| Description |
1 online resource (x, 554 pages). |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
De Gruyter expositions in mathematics ; 39
|
|
De Gruyter expositions in mathematics ; 39.
|
| Bibliography |
Includes bibliographical references (pages 539-551) and index. |
| Contents |
Preface; Basic Notation; Contents; Introduction; Chapter 1Trigonometric integrals; Chapter 2Rational trigonometric sums; Chapter 3Weyl sums; 4.1 The mean value theorem for the multiple trigonometricsum with equivalent variables of summation; Chapter 5Estimates for multiple trigonometric sums; Chapter 6Several applications; Chapter 7Special cases of the theory of multipletrigonometric sums; Chapter 8The Hilbert-Kamke problem and itsgeneralizations; Chapter 9The p-adic method in three problemsof number theory; Chapter 10Estimates of multiple trigonometric sums withprime numbers. |
| Summary |
The book presents the theory of multiple trigonometric sums constructed by the authors. Following a unified approach, the authors obtain estimates for these sums similar to the classical I.M. Vinogradov's estimates and use them to solve several problems in analytic number theory. They investigate trigonometric integrals, which are often encountered in physics, mathematical statistics, and analysis, and present purely arithmetic results concerning the solvability of equations in integers. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Trigonometric sums.
|
|
Trigonometric sums. |
| Genre/Form |
Electronic books.
|
| Added Author |
Chubarikov, V. N. (Vladimir Nikolaevich), 1951-
|
|
Karat͡suba, Anatoliĭ Alekseevich.
|
| Added Title |
Teorii͡a kratnykh trigonometricheskikh summ. English https://id.loc.gov/authorities/names/n2004014614
|
| Other Form: |
Print version: Arkhipov, Gennadiĭ Ivanovich. Teorii͡a kratnykh trigonometricheskikh summ. English. Trigonometric sums in number theory and analysis. Berlin ; New York : Walter de Gruyter, ©2004 (DLC) 2004021280 |
| ISBN |
9783110197983 (electronic book) |
|
3110197987 (electronic book) |
|
3110162660 (cloth ; alkaline paper) |
|
