Ranks of Elliptic Curves and Random Matrix Theory (London Mathematical Society Lecture Note Series) | 
 enlarge | Creators: J. B. Conrey, D. W. Farmer, F. Mezzadri, N. C. Snaith
Publisher: Cambridge University Press
Category: Book
List Price: $90.00
Buy New: $69.91
You Save: $20.09 (22%)
New (8) Used (7) from $61.98
Sales Rank: 1847526
Media: Paperback
Pages: 368
Number Of Items: 1
Shipping Weight (lbs): 1.1
Dimensions (in): 8.7 x 6 x 0.8
ISBN: 0521699649
Dewey Decimal Number: 516.352
EAN: 9780521699648
Publication Date: February 19, 2007
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Product 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.
Book Description
This comprehensive volume highlights some of the most current results about 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. This is the only book to give an in-depth treatment of this subject.
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