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The Method of Trigonometrical Sums in the Theory of Numbers~tqw~_darksiderg

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Name:The Method of Trigonometrical Sums in the Theory of Numbers~tqw~_darksiderg

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INFO
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Title................: The Method of Trigonometrical Sums in the Theory of
Numbers
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 8.32 MB
Torrent Hash.........: 61F7A6F5707AE8A6675AF8FDBACEFCE8E44D9814
Posted by............: ~tqw~

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CONTENTS
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The Method of Trigonometrical Sums in the Theory of Numbers~tqw~_darksiderg preview 0
Synopsis:
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.

Table Of Contents:
Preface v
Notation ix
Introduction 1
Note on Vinogradov's Method 19
I General Lemmas 21
Notes 42
II The Investigation of the Singular Series in Waring's Problem 45
Notes 54
III The Contribution of the Basic Intervals in Waring's Problem 55
Notes 61
IV An Estimate for G(n) in Waring's Problem 62
Notes 69
V Approximation by the Fractional Parts of the Values of a Polynomial 71
Notes 81
VI Estimates for Weyl Sums 82
Notes 113
VII The Asymptotic Formula in Waring's Problem 117
Notes 123
VIII The Distribution of the Fractional Parts of the Values of a Polynomial 124
Notes 127
IX Estimates for the Simplest Trigonometrical Sums with Primes 128
Notes 162
X Goldbach's Problem 163
Notes 175
XI The Distribution of the Fractional Parts of the Values of the Function
[alpha]p 177
Notes 180

Product Details:
* ISBN: 0486438783
* ISBN-13: 9780486438788
* Format: Paperback, 192pp
* Publisher: Dover Publications
* Pub. Date: September 2004

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