adic
Adjective
Meaning
adic (not comparable)
(mathematics) Relating to adicity
Phrases with the word
Anagrams
Examples
In the theory of Shimura varieties it associates automorphic representations of other groups to certain l -adic Galois representations as well.
Hence we want to define a notion of infinite sum which makes these expressions meaningful, and this is most easily accomplished by the introduction of the p -adic metric.
It is also possible to write p -adic expansions so that the powers of p increase from left to right, and digits are carried to the right.
Notation There are several different conventions for writing p -adic expansions.
Note that this is not the only way to write p -adic numbers – for alternatives see the Notation section below.
So far this article has used a notation for p -adic expansions in which powers of p increase from right to left.