Overview

Full Product Details

Author:   Melvyn B. Nathanson
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   1996 ed.
Volume:   164
Dimensions:   Width: 15.60cm , Height: 2.00cm , Length: 23.40cm
Weight:   1.520kg
ISBN:  

9780387946566

ISBN 10:   038794656
Pages:   342
Publication Date:   25 June 1996
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

I Waring’s problem.- 1 Sums of polygons.- 2 Waring’s problem for cubes.- 3 The Hilbert—Waring theorem.- 4 Weyl’s inequality.- 5 The Hardy—Littlewood asymptotic formula.- II The Goldbach conjecture.- 6 Elementary estimates for primes.- 7 The Shnirel’man—Goldbach theorem.- 8 Sums of three primes.- 9 The linear sieve.- 10 Chen’s theorem.- III Appendix.- Arithmetic functions.- A.1 The ring of arithmetic functions.- A.2 Sums and integrals.- A.3 Multiplicative functions.- A.4 The divisor function.- A.6 The Möbius function.- A.7 Ramanujan sums.- A.8 Infinite products.- A.9 Notes.- A.10 Exercises.

Reviews

From the reviews: This book provides a very thorough exposition of work to date on two classical problems in additive number theory ... . is aimed at students who have some background in number theory and a strong background in real analysis. A novel feature of the book, and one that makes it very easy to read, is that all the calculations are written out in full - there are no steps `left to the reader'. ... The book also includes a large number of exercises ... . (Allen Stenger, The Mathematical Association of America, August, 2010)

From the reviews: This book provides a very thorough exposition of work to date on two classical problems in additive number theory ! . is aimed at students who have some background in number theory and a strong background in real analysis. A novel feature of the book, and one that makes it very easy to read, is that all the calculations are written out in full -- there are no steps 'left to the reader'. ! The book also includes a large number of exercises ! . (Allen Stenger, The Mathematical Association of America, August, 2010)

From the reviews: This book provides a very thorough exposition of work to date on two classical problems in additive number theory ... . is aimed at students who have some background in number theory and a strong background in real analysis. A novel feature of the book, and one that makes it very easy to read, is that all the calculations are written out in full - there are no steps 'left to the reader'. ... The book also includes a large number of exercises ... . (Allen Stenger, The Mathematical Association of America, August, 2010)

From the reviews: This book provides a very thorough exposition of work to date on two classical problems in additive number theory ... . is aimed at students who have some background in number theory and a strong background in real analysis. A novel feature of the book, and one that makes it very easy to read, is that all the calculations are written out in full - there are no steps `left to the reader'. ... The book also includes a large number of exercises ... . (Allen Stenger, The Mathematical Association of America, August, 2010)

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