Diophantine equations with products of consecutive terms in Lucas sequences II
Florian Luca, T. N. Shorey (2008)
Acta Arithmetica
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Florian Luca, T. N. Shorey (2008)
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In this article we formalize several basic theorems that correspond to Pell’s equation. We focus on two aspects: that the Pell’s equation x2 − Dy2 = 1 has infinitely many solutions in positive integers for a given D not being a perfect square, and that based on the least fundamental solution of the equation when we can simply calculate algebraically each remaining solution. “Solutions to Pell’s Equation” are listed as item #39 from the “Formalizing 100 Theorems” list maintained by Freek...
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