<p>We have the correspondences between Lucas sequences, Pell’s equations, and the automorphisms of K3 surfaces with Picard number 2. Using these correspondences, we determine the intersections of some Lucas sequences.</p>

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Lucas sequences, Pell’s equations, and automorphisms of K3 surfaces

  • Kwangwoo Lee

摘要

We have the correspondences between Lucas sequences, Pell’s equations, and the automorphisms of K3 surfaces with Picard number 2. Using these correspondences, we determine the intersections of some Lucas sequences.