The Hardy-Littlewood Method

Download or read book The Hardy-Littlewood Method written by R. C. Vaughan and published by Cambridge University Press. This book was released on 1981-07-30 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.