p-adic

1997, Fernando Q. Gouvêa, p-adic Numbers: An Introduction, Springer, 2nd Edition, page 60, Definition 3.3.3 The ring of p'''-adic integers is the valuation ring Z ₚ=x∈ Q ₚ:|x|ₚ<1.

The theory of p'''-adic analytic functions in domains other than simple disks is not very well known yet, although such kind of functions happens to intervene in questions linked t…