The Riemann Zeta-Function : Theory and Applications

Rating:
Summary: a great update of titchmarsh's book
Review: this is book is an udpate of the book of titchmarsh (the theory of the riemann zeta function). it covers all the results from 1957 to 1985 (up to atkinson's formula).

if you are looking for stuff about prime numbers, or the prime number distribution, this book will only cover a tiny bit.
there is some stuff devoted to primes, but the main ideas concern only the analytic results of the zeta function, zero free zones and densities, (higher) power moments, exponential integrals, dirichlet problems, approximate functional equation, critical line, riemann hypothesis...

like titchmarsh, ivic normally proves all theorems without assuming riemann or lindelof hypothesis.. there's a chapter where he assumes RH.

cool book, it used to be out of print, so i recommend it.. (also titchmarsh, edwards and ingham)