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.
General
| Imprint: |
Clarendon Press
|
| Country of origin: |
United Kingdom |
| Series: |
London Mathematical Society Monographs, 13 |
| Release date: |
June 1996 |
| First published: |
June 1996 |
| Authors: |
M. N. Huxley
(Professor)
|
| Dimensions: |
241 x 161 x 32mm (L x W x T) |
| Format: |
Hardcover
|
| Pages: |
506 |
| ISBN-13: |
978-0-19-853466-2 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Number theory >
General
Promotions
|
| LSN: |
0-19-853466-3 |
| Barcode: |
9780198534662 |
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