All:
Can anyone recommend an introduction computational analytic number theory book ? I am mainly interested in using computer software to verify and confirm analytic number theorem, things related: Dirichelt Series, trigonometric sums, Riemann Zeta, etc.
I know there are books on computational algebraic number theory, just wonder if there is similar books for analytic number theory.
I don't know any book that's exactly what you want, but you might have a look at Peter Borwein's book, Computational Excursions in Analysis and Number Theory.