Ranks of Elliptic Curves and Random Matrix Theory Paperback / softback
Edited by J. B. Conrey, D. W. Farmer, F. (University of Bristol) Mezzadri, N. C. (University of Bristol) Snaith
Part of the London Mathematical Society Lecture Note Series series
Paperback / softback
Description
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.
Information
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Out of stock
- Format:Paperback / softback
- Pages:368 pages, Worked examples or Exercises; 40 Tables, unspecified; 19 Line drawings, unspecified
- Publisher:Cambridge University Press
- Publication Date:08/02/2007
- Category:
- ISBN:9780521699648
Information
-
Out of stock
- Format:Paperback / softback
- Pages:368 pages, Worked examples or Exercises; 40 Tables, unspecified; 19 Line drawings, unspecified
- Publisher:Cambridge University Press
- Publication Date:08/02/2007
- Category:
- ISBN:9780521699648
