1. Arthur Baragar and Ronald van Luijk, K3 surfaces with Picard number three and canonical vector heights, Math. Comp. 76 (2007), no. 259, 1493–1498 (electronic).[MR]
  2. Robin Hartshorne and Ronald van Luijk, Non-Euclidean Pythagorean triples, a problem of Euler, and rational points on K3 surfaces, Math. Intelligencer 30 (2008), no. 4, 4–10.[MR/arXiv]
  3. Adam Logan and Ronald van Luijk, Nontrivial elements of Sha explained through K3 surfaces, Math. Comp. 78 (2009), no. 265, 441–483.[MR]
  4. Ronald van Luijk, Quartic K3 surfaces without nontrivial automorphisms, Math. Res. Lett. 13 (2006), no. 2-3, 423–439.[MR/arXiv]
  5. Ronald van Luijk, K3 surfaces with Picard number one and infinitely many rational points, Algebra and Number Theory 1 (2007), no. 1, 1–15.
  6. Ronald van Luijk, An elliptic K3 surface associated to Heron triangles, J. Number Theory 123 (2007), no. 1, 92–119.[MR]
  7. Ronald van Luijk, Cubic points on cubic curves and the Brauer-Manin obstruction on K3 surfaces, preprint (2007), 17 pages.[arXiv]
  8. Matthias Schütt, Tetsuji Shioda, and Ronald van Luijk, Lines on Fermat surfaces, J. Number Theory 130 (2010), no. 9, 1939–1963.[doi]