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Overview"In analytic number theory a large number of problems can be ""reduced"" to problems involving the estimation of exponential sums in one or several variables. This book is a thorough treatment of the developments arising from the method developed by Bombieri and Iwaniec in 1986 for estimating the Riemann zeta function on the line *s = 1/2. Huxley and his coworkers (mostly Huxley) have taken this method and vastly extended and improved it. The powerful techniques presented here go considerably beyond older methods for estimating exponential sums such as van de Corput's method. The potential for the method is far from being exhausted, and there is considerable motivation for other researchers to try to master this subject. However, anyone currently trying to learn all of this material has the formidable task of wading through numerous papers in the literature. This book simplifies that task by presenting all of the relevant literature and a good part of the background in one package.The audience for the book will be mathematics graduate students and faculties with a research interest in analytic theory; more specifically, those with an interest in exponential sum methods. The book is self-contained; any graduate student with a one semester course in analytic number theory should have a more than sufficient background." Full Product DetailsAuthor: M. N. Huxley (Professor, Professor, University of Wales, Cardiff)Publisher: Oxford University Press Imprint: Oxford University Press Volume: 13 Dimensions: Width: 16.10cm , Height: 3.20cm , Length: 24.10cm Weight: 0.885kg ISBN: 9780198534662ISBN 10: 0198534663 Pages: 506 Publication Date: 13 June 1996 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsReviews`This book [is] very detailed ... The book is very well written. It is an excellent and important work for all mathematicians who deal with exponential sums and lattice point theory. It is accessible to graduate students beginning research.' Zentrallblat fur Mathematik, vol. 861, 1997 This book [is] very detailed ... The book is very well written. It is an excellent and important work for all mathematicians who deal with exponential sums and lattice point theory. It is accessible to graduate students beginning research. * Zentrallblat fur Mathematik, vol. 861, 1997 * This book [is] very detailed ... The book is very well written. It is an excellent and important work for all mathematicians who deal with exponential sums and lattice point theory. It is accessible to graduate students beginning research. Zentrallblat fur Mathematik, vol. 861, 1997 Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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