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The method of trigonometrical sums in the theory of numbers

Author: I M Vinogradov; K F Roth; Anne Ashley Davenport
Publisher: Mineola, N.Y. : Dover Publications, 2004.
Series: Dover books on mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
This text begins with a discussion of general lemmas and advances to an investigation of Waring's problem, including explorations of singular series, the contribution of the basic intervals, and an estimate for G(n). Further topics include approximation by the fractional parts of the values of a polynomial, estimates for Weyl sums, much more. 1954 edition.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Vinogradov, I.M. (Ivan Matveevich), 1891-1983.
Method of trigonometrical sums in the theory of numbers
(DLC) 2004050045
(OCoLC)55044549
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: I M Vinogradov; K F Roth; Anne Ashley Davenport
ISBN: 9780486154527 0486154521
OCLC Number: 867771444
Notes: Translation of: Metod trigonometricheskikh summ v teorii chisel.
Originally published: London : Interscience Publishers, 1954.
Description: 1 online resource (x, 180 pages) : illustrations.
Contents: Cover; Title Page; Copyright Page; Preface by the Translators; Contents; Notation; Introduction; Note on Vinogradov's Method; I. General Lemmas; Notes; II. The Investigation of the Singular Series in Waring's Problem; Notes; III. The Contribution of the Basic Intervals in Waring's Problem; Notes; IV. An Estimate for G(n) Waring's Problem; Notes; V. Approximation by the Fractional Parts of the Values of a Polynomial; Notes; VI. Estimates for Weyl Sums; Notes; VII. The Asymptotic Formula in Waring's Problem; Notes; VIII. The Distribution of the Fractional Parts of the Values of a Polynomial.
Series Title: Dover books on mathematics.
Other Titles: Metod trigonometricheskikh summ v teorii chisel.
Responsibility: I.M. Vinogradov ; translated from the Russian, revised and annotated by K.F. Roth and Anne Davenport.

Abstract:

This text begins with a discussion of general lemmas and advances to an investigation of Waring's problem, including explorations of singular series, the contribution of the basic intervals, and an estimate for G(n). Further topics include approximation by the fractional parts of the values of a polynomial, estimates for Weyl sums, much more. 1954 edition.

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