  The Moderate Deviations Principle (MDP) is well-understood for sums of
independent random variables, worse understood for stationary random sequences,
and scantily understood for random fields. Here it is established for some
planary random fields of the form $ X_t = \psi(G_t) $ obtained from a Gaussian
random field $ G_t $ via a function $ \psi $, and consequently, for zeroes of
the Gaussian Entire Function.
  Version 2: Appendix "Reader's guide to parts I-V" added. Minor changes, as
follows. Formulations corrected: (2.1), 3.12(b), 4.5. Proofs corrected: 2.5,
2.6, 3.12, 3.16, 3.19, 4.13, 4.14, 4.15, 5.14. Formulations clarified: 2.10,
2.11 (former 2.9, 2.10), 3.17, 5.14, 5.15, 5.23. Clarifications/copyedit:
remarks 2.11 (former 2.10), 5.17; pages 5, 11, 15, 21, 22, 36, 39, 40, 41, 42;
refs [5], [6].
