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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Ranks of Elliptic Curves and Random Matrix Theory

Ranks of Elliptic Curves and Random Matrix Theory

Conrey, J. B.
Farmer, D. W.
Mezzadri, F.

Paperback

Series: London Mathematical Society Lecture Note, Book 341

General Mathematics

ISBN10: 0521699649
ISBN13: 9780521699648
Publisher: Cambridge
Published: Feb 8 2007
Pages: 368
Weight: 1.11
Height: 0.71 Width: 6.57 Depth: 8.93
Language: English
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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