Some new results on negative polynomial Pell's equation

K. Anitha; I. Mumtaj Fathima; A R Vijayalakshmi

Some new results on negative polynomial Pell's equation

Number Theory 2022-06-10 v4

Authors: K. Anitha , I. Mumtaj Fathima , A R Vijayalakshmi

Abstract

We consider the negative polynomial Pell's equation $P^2(X)-D(X)Q^2(X)=-1$ , where $D(X)\in \mathbb{Z}[X]$ be some fixed, monic, square-free, even degree polynomials. In this paper, we investigate the existence of polynomial solutions $P(X), \, Q(X)$ with integer coefficients.

Keywords

zeros of polynomials positive polynomials polynomial theory

Cite

@article{arxiv.2101.04906,
  title  = {Some new results on negative polynomial Pell's equation},
  author = {K. Anitha and I. Mumtaj Fathima and A R Vijayalakshmi},
  journal= {arXiv preprint arXiv:2101.04906},
  year   = {2022}
}

Comments

10 pages, some more equations added

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