- p-adic integer
- мат. p-адическое целое число
Большой англо-русский и русско-английский словарь. 2001.
p-adic integer
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Integer — This article is about the mathematical concept. For integers in computer science, see Integer (computer science). Symbol often used to denote the set of integers The integers (from the Latin integer, literally untouched , hence whole : the word… … Wikipedia
p-adic number — In mathematics, and chiefly number theory, the p adic number system for any prime number p extends the ordinary arithmetic of the rational numbers in a way different from the extension of the rational number system to the real and complex number… … Wikipedia
P-adic number — In mathematics, the p adic number systems were first described by Kurt Hensel in 1897 [cite journal | last = Hensel | first = Kurt | title = Über eine neue Begründung der Theorie der algebraischen Zahlen | journal =… … Wikipedia
P-adic quantum mechanics — One may compute the energy levels for a potential well like this one.[note 1] P adic quantum mechanics is a relatively recent approach to understanding the nature of fundamental physics. It is the application of p adic analysis to quantum… … Wikipedia
p-adic Hodge theory — 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[1] with residual characteristic p (such as Qp). The theory has its beginnings in Jean Pierre… … Wikipedia
p-adic distribution — In mathematics, a p adic distribution is an analogue of ordinary distributions (i.e. generalized functions) that takes values in a ring of p adic numbers. Definition If X is a topological space, a distribution on X with values in an abelian group … Wikipedia
Algebraic number field — In mathematics, an algebraic number field (or simply number field) F is a finite (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector… … Wikipedia
Hensel's lemma — In mathematics, Hensel s lemma, named after Kurt Hensel, is a generic name for analogues for complete commutative rings (including p adic fields in particular) of the Newton method for solving equations. Since p adic analysis is in some ways… … Wikipedia
Subgroup growth — Im mathematics, subgroup growth is a branch of group theory, dealing with quantitative questions about subgroups of a given group. [citebook|title=Subgroup Growth|author=Alexander Lubotzky, Dan Segal|year=2003|publisher=Birkhäuser|id=ISBN… … Wikipedia
Smith–Minkowski–Siegel mass formula — In mathematics, the Smith–Minkowski–Siegel mass formula (or Minkowski–Siegel mass formula) is a formula for the sum of the weights of the lattices (quadratic forms) in a genus, weighted by the reciprocals of the orders of their automorphism… … Wikipedia
Discrete valuation ring — In abstract algebra, a discrete valuation ring (DVR) is a principal ideal domain (PID) with exactly one non zero maximal ideal. This means a DVR is an integral domain R which satisfies any one of the following equivalent conditions: R is a local… … Wikipedia
