Applications of the Hardy Littlewood Method PDF Download
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Author: Robert C. Vaughan
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Robert C. Vaughan
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Paula Schiesser
Publisher:
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Category :
Languages : en
Pages : 0
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Author: Lilian Matthiesen
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Category :
Languages : en
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Author: G. R. H. Greaves
Publisher: Cambridge University Press
ISBN: 0521589576
Category : Mathematics
Languages : en
Pages : 360
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Book Description
State-of-the-art analytic number theory proceedings.
Author: Timothy D. Browning
Publisher: Springer Science & Business Media
ISBN: 3034601298
Category : Mathematics
Languages : en
Pages : 168
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Book Description
This book examines the range of available tools from analytic number theory that can be applied to study the density of rational points on projective varieties.
Author: R. C. Vaughan
Publisher: Cambridge University Press
ISBN: 9780521234399
Category : Mathematics
Languages : en
Pages : 184
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Book Description
The Hardy-Littlewood method is a means of estimating the number of integer solutions of equations and was first applied to Waring's problem on representations of integers by sums of powers. This introduction to the method deals with its classical forms and outlines some of the more recent developments. Now in its second edition it has been fully updated; the author has made extensive revisions and added a new chapter to take account of major advances by Vaughan and Wooley. The reader is expected to be familiar with elementary number theory and postgraduate students should find it of great use as an advanced textbook. It will also be indispensable to all lecturers and research workers interested in number theory.
Author: Yuan Wang
Publisher: Springer Science & Business Media
ISBN: 3642581714
Category : Mathematics
Languages : en
Pages : 185
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The circle method has its genesis in a paper of Hardy and Ramanujan (see [Hardy 1])in 1918concernedwiththepartitionfunction andtheproblemofrep resenting numbers as sums ofsquares. Later, in a series of papers beginning in 1920entitled "some problems of'partitio numerorum''', Hardy and Littlewood (see [Hardy 1]) created and developed systematically a new analytic method, the circle method in additive number theory. The most famous problems in ad ditive number theory, namely Waring's problem and Goldbach's problem, are treated in their papers. The circle method is also called the Hardy-Littlewood method. Waring's problem may be described as follows: For every integer k 2 2, there is a number s= s(k) such that every positive integer N is representable as (1) where Xi arenon-negative integers. This assertion wasfirst proved by Hilbert [1] in 1909. Using their powerful circle method, Hardy and Littlewood obtained a deeper result on Waring's problem. They established an asymptotic formula for rs(N), the number of representations of N in the form (1), namely k 1 provided that 8 2 (k - 2)2 - +5. Here
Author: Jeffrey H. Law
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Author: Abrams
Publisher: CRC Press
ISBN: 9780824788025
Category : Mathematics
Languages : en
Pages : 352
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A collection of articles embodying the work presented at the 1991 Methods in Module Theory Conference at the University of Colorado at Colorado Springs - facilitating the explanation and cross-fertilization of new techniques that were developed to answer a variety of module-theoretic questions.
Author: Michael Th. Rassias
Publisher: Springer Nature
ISBN: 3030618870
Category : Mathematics
Languages : en
Pages : 362
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Book Description
This edited volume presents state-of-the-art developments in various areas in which Harmonic Analysis is applied. Contributions cover a variety of different topics and problems treated such as structure and optimization in computational harmonic analysis, sampling and approximation in shift invariant subspaces of L2(R), optimal rank one matrix decomposition, the Riemann Hypothesis, large sets avoiding rough patterns, Hardy Littlewood series, Navier–Stokes equations, sleep dynamics exploration and automatic annotation by combining modern harmonic analysis tools, harmonic functions in slabs and half-spaces, Andoni –Krauthgamer –Razenshteyn characterization of sketchable norms fails for sketchable metrics, random matrix theory, multiplicative completion of redundant systems in Hilbert and Banach function spaces. Efforts have been made to ensure that the content of the book constitutes a valuable resource for graduate students as well as senior researchers working on Harmonic Analysis and its various interconnections with related areas.
