RANKS OF ELLIPTIC CURVES AND RANDOM MATRIX THEORY by J. B. Conrey (Editor), D. W. Farmer (Editor), F. Mezzadri (Editor) ( 9780521699648 )

Item Details

Title:

RANKS OF ELLIPTIC CURVES AND RANDOM MATRIX THEORY

By:

J. B. Conrey (Editor), D. W. Farmer (Editor), F. Mezzadri (Editor)

Format:

Paperback

List price:

£54.99

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£48.12

Discount:

12.5% off

You save:

£6.87

ISBN 10:

0521699649

ISBN 13:

9780521699648

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Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

8 February, 2007

Series:

London Mathematical Society Lecture Note Series 341

Pages:

368

Description:

This comprehensive volume introduces elliptic curves and the fundamentals of modeling by a family of random matrices.

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. 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.

Illustrations:

19 b/w illus. 40 tables

Publication:

Imprint:

Cambridge University Press

Returns:

Returnable

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ANALYTIC NUMBER THEORY AND DIOPHANTINE PROBLEMS (PB)

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RANKS OF ELLIPTIC CURVES AND RANDOM MATRIX THEORY