과제정보
The author would like to thank the referee for the careful reading of the paper and many helpful suggestions.
참고문헌
- W. W. Adams and L. J. Goldstein, Introduction to Number Theory, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1976.
- T. Andreescu and D. Andrica, Quadratic Diophantine Equations, Developments in Mathematics, 40, Springer, New York, 2015. https://doi.org/10.1007/978-0-387-54109-9
- S. Cantat, Dynamique des automorphismes des surfaces projectives complexes, C. R. Acad. Sci. Paris S'er. I Math. 328 (1999), no. 10, 901-906. https://doi.org/10.1016/S0764-4442(99)80294-8
- F. Galluzzi, G. Lombardo, and C. A. M. Peters, Automorphs of indefinite binary quadratic forms and K3-surfaces with Picard number 2, Rend. Semin. Mat. Univ. Politec. Torino 68 (2010), no. 1, 57-77.
- B. van Geemen and A. Sarti, Nikulin involutions on K3 surfaces, Math. Z. 255 (2007), no. 4, 731-753. https://doi.org/10.1007/s00209-006-0047-6
- K. Hashimoto, J. Keum, and K. Lee, K3 surfaces with Picard number 2, Salem polynomials and Pell equation, J. Pure Appl. Algebra 224 (2020), no. 1, 432-443. https://doi.org/10.1016/j.jpaa.2019.05.015
- A. L. Knutsen, Smooth curves on projective K3 surfaces, Math. Scand. 90 (2002), no. 2, 215-231. https://doi.org/10.7146/math.scand.a-14371
- J. L. Lagrange, Solution d'un probleme d'arithm'etique, Oeuvres de Lagrange, Tome I, Gauthier-Villars, Paris, (1867), 669-731.
- C. T. McMullen, Dynamics on K3 surfaces: Salem numbers and Siegel disks, J. Reine Angew. Math. 545 (2002), 201-233. https://doi.org/10.1515/crll.2002.036
- S. Mori, On degrees and genera of curves on smooth quartic surfaces in P3, Nagoya Math. J. 96 (1984), 127-132. https://doi.org/10.1017/S0027763000021188
- V. Nikulin, Finite groups of automorphisms of Kahlerian K3 surfaces, Trudy Moskov. Mat. Obshch. 38 (1979), 75-137.
- V. Nikulin, Integral symmetric bilinear forms and some of their applications, Math. USSR Izv. 14 (1980), 103-167. https://doi.org/10.1070/IM1980v014n01ABEH001060