p-adic en · ADJ
Etymology
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.
Meanings
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(not-comparable) Of, 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. 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 followsThe 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:
Deriveds
p-adic ultrametric · p-adic absolute value · p-adic number · p-adic norm · p-adic order · p-adic ordinal
Relateds
ℓ-adic cohomology · p-adic Riemann zeta function
Synonyms
ℓ-adic (of, etc., p-adic numbers)
Translations (9)
de p-adisch (Translations) · ro p-adic (Translations) · es p-ádico (Translations) · ca p-àdic (Translations) · it p-adico (Translations) · fr p-adique (Translations) · pt p-ádico (Translations) · pl p-adyczny (Translations) · fi p-adinen (Translations)