Presents a wide range of results in analytic and probabilistic number theory for graduate or research mathematicians with no specialized background beyond the standard college mathematics course. Uses the Dirichlet series to present the full spectrum of limit theorems, in the sense of the weak convergence of probability measures, for the modules of the Riemann zeta- function and other functions. Demonstrates applications to the universality and functional independence of such functions. Also includes similar results for Dirichlet L-functions and the Dirichlet series with multiplicative coefficients. Annotation c. by Book News, Inc., Portland, Or.
This volume presents a wide range of results in analytic and probabilistic number theory. The full spectrum of limit theorems in the sense of weak convergence of probability measures for the modules of the Riemann zeta-function and other functions is given by Dirichlet series. Applications to the universality and functional independence of such functions are also given. Furthermore, similar results are presented for Dirichlet L-functions and Dirichlet series with multiplicative coefficients. Audience: This is a self-contained book, useful for researchers and graduate students working in analytic and probabilistic number theory and can also be used as a textbook for postgraduate courses.
