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OverviewThe 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. Full Product DetailsAuthor: Nicholas M. Katz , Peter SarnakPublisher: American Mathematical Society Imprint: American Mathematical Society ISBN: 9781470475079ISBN 10: 1470475073 Pages: 419 Publication Date: 13 November 1999 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Temporarily unavailable  The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsStatements of the main results Reformulation of the main results Reduction steps in proving the main theorems Test functions Haar measure Tail estimates Large $N$ limits and Fredholm determinants Several variables Equidistribution Monodromy of families of curves Monodromy of some other families GUE discrepancies in various families Distribution of low-lying Frobenius eigenvalues in various families Appendix AD: Densities Appendix AG: Graphs References.ReviewsAuthor InformationNicholas M. Katz, Princeton University, NJ. Peter Sarnak, Princeton University, NJ Tab Content 6Author Website:Countries AvailableAll regions |
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