In number theory, given a prime number p, the p-adic numbers form an extension of the rational numbers which is distinct from the real numbers, though...

In number theory, the p-adic valuation or p-adic order of an integer n is the exponent of the highest power of the prime number p that divides n. It is...

In mathematics, p-adic analysis is a branch of number theory that deals with the mathematical analysis of functions of p-adic numbers. The theory of complex-valued...

target are p-adic (where p is a prime number). For example, the domain could be the p-adic integers Zp, a profinite p-group, or a p-adic family of Galois...

In mathematics, particularly p-adic analysis, the p-adic exponential function is a p-adic analogue of the usual exponential function on the complex numbers...

d p ) {\displaystyle (\mathbb {Q} ,d_{p})} ⁠ is not complete, and its completion is the p-adic number field ⁠ Q p . {\displaystyle \mathbb {Q} _{p}.}...

Arithmetic dynamics Kaprekar number p-adic number p-adic analysis Zero-divisor See Gérard Michon's article at "spherical number". Oxford English Dictionary...

In mathematics, p-adic Hodge theory is a theory that provides a way to classify and study p-adic Galois representations of characteristic 0 local fields...

{\displaystyle \mathbb {Q} } lead to the fields Q p {\displaystyle \mathbb {Q} _{p}} of p-adic numbers (for any prime number p), which are thereby analogous to R {\displaystyle...

Assistant director in charge adic may refer to: adicity of an operation the I-adic filtration, I-adic completion, or I-adic topology of a ring or module...