Lucas sequences, Pell's equations, and automorphisms of K3 surfaces
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917216958545920 |
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| author | Lee, Kwangwoo |
| author_facet | Lee, Kwangwoo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15617 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Lucas sequences, Pell's equations, and automorphisms of K3 surfaces Lee, Kwangwoo Algebraic Geometry Number Theory 11B39, 11D45, 14J28, 14J50 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. |
| title | Lucas sequences, Pell's equations, and automorphisms of K3 surfaces |
| topic | Algebraic Geometry Number Theory 11B39, 11D45, 14J28, 14J50 |
| url | https://arxiv.org/abs/2601.15617 |