  We have proposed a regularization technique and apply it to the Euler product
of zeta functions in the part one. In this paper that is the second part of the
trilogy, we give another evidence to demonstrate the Riemann hypotheses by
using the approximate functional equation. Some other results on the critical
line are also presented using the relations between the Euler product and the
deformed summation representions in the critical strip. In part three, we will
focus on physical applications using these outcomes.
