(iii) In the well-known classical theory of the Riemann zeta function, the
Riemann zeta function is closely related to the theta function, i.e., by means
of the Mellin transform. In light of the central role played by theta functions
in the theory of the present series of papers, it is tempting to hope, especially
in the context of the observations of (i), (ii), that perhaps some extension of the
theory of the present series of papers . i.e., some sort of “inter-universal Mellin
transform” . may be obtained that allows one to relate the theory of the present
series of papers to the Riemann zeta function.
(iv) In the context of the discussion of (iii), it is of interest to recall that, relative
to the analogy between number fields and one-dimensional function fields over
finite fields, the theory of the present series of papers may be thought of as being
analogous to the theory surrounding the derivative of a lifting of the Frobenius
morphism [cf. the discussion of [IUTchI], §I4; [IUTchIII], Remark 3.12.4]. On the
other hand, the analogue of the Riemann hypothesis for one-dimensional function
fields over finite fields may be proven by considering the elementary geometry
of the [graph of the] Frobenius morphism. This state of affairs suggests that
perhaps some sort of “integral” of the theory of the present series of papers could
shed light on the Riemann hypothesis in the case of number fields.

なんかよくわからんけど、もうリーマン予想解決が近いような文章じゃない