Ranks of Elliptic Curves and Random Matrix Theory (London Mathematical Society Lecture Note Series)

J. B. Conrey

ISBN 10: 0521699649 / ISBN 13: 9780521699648

Published by Cambridge University Press 2007-02-08, 2007

About this Item

Seller Inventory # 6666-IUK-9780521699648

Bibliographic Details

• Title: Ranks of Elliptic Curves and Random Matrix Theory (London Mathematical Society Lecture Note Series)
• Publisher: Cambridge University Press 2007-02-08
• Publication Date: 2007
• Language: English
• ISBN 10: 0521699649
• ISBN 13: 9780521699648
• Binding: Paperback
• Condition: New

About this title

Synopsis

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. This book illustrates this interplay of number theory and random matrices. It begins with an introduction to elliptic curves and the fundamentals of modeling 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.

About the Authors

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.