The main topic of this book is the deep relation between the spacings between zeros of zeta and $L$-functions and spacings between eigenvalues of random elements of large compact classical groups. The authors draw upon many disparate areas of mathematics from algebraic geometry, moduli spaces, mondromy, equidistribution, and the Weil conjectures to probability theory and the compact classical groups.
Format: Paperback / softback
CONTRIBUTORS: Nicholas M. Katz
EAN: 9781470475079
COUNTRY: United States
PAGES: 419
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PUBLISHED BY: American Mathematical Society
DATE PUBLISHED: 1999-11-13
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GENRE: MATHEMATICS / Algebra / General, MATHEMATICS / Geometry / Algebraic, MATHEMATICS / Number Theory
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Book Themes:
Algebra, Number theory, Algebraic geometry
Nicholas M. Katz, Princeton University, NJ.Peter Sarnak, Princeton University, NJ