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In recent years the application of random matrix techniques to analytic number theory has been responsible for major advances in this area of mathematics. As a consequence it has created a new and rapidly developing area of research. The aim of this book is to provide the necessary grounding both in relevant aspects of number theory and techniques of random matrix theory, as well as to inform the reader of what progress has been made when these two apparently disparate subjects meet. This volume of proceedings is addressed to graduate students and other researchers in both pure mathematics and theoretical physics. The contributing authors, who are among the world leading experts in this area, have taken care to write self-contained lectures on subjects chosen to produce a coherent volume.

Numerical functions --- Number theory --- Random matrices --- Matrices, Random --- Matrices --- Functions, Numerical

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Number theory --- Fonctions numériques --- Functies [Numerieke ] --- Functions [Numerical ] --- Nombres P-diques --- Numbers [p-adic ] --- Numerical functions --- Numerieke functies --- p-adic numbers --- p-adic numbers.

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Number theory --- 511.6 --- p-adic numbers --- Numerical functions --- #TCPW W1.0 --- #TCPW W1.1 --- Functions, Numerical --- Numbers, p-adic --- p-adic analysis --- Algebraic number fields --- Numerical functions. --- p-adic numbers. --- 511.6 Algebraic number fields --- P-adic numbers. --- Nombres, Théorie des --- Theorie des nombres --- P-adiques