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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
Descripción
Sumario: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.
Descripción Física:1 online resource (x, 554 pages)
Bibliografía:Includes bibliographical references (pages 539-551) and index.
ISBN:9783110197983
3110197987