Examples of 'p-adic' in a sentence
Meaning of "p-adic"
P-adic is an adjective used in mathematics to describe a certain metric or number system
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- Of, pertaining to, (ultimately) derived from or defined in the context of p-adic numbers.
How to use "p-adic" in a sentence
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p-adic
The ring of p-adic integers is an integral domain.
An example of such a space is the p-adic numbers.
The p-adic numbers form a complete ultrametric space.
Representation theory of real and p-adic groups.
P-adic methods in the theory of classical automorphic forms.
We start with an informal introduction to p-adic numbers.
The p-adic absolute value satisfies the following properties.
It is straightforward to show that all p-adic languages are stochastic.
The p-adic numbers are an alternative number system of interest in number theory.
This course will be an introduction to the p-adic numbers.
Abstract, P-Adic numbers are a field in arithmetic analoguous to the real numbers.
Induced representations of reductive p-adic groups.
For example, the field of p-adic analysis essentially provides an alternative form of calculus.
It can be defined over either real or p-adic numbers.
In the p-adic setting, they present phenomena that do not appear in the complex case.
See also
A very simple very brief introduction to p-adic numbers.
An example is the additive group of p-adic integers, in which the integers are dense.
Hensel is well known for his introduction of p-adic numbers.
The natural topology on the p-adic integers is the same as the one described here.
Banach algebras can also be defined over fields of p-adic numbers.
The group of p-adic integers Zp under addition is profinite in fact procyclic.
The theme of the conference was p-adic variation in number theory.
Roquette worked on number and function fields and especially local p-adic fields.
The subject of this thesis is the p-adic Langlands correspondence.
The first one comes from the representation theory of reductive p-adic groups.
The space Qp of p-adic numbers is complete for any prime number pp.
The second part studies expansions of the groups of integers by p-adic valuations.
Moduli of algebraic curves p-adic Teichmüller theory Inter-universal Teichmüller theory.
These alternatives do not conflict with the notation for the p-adic integers.
The p-adic valuation of 0 is defined to be infinity.
It has become fundamental to p-adic Hodge theory.
Workshop, p-adic methods in the theory of classical automorphic forms.
Her current work concerns the p-adic Langlands program.
Cassels often studied individual Diophantine equations by algebraic number theory and p-adic methods.
Its proofs use p-adic analysis.
Basic examples of locally profinite groups are discrete groups and p-adic Lie group.
A p-adic proof that pi is transcendental.
The field Qp is used in number theory and p-adic analysis.
P-adic logarithm function.
We give applications to the algorithmic study of p-torsion representations of p-adic Galois groups.
A course in p-adic analysis.
Abstract, We study algorithmic aspects of the theory of modular representations of p-adic Galois groups.
Viewed as a p-adic measure.
The completion of Q with respect to vp is the field Qp of p-adic numbers.
With this approach we obtain the p-adic expansions of the p-adic numbers.
For example, this applies to the ring of integers in a p-adic field.
This is part of p-adic analysis.
P-adic analysis makes heavy use of the ultrametric nature of the p-adic metric.
Abstract, The results of this thesis have for background the p-adic Langlands program.
Another example is the p-adic logarithm, the inverse function of the p-adic exponential.
