| Area, Lattice Points and Exponential Sums Contributor(s): Huxley, M. N. (Author) |
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ISBN: 0198534663 ISBN-13: 9780198534662 Publisher: Clarendon Press OUR PRICE: $389.50 Product Type: Hardcover - Other Formats Published: August 1996 Annotation: In analytic number theory many problems can be "reduced" to those involving the estimation of exponential sums in one or several variables. This book is a thorough treatment of the developments arising from the method for estimating the Riemann zeta function. Huxley and his coworkers 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 book will find its biggest readership among mathematics graduate students and academics with a research interest in analytic theory; specifically exponential sum methods. |
| Additional Information |
| BISAC Categories: - Mathematics | Number Theory - Science - Mathematics | Research |
| Dewey: 512.73 |
| LCCN: 95038370 |
| Series: London Mathematical Society Monographs |
| Physical Information: 1.13" H x 6.14" W x 9.21" (1.95 lbs) 506 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: In analytic number theory many problems can be reduced to those involving the estimation of exponential sums in one or several variables. This book is a thorough treatment of the developments arising from the method for estimating the Riemann zeta function. Huxley and his coworkers 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 book will find its biggest readership among mathematics graduate students and academics with a research interest in analytic theory; specifically exponential sum methods. |