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.
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Anitha et al. (2024) studied this question.
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