p-adic field

p-adic field

[‚pē ′ad·ik ¦fēld]
(mathematics)
For a fixed prime number, p, the set of all p-adic numbers, with addition and multiplication defined in a natural way.
References in periodicals archive ?
They illustrate the theory with many examples, including matrix groups with entries in the field of real or complex numbers, or other locally compact fields such as p-adic field, isometry groups of various metric spaces, and discrete groups themselves.
Now, we can look for some applications to Hayman's problem in a p-adic field.
But the tools used in that study, such as properties of normal families, have no analogue on a p-adic field.
In fact they established stability of Cauchy functional equations over p-adic fields.