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



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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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http://i39.tinypic.com/2z85ctv.jpg


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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