ScholarLens Back to search
2019•arXiv (Cornell University)Open access

Factorization of Polynomials over the Field of Rational Numbers

Duggirala Meher Krishna, Duggirala Ravi

Open full text 0 citations

Abstract

In this paper, a randomized algorithm for deciding the irreducibility of an irreducible polynomial and factoring a reducible polynomial over the field of rational numbers is presented. The main idea underlying the algorithm is based on conversion of a given polynomial into a polynomial with integer coefficients and reduction to mod p, for several large prime numbers p, without applying a lifting method.

Open-access reader

About this research paper

What this paper is about

In this paper, a randomized algorithm for deciding the irreducibility of an irreducible polynomial and factoring a reducible polynomial over the field of rational numbers is presented. The main idea underlying the algorithm is based on conversion of a given polynomial into a polynomial with integer coefficients and reduction to mod p, for several large prime numbers p, without applying a lifting method.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In this paper, a randomized algorithm for deciding the irreducibility of an irreducible polynomial and factoring a reducible polynomial over the field of rational numbers is presented. The main idea underlying the algorithm is based on conversion of a given polynomial into a polynomial with integer coefficients and reduction to mod p, for several large prime numbers p, without applying a lifting method.

Key concepts: Mathematics, Factorization of polynomials, Irreducible polynomial, Factorization, Square-free polynomial, Irreducibility, Polynomial, Reciprocal polynomial

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Factorization of Polynomials over the Field of Rational Numbers — Research Paper | ScholarLens