research article

Some new results on the negative polynomial Pell's equation

Abstract

We consider the negative polynomial Pell's equation P²(X)-D(X)Q²(X)=-1, where D(X)∈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

    Similar works