Random Matrices, Frobenius Eigenvalues, and Monodromy Hardback
by Nicholas M. Katz, Peter Sarnak
Part of the Colloquium Publications series
Hardback
Description
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.
This relation, the Montgomery-Odlyzko law, is shown to hold for wide classes of zeta and $L$-functions over finite fields.
The book draws on and gives accessible accounts of many disparate areas of mathematics, from algebraic geometry, moduli spaces, monodromy, equidistribution, and the Weil conjectures, to probability theory on the compact classical groups in the limit as their dimension goes to infinity and related techniques from orthogonal polynomials and Fredholm determinants.
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Hardback
- Pages:416 pages
- Publisher:American Mathematical Society
- Publication Date:30/11/1998
- Category:
- ISBN:9780821810170
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Hardback
- Pages:416 pages
- Publisher:American Mathematical Society
- Publication Date:30/11/1998
- Category:
- ISBN:9780821810170
