Aug 13, 2013 � Abstract:Given an odd prime p, we provide formulas for the Hensel lifts of polynomial roots modulo p, and give an explicit factorization�...
Given an odd prime $p$, we provide formulas for the Hensel lifts of polynomial roots modulo $p$, and give an explicit factorization over the ring of formal�...
All of the formulas for the Hensel lifts of polynomial roots modulo $p$ are provided and an explicit factorization over the ring of formal power series with�...
Motivated by this factorization problem the main goal of this paper is to give a factorization in Z[[x]] of certain reducible polynomials whose constant term is�...
Sep 17, 2014 � Abstract. Given an odd prime p, we provide formulas for the Hensel lifts of polynomial roots modulo p, and give an explicit factorization�...
Given an odd prime $p$, we provide formulas for the Hensel lifts of polynomial roots modulo $p$, and give an explicit factorization over the ring of formal�...
On Hensel's Roots and a Factorization Formula in Z[[x]] � Daniel BirmajerJ ... ℤ[[x]], the ring of formal power series over ℤ. We treat polynomials of�...
People also ask
What is the formula for the factorization equation?
What is the formula for factoring?
What is the factorization of a polynomial root?
How to calculate the factorization?
Birmajer, D., Gil, J. B., & Weiner, M. D. (2014). On Hensel's Roots and a Factorization Formula in Z[[x]]. https://doi.org/10.5281/ZENODO.10452489.
On Hensel's roots and a factorization formula in Z[[x]]. Daniel Birmajer ... Algebra (math.AC); Combinatorics (math.CO). [783] arXiv:1308.2988 [pdf�...
Introduction. In the p-adic integers, congruences are approximations: for a and b in Zp, a ≡ b mod pn is the same as |a − b|p ≤ 1/pn.