Meanings
- not comparablemathematicsOf, pertaining to, (ultimately) derived from or defined in the context of p-adic numbers.
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.
2 more examples
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 v2. Preliminaries 3. A p-adic Cauchy problem 4. The p-adic Hilbert transform 5. The boundaries in the p-adic space L^q […]
2007, Nguyen Minh Cheung, Nguyen Van Co, Le Quang Thuan, §12: Harmonic Analysis Over P-adic Field I: Some Equations and Singular Field Operators, N. M. Chuong, Yu V. Egorov, A. Khrennikov, Y. Meyer, D. Mumford (editors), Harmonic, Wavelet and P-adic Analysis, World Scientific, page 272, The paper is organized as followsSynonyms: ℓ-adic
Synonyms & antonyms
adjectiveOf, pertaining to, (ultimately) derived from or defined in the context of p-adic numbers.
Origin
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.
Full word history & related roots →Translations
Catalan p-àdic
- p-àdicTranslations
Finnish p-adinen
- p-adinenTranslations
French p-adique
- p-adiqueTranslations
German p-adisch
- p-adischTranslations
Italian p-adico
- p-adicoTranslations
Polish p-adyczny
- p-adycznyTranslations
Portuguese p-ádico
- p-ádicoTranslations
Romanian p-adic
- p-adicTranslations
Spanish p-ádico
- p-ádicoTranslations
Cite this entry
p-adic. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/p-adic
“p-adic.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/p-adic. Accessed November 2, 2026.
WatkinsX Dictionary, s.v. “p-adic,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/p-adic.
Source: p-adic on Wiktionary, CC BY-SA 4.0.