Exponential Sums and their Applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1992
|
| Series: | Mathematics and Its Applications (Soviet Series)
80 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | The method of exponential sums is a general method enabling the solution of a wide range of problems in the theory of numbers and its applications. This volume presents an exposition of the fundamentals of the theory with the help of examples which show how exponential sums arise and how they are applied in problems of number theory and its applications. The material is divided into three chapters which embrace the classical results of Gauss, and the methods of Weyl, Mordell and Vinogradov; the traditional applications of exponential sums to the distribution of fractional parts, the estimation of the Riemann zeta function; 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 of mathematical analysis and of elementary number theory |
| Physical Description: | 1 Online-Ressource (XVI, 210 p) |
| ISBN: | 9789401580328 9789048141371 |
| ISSN: | 0169-6378 |
| DOI: | 10.1007/978-94-015-8032-8 |
Staff View
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401580328 9789048141371 |
| issn | 0169-6378 |
| language | English |
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| spelling | Korobov, N. M. Verfasser aut Exponential Sums and their Applications by N. M. Korobov Dordrecht Springer Netherlands 1992 1 Online-Ressource (XVI, 210 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications (Soviet Series) 80 0169-6378 The method of exponential sums is a general method enabling the solution of a wide range of problems in the theory of numbers and its applications. This volume presents an exposition of the fundamentals of the theory with the help of examples which show how exponential sums arise and how they are applied in problems of number theory and its applications. The material is divided into three chapters which embrace the classical results of Gauss, and the methods of Weyl, Mordell and Vinogradov; the traditional applications of exponential sums to the distribution of fractional parts, the estimation of the Riemann zeta function; 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 of mathematical analysis and of elementary number theory Mathematics Computer science / Mathematics Number theory Number Theory Computational Mathematics and Numerical Analysis Approximations and Expansions Informatik Mathematik Exponentialsumme (DE-588)4201355-0 gnd rswk-swf Exponentialsumme (DE-588)4201355-0 s 1\p DE-604 https://doi.org/10.1007/978-94-015-8032-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Korobov, N. M. Exponential Sums and their Applications Mathematics Computer science / Mathematics Number theory Number Theory Computational Mathematics and Numerical Analysis Approximations and Expansions Informatik Mathematik Exponentialsumme (DE-588)4201355-0 gnd |
| subject_GND | (DE-588)4201355-0 |
| title | Exponential Sums and their Applications |
| title_auth | Exponential Sums and their Applications |
| title_exact_search | Exponential Sums and their Applications |
| title_full | Exponential Sums and their Applications by N. M. Korobov |
| title_fullStr | Exponential Sums and their Applications by N. M. Korobov |
| title_full_unstemmed | Exponential Sums and their Applications by N. M. Korobov |
| title_short | Exponential Sums and their Applications |
| title_sort | exponential sums and their applications |
| topic | Mathematics Computer science / Mathematics Number theory Number Theory Computational Mathematics and Numerical Analysis Approximations and Expansions Informatik Mathematik Exponentialsumme (DE-588)4201355-0 gnd |
| topic_facet | Mathematics Computer science / Mathematics Number theory Number Theory Computational Mathematics and Numerical Analysis Approximations and Expansions Informatik Mathematik Exponentialsumme |
| url | https://doi.org/10.1007/978-94-015-8032-8 |
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