p-adic analysis

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• p-adic analysis — In mathematics, p adic analysis is a branch of number theory that deals with the mathematical analysis of functions of p adic numbers. The theory of complex valued numerical functions on the p adic numbers is just part of the theory of locally… …   Wikipedia

• P-adic analysis — In mathematics, p adic analysis is a branch of number theory that deals with the mathematical analysis of functions of p adic numbers.The theory of complex valued numerical functions on the p adic numbers is just part of the theory of locally… …   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 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 L-function — In mathematics, a p adic zeta function, or more generally a p adic L function, is a function analogous to the Riemann zeta function, or more general L functions, but whose domain and target are p adic (where p is a prime number). For example, the …   Wikipedia

• Mathematical analysis — Mathematical analysis, which mathematicians refer to simply as analysis, has its beginnings in the rigorous formulation of infinitesimal calculus. It is a branch of pure mathematics that includes the theories of differentiation, integration and… …   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

• p-adic exponential function — In mathematics, particularly p adic analysis, the p adic exponential function is a p adic analogue of the usual exponential function on the complex numbers. As in the complex case, it has an inverse function named the p adic logarithm. Contents 1 …   Wikipedia

• Non-classical analysis — In mathematics, non classical analysis is any system of analysis, other than classical real analysis, and complex, vector, tensor, etc., analysis based upon it. Such systems include: Abstract Stone duality,[1] a programme to re axiomatise general …   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