Area, Lattice Points, and Exponential Sums (London Mathematical Society Monographs New Series) - M. N. Huxley (1996)
ISBN 0198534663
Subject Exponential sums; Lattice theory; Functions, Zeta
Publisher Oxford University Press, USA
Publication Date 7/22/1996
Format Hardcover (236 x 155 mm)
Language e
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.
Personal Details
Collection Status In Collection
Index 548
Read It Yes
Links Amazon US
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Product Details
LoC Classification QA246.7.H89 1996
Dewey 512/.73
Cover Price $275.00
No. of Pages 506