Word.ws English Dictionary

p-adic

p-adic adjective: of, pertaining to, (ultimately) derived from or defined in the context of p-adic numbers.

Adjective

p-adic (not comparable)

  1. Of, pertaining to, (ultimately) derived from or defined in the context of p-adic numbers.
    • 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 to p-adic functional analysis, number theory, and others.1995, Alain Escassut, Analytic Elements in P-adic Analysis, World Scientific, page v
    • Definition 3.3.3 The ring of p-adic integers is the valuation ring
      Z ₚ=x∈ Q ₚ:|x|ₚ<1.1997, Fernando Q. Gouvêa, p-adic Numbers: An Introduction, Springer, 2nd Edition, page 60
    Synonyms:
    ℓ-adic

Synonyms of p-adic

  • ℓ-adic

Origin of p-adic

From p + -adic. The letter p follows common number theory usage in representing an arbitrary prime number; the suffix -adic signals that properties of the number p (generally, those due to its being prime, and specifically those of a specified p) are fundamental to the theory and determine the properties of the resulting construction.

Words formed from p-adic

Phrases with p-adic

Questions about p-adic

What does p-adic mean?
P-adic means of, pertaining to, (ultimately) derived from or defined in the context of p-adic numbers.
What part of speech is p-adic?
P-adic is an adjective.

Words near p-adic in the dictionary

  1. P-1A
  2. P-1As
  3. P-A
  4. P-A conduction time
  5. p-acetylaminophenol
  6. p-adic
  7. p-adic absolute value
  8. p-adic absolute values
  9. p-adic norm
  10. p-adic norms
  11. p-adic number

Source and license

Adapted from Wiktionary: p-adic (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated:

Cite this entry: “p-adic.” Word.ws, https://word.ws/p-adic. Based on Wiktionary, CC BY-SA 4.0.