Ranks of Elliptic Curves and Random Matrix Theory by J B Conrey

Ranks of Elliptic Curves and Random Matrix Theory by J B Conrey

Random matrix theory is an area of mathematics first developed by physicists interested in the energy levels of atomic nuclei, but it can also be used to describe some exotic phenomena in the number theory of elliptic curves. The purpose of this book is to illustrate this interplay of number theory and random matrices. It begins with an introduction to elliptic curves and the fundamentals of modelling by a family of random matrices, and moves on to highlight the latest research. There are expositions of current research on ranks of elliptic curves, statistical properties of families of elliptic curves and their associated L-functions and the emerging uses of random matrix theory in this field. Most of the material here had its origin in a Clay Mathematics Institute workshop on this topic at the Newton Institute in Cambridge and together these contributions provide a unique in-depth treatment of the subject.

'Due to these expository lectures, the book may well be of help to newcomers to the field' European Mathematical Society Newsletter

Brian Conrey is the Executive Director of the American Institute of Mathematics. He is also Professor of Mathematics at the University of Bristol. David Farmer is the Associate Director of the American Institute of Mathematics. Francesco Mezzadri is a Lecturer in the Department of Mathematics, University of Bristol. Nina Snaith is a Lecturer in the Department of Mathematics, University of Bristol.

SKU	Unavailable
ISBN 13	9780521699648
ISBN 10	0521699649
Title	Ranks of Elliptic Curves and Random Matrix Theory
Author	J B Conrey
Series	London Mathematical Society Lecture Note Series
Condition	Unavailable
Binding Type	Paperback
Publisher	Cambridge University Press
Year published	2007-02-08
Number of pages	368
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.