  Make an exponential transformation in the integral formulation of Riemann's
zeta-function zeta(s) for Re(s) > 0. Separately, in addition make the
substitution s -> 1 - s and then transform back to s again using the functional
equation. Using residue calculus, we can in this way get two alternative,
equivalent series expansions for zeta(s) of order N, both valid inside the
"critical strip", i e for 0 < Re(s) < 1. Together, these two expansions embody
important characteristics of the zeta-function in this range, and their
detailed behavior as N tends to infinity can be used to prove Riemann's
zeta-hypothesis that the nontrivial zeros of the zeta-function must all have
real part 1/2.
  In addition to the preprint, the arXiv file also contains a discussion of
some forty Frequently Asked Questions from readers. Further questions not
adequately dealt with in the existing FAQ are welcome.
