Displaying similar documents to “Diophantine equations with products of consecutive terms in Lucas sequences II”

Pell’s Equation

Marcin Acewicz, Karol Pąk (2017)

Formalized Mathematics

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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...

Diophantine Approximations of Infinite Series and Products

Ondřej Kolouch, Lukáš Novotný (2016)

Communications in Mathematics

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This survey paper presents some old and new results in Diophantine approximations. Some of these results improve Erdos' results on~irrationality. The results in irrationality, transcendence and linear independence of infinite series and infinite products are put together with idea of irrational sequences and expressible sets.