p-adic
adjEtymology 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.
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Mathematics, Number theory, Sciences 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:
- 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.
1 more example
- 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 follows
- Synonyms
- ℓ-adic
- Derived terms
- p-adic absolute value, p-adic norm, p-adic number, p-adic order, p-adic ordinal, p-adic ultrametric
- Related terms
- ℓ-adic cohomology, p-adic Riemann zeta function