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.
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Brian Conrey is the Executive Director of the American Institute of Mathematics. He is also Professor of Mathematics at the University of Bristol.
David Farmer is the Associate Director of the American Institute of Mathematics.
Francesco Mezzadri is a Lecturer in the Department of Mathematics, University of Bristol.
Nina Snaith is a Lecturer in the Department of Mathematics, University of Bristol.
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Paperback. Condición: new. Paperback. 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. 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. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Nº de ref. del artículo: 9780521699648
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Condición: New. This comprehensive volume introduces elliptic curves and the fundamentals of modeling by a family of random matrices. Editor(s): Conrey, J. B.; Farmer, D. W.; Mezzadri, F.; Snaith, N. C. Series: London Mathematical Society Lecture Note Series. Num Pages: 368 pages, 19 b/w illus. 40 tables. BIC Classification: PBH; PBK. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 228 x 152 x 21. Weight in Grams: 438. . 2007. Illustrated. paperback. . . . . Nº de ref. del artículo: V9780521699648
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