Area, Lattice Points, and Exponential Sums (London Mathematical Society Monographs, 13) 1st Edition by M. N. Huxley (PDF)

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 academicswith a research interest in analytic theory; specifically exponential sum methods.

User’s Reviews

Editorial Reviews: Review `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 About the Author M. N. Huxley is at University of Wales, Cardiff.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐It’s unclear why such a book filled unremittingly with technical estimatesall of which have been or soon will be superseded was ever undertaken.The library copy was absolutely pristine – no human hands (not even thoseof fellow number theorists) ever touched this work.Curiously, this very trait may cause it to end up being one of the few booksto survive this era and bedevil poor archaeologists of the future.

Keywords

Free Download Area, Lattice Points, and Exponential Sums (London Mathematical Society Monographs, 13) 1st Edition in PDF format
Area, Lattice Points, and Exponential Sums (London Mathematical Society Monographs, 13) 1st Edition PDF Free Download
Download Area, Lattice Points, and Exponential Sums (London Mathematical Society Monographs, 13) 1st Edition 1996 PDF Free
Area, Lattice Points, and Exponential Sums (London Mathematical Society Monographs, 13) 1st Edition 1996 PDF Free Download
Download Area, Lattice Points, and Exponential Sums (London Mathematical Society Monographs, 13) 1st Edition PDF
Free Download Ebook Area, Lattice Points, and Exponential Sums (London Mathematical Society Monographs, 13) 1st Edition