Equidistribution in Number Theory, An Introduction

Zeév Rudnick

ISBN 10: 1402054033 / ISBN 13: 9781402054037

Published by Springer Netherlands, Springer Netherlands, 2007

About this Item

Druck auf Anfrage Neuware - Printed after ordering - From July 11th to July 22nd, 2005, a NATO advanced study institute, as part of the series 'Seminaire de mathematiques superieures', was held at the U- versite de Montreal, on the subject Equidistribution in the theory of numbers. There were about one hundred participants from sixteen countries around the world. This volume presents details of the lecture series that were given at the school. Across the broad panorama of topics that constitute modern number t- ory one nds shifts of attention and focus as more is understood and better questions are formulated. Over the last decade or so we have noticed incre- ing interest being paid to distribution problems, whether of rational points, of zeros of zeta functions, of eigenvalues, etc. Although these problems have been motivated from very di erent perspectives, one nds that there is much in common, and presumably it is healthy to try to view such questions as part of a bigger subject. It is for this reason we decided to hold a school on 'Equidistribution in number theory' to introduce junior researchers to these beautiful questions, and to determine whether di erent approaches can in uence one another. There are far more good problems than we had time for in our schedule. We thus decided to focus on topics that are clearly inter-related or do not requirealotofbackgroundtounderstand.

Seller Inventory # 9781402054037

Bibliographic Details

• Title: Equidistribution in Number Theory, An Introduction
• Publisher: Springer Netherlands, Springer Netherlands
• Publication Date: 2007
• Language: English
• ISBN 10: 1402054033
• ISBN 13: 9781402054037
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 233W x 155H x 20D millimeters 233 millimeters width by 155 millimeters height by 20 millimeters depth
• Weight: 553 grams

About this title

Synopsis

From July 11th to July 22nd, 2005, a NATO advanced study institute, as part of the series “Seminaire ´ de mathematiques ´ superieures”, ´ was held at the U- versite ´ de Montreal, ´ on the subject Equidistribution in the theory of numbers. There were about one hundred participants from sixteen countries around the world. This volume presents details of the lecture series that were given at the school. Across the broad panorama of topics that constitute modern number t- ory one nds shifts of attention and focus as more is understood and better questions are formulated. Over the last decade or so we have noticed incre- ing interest being paid to distribution problems, whether of rational points, of zeros of zeta functions, of eigenvalues, etc. Although these problems have been motivated from very di?erent perspectives, one nds that there is much in common, and presumably it is healthy to try to view such questions as part of a bigger subject. It is for this reason we decided to hold a school on “Equidistribution in number theory” to introduce junior researchers to these beautiful questions, and to determine whether di?erent approaches can in uence one another. There are far more good problems than we had time for in our schedule. We thus decided to focus on topics that are clearly inter-related or do not requirealotofbackgroundtounderstand.

Synopsis

Written for graduate students and researchers alike, this set of lectures provides a structured introduction to the concept of equidistribution in number theory. This concept is of growing importance in many areas, including cryptography, zeros of L-functions, Heegner points, prime number theory, the theory of quadratic forms, and the arithmetic aspects of quantum chaos. The volume brings together leading researchers from a range of fields, whose accessible presentations reveal fascinating links between seemingly disparate areas.