P-adic_ Calculator . provides a p-adic expansion of specified rational and prime. Handles all valid rationals. Code isn’t very optimal. Lots of redundancies. About. provides a p-adic expansion of specified rational and prime Resources. Readme Releases No releases published. Packages 0. No packages published . Languages.
5/5/2021 · A p-adic number is an extension of the field of rationals such that congruences modulo powers of a fixed prime p are related to proximity in the so called p-adic metric. Any nonzero rational number x can be represented by x=(p^ar)/s, (1) where p is a prime number, r and s are integers not divisible by p, and a is a unique integer. Then define the p-adic norm of x by |x|_p=p^(-a).
provides a p-adic expansion of specified rational and prime – BlackSilverCat/P-adic_ Calculator, 4/25/2015 · Online calculator for $ p $ -adic valuations and absolute values. Ask Question Asked 6 years ago. … Does anyone know a website where I can enter a prime base and a rational and then get the $ p $ -adic valuation and the $ p $ -adic absolute value? For sure I know how to do it by hand, but I want to check my results and rule out computational …
This package is meant to do p-adic calculations . It allows addition, subtraction, multiplication and division of p-adic numbers written in Hensel expansion . Also functions as log, exp, sin, cos, sinh and cosh are defined using their power series expansion . At the end, we included a part to calculate the coefficients of a continuous function with regard to the Mahler and Vanderput base.
p-adic number – Wikipedia, p-adic number – Wikipedia, p-adic number – Wikipedia, p-adic number – Wikipedia, If we can represent all the P-adic sequences with a complete period during all the calculations , then we are sure to be able to carry out all the arithmetic operations exactly. Two formulas for the maximum length of the P-adic expansion ‘s periodic part after the P.
Could someone go though the method of finding a p-adic expansion of say $-frac{1}{6}$ in $mathbb{Z}_7?$ number-theory p-adic-number-theory. Share. Cite. Follow asked Mar 12 ’15 at 15:51. user84899 user84899. 423 4 4 silver badges 11 11 bronze badges $endgroup$ Add a comment |, Two formulas for the maximum length of the P-adic expansion ‘s periodic part after the P-adic arithmetic operations are given in this paper. Discover the world’s research 19+ million members, 11/15/2001 · Those p-adic numbers for which a i = 0 for all i -adic numbers may expand to the left forever, a property that …
We call such a representation a p-adic expansion . As we will see shortly, it is convenient to denote the p-adic expansion of an integer as a decimal, :::a m:::a 2a 1a 0, where a m is the last positive coe?cient in the series representation. There is a one-to-one correspondence between the series representation and decimal representation …
