Despite its seemingly deterministic nature, the study of whole numbers, especially prime numbers, has many interactions with probability theory, the theory of r

This is a self-contained introduction to analytic methods in number theory, assuming on the part of the reader only what is typically learned in a standard unde

This introductory textbook for graduate students presents modern developments in probabilistic number theory, many for the first time.

An intuitive, yet precise introduction to probability theory, stochastic processes, statistical inference, and probabilistic models used in science, engineering

An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.