This book investigates the significant advances in analytic number theory driven by the application of random matrix techniques. It aims to provide graduate students and researchers with a foundational understanding of both number theory and random matrix theory, detailing the progress made at their intersection. The contributing authors, leading experts in the field, have prepared self-contained lectures to create a coherent volume for those in pure mathematics and theoretical physics.

The book is presented as a collection of self-contained lectures by leading experts, designed to bridge the gap between random matrix theory and analytic number theory. The contributing authors have focused on providing a coherent volume that grounds readers in both subjects and highlights recent advancements. The material is intended for graduate students and researchers in mathematics and theoretical physics, suggesting a readership seeking in-depth, specialized knowledge.