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Random matrices, Frobenius eigenvalues, and monodromy Book

Random matrices, Frobenius eigenvalues, and monodromy
Random matrices, Frobenius eigenvalues, and monodromy, 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 hol, Random matrices, Frobenius eigenvalues, and monodromy has a rating of 3.5 stars
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Random matrices, Frobenius eigenvalues, and monodromy, 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 hol, Random matrices, Frobenius eigenvalues, and monodromy
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  • Random matrices, Frobenius eigenvalues, and monodromy
  • Written by author Nicholas M. Katz
  • Published by Providence, R.I. : American Mathematical Society, c1999., 1999/03/18
  • 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 hol
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Book Categories

Authors

Introduction 1
Ch. 1 Statements of the Main Results 17
Ch. 2 Reformulation of the Main Results 35
Ch. 3 Reduction Steps in Proving the Main Theorems 73
Ch. 4 Test Functions 101
Ch. 5 Haar Measure 107
Ch. 6 Tail Estimates 141
Ch. 7 Large N Limits and Fredholm Determinants 197
Ch. 8 Several Variables 245
Ch. 9 Equidistribution 267
Ch. 10 Monodromy of Families of Curves 293
Ch. 11 Monodromy of Some Other Families 323
Ch. 12 GUE Discrepancies in Various Families 351
Ch. 13 Distribution of Low-lying Frobenius Eigenvalues in Various Families 361
App Densities 373
App: Graphs 411
References 417


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Random matrices, Frobenius eigenvalues, and monodromy, 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 hol, Random matrices, Frobenius eigenvalues, and monodromy

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Random matrices, Frobenius eigenvalues, and monodromy, 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 hol, Random matrices, Frobenius eigenvalues, and monodromy

Random matrices, Frobenius eigenvalues, and monodromy

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Random matrices, Frobenius eigenvalues, and monodromy, 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 hol, Random matrices, Frobenius eigenvalues, and monodromy

Random matrices, Frobenius eigenvalues, and monodromy

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