[share_ebook] Ranks of Elliptic Curves and Random Matrix Theory
Author: Edited by J. B. Conrey, D. W. Farmer, F. Mezzadri, N. C. Snaith
Date: 20070219
ISBN: 0521699649
Pages: 368
Language: English
Publisher: Cambridge University Press
Category: Study
Tag: Mathematics
Posted on 20110901, by LionFar.
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Title:Ranks of Elliptic Curves and Random Matrix Theory Author:Edited by J. B. Conrey, D. W. Farmer, F. Mezzadri, N. C. Snaith Publisher:Cambridge University Press ISBN:0521699649 ISBN13: Date20070219 Pages:368 Language:English Format: PDF Size:5 MB 

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. 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 Lfunctions 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 indepth treatment of the subject. 

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