Polynomials Consisting of Quadratic Factors with Roots Modulo Any Positive Integer
Number Theory
2022-07-19 v1
Abstract
We give an infinite family of polynomials that have roots modulo every positive integer but fail to have rational roots. Each polynomial in this family is made up of monic quadratic factors that do not have linear term.
Cite
@article{arxiv.2102.08379,
title = {Polynomials Consisting of Quadratic Factors with Roots Modulo Any Positive Integer},
author = {Bhawesh Mishra},
journal= {arXiv preprint arXiv:2102.08379},
year = {2022}
}