Quartic Integral Polynomial Pell Equations

2023/07/10 by Scherr, Zachary, Thompson, Katherine
#11G05 #14H52 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2307.04566

Abstract

In this paper we classify all monic, quartic, polynomials d(x)∈ℤ[x] for which the Pell equation f(x)²-d(x)g(x)²=1 has a non-trivial solution with f(x),g(x)∈ℤ[x].

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