[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: 2007-02-19

ISBN: 0521699649

Pages: 368

Language: English

Publisher: Cambridge University Press

Category: Study

Tag: Mathematics


Posted on 2011-09-01, by LionFar.

Description


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:
Date2007-02-19
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 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.


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