p-adic number

(redirected from P-adic methods)

p-adic number

(mathematics)
For a fixed prime number p, a fraction of the form a / p k , where a is a p-adic integer and k is a nonnegative integer; two such fractions, a / p k and b / p m , are considered equal if ap m and bp k are the same p-adic integer.
References in periodicals archive ?
The second is the arithmetic part, discussing some of the fundamental concepts such as the method of descent, Chabauty and Mordell-Weill sieve, rational points on curves, heights on curves, and p-adic methods.
These proceedings of the March 2003 conference honoring Steve Rallis contain 14 contributed papers on such topics as Rankin-Selberg L-functions, the relative trace formula, automorphic representations, the representation theory of p-adic groups, p-adic methods and arithmetic applications.