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. London mathematical society lecture note series managing editor professor nj hitchin mathematical institute univer. London mathematical society lecture note series ranks of elliptic curves and random matrix theory series number 341 by f mezzadri 9780521699648 available at book depository with free delivery worldwide. In conclusion ranks of elliptic curves and random matrix theory is a welcome addition to the number theory literaturegraduate students entering the field and all mathematicians wishing to understand this newly emerging area of number theory will enjoy reading this book. In ranks of elliptic curves and random matrix theory london mathematical society lecture note series 341 2007 109 142 cup page for the volume arxiv version local version this is a survey article written for a meeting at the newton institute in which i try to explain how families of zeta and l functions over function fields give rise
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