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Trigonometric sums in number theory and analysis /

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 investiga...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Arkhipov, Gennadiĭ Ivanovich
Otros Autores: Chubarikov, V. N. (Vladimir Nikolaevich), 1951-, Karat͡suba, Anatoliĭ Alekseevich
Formato: Electrónico eBook
Idioma:Inglés
Ruso
Publicado: Berlin ; New York : Walter de Gruyter, ©2004.
Colección:De Gruyter expositions in mathematics ; 39.
Temas:
Acceso en línea:Texto completo

MARC

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240 1 0 |a Teorii͡a kratnykh trigonometricheskikh summ.  |l English 
245 1 0 |a Trigonometric sums in number theory and analysis /  |c by G.I. Arkhipov, V.N. Chubarikov, A.A. Karatsuba. 
260 |a Berlin ;  |a New York :  |b Walter de Gruyter,  |c ©2004. 
300 |a 1 online resource (x, 554 pages) 
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490 1 |a De Gruyter expositions in mathematics ;  |v 39 
504 |a Includes bibliographical references (pages 539-551) and index. 
505 0 |a 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. 
520 |a 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. 
588 0 |a Print version record. 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Trigonometric sums. 
650 6 |a Sommes trigonométriques. 
650 7 |a MATHEMATICS  |x Number Theory.  |2 bisacsh 
650 7 |a Trigonometric sums  |2 fast 
700 1 |a Chubarikov, V. N.  |q (Vladimir Nikolaevich),  |d 1951-  |1 https://id.oclc.org/worldcat/entity/E39PBJth4jhKrqYvDB6YQpFVG3 
700 1 |a Karat͡suba, Anatoliĭ Alekseevich. 
758 |i has work:  |a Trigonometric sums in number theory and analysis (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCG699MpGbPvkpxdXhHM4WP  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Arkhipov, Gennadiĭ Ivanovich.  |s Teorii͡a kratnykh trigonometricheskikh summ. English.  |t Trigonometric sums in number theory and analysis.  |d Berlin ; New York : Walter de Gruyter, ©2004  |w (DLC) 2004021280 
830 0 |a De Gruyter expositions in mathematics ;  |v 39. 
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