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My research interest lies in number theory. In particular, my PhD thesis concerns the arithmetic of linear recurrence sequences and related problems, especially the divisibility properties of Lucas sequences.
I am also interested in exploring explicit integral/rational solutions of Diophantine equations.
Publications and Preprints
- H.-J. Hong, On big primitive divisors of Fibonacci numbers, arXiv:2312.04354, 2023. (Accepted by Ramanujan Journal)
- H.-J. Hong, Stewart’s theorem revisited: suppressing the norm hypothesis, Bol. Soc. Mat. Mex. (3) 28 (2022), no. 3, Paper No. 60, 10. MR 4462796 arXiv version
- Yu. Bilu, H.-J. Hong, and F. Luca, Big prime factors in orders of elliptic curves over finite fields, Publ. Math. Debrecen 102 (2023), no. 3-4, 459–474. MR 4592786 arXiv version
- Yu. Bilu, S. Gun, and H.-J. Hong, Uniform explicit Stewart theorem on prime factors of linear recurrences, Acta Arith. 206 (2022), no. 3, 223–243. MR 4522848 arXiv version