[1] Classification of the continued fraction expansion with the length of an odd period, submitted.
[2] Nonexistence of the continued fraction of a quadratic irrational number with given sequence, submitted
[3] (with SIhun Jo) The distribution of the real quadratic fields with the form of least elments of the continued fractions, submitted.
[4] On relative class number one problem of real quadratic fields, submitted
[5] Classification for existence of the continued fraction expansions of $\sqrt{d}$ and $(1+\sqrt{d})/2$, Integers 24 (2024) Paper No. 50, 7 pp
[6] Prime-producing polynomials related to class number one problem of number fields, Bull. Korean Math. Soc. 59 (2023) no. 2, 315-323
[7] Existence of the continued fractions of $\sqrt{d}$ and its applications, Bull. Korean Math. Soc. 59 (2022) no. 3, 697-707
[8] Relative class number one problem of real quadratic fields and continued fraction of $\sqrt{m}$ with period $6$, East Asian Math. J. 37 (2021) no.5, 613-617
[9] Evaluation of the zeta functions of totally real number fields and its application, East Asian Math. J. 35 (2019) , 85-90
[10] (with St\'{e}phane R. Louboutin) Fundamental units for a family of totally real cubic orders and the diophantine equation u(u+a)(u+2a)=v(v+1), International Journal of Number Theory, 13 (2017), 1729-1746
[12] (with St\'{e}phane R. Louboutin) Discriminants of cyclic cubic orders, J. Number Theory, 168 (2016), 64-71
[13] (with St\'{e}phane R. Louboutin) Determination of the orders generated by a cyclic cubic unit that are Galois invariant, J. Number Theory, 148 (2015), 33-39
[14] (with St\'{e}phane R. Louboutin) On the fundamental units of some cubic orders generated by units, Acta Arith. 165 (2014), no.3, 283-299
[15] Evaluation of the Dedekind zeta functions at s=-1 of the simplest quartic fields, J. Number Theory, 143 (2014), 24-45
[16] Class number one criterion for some non-normal totally real cubic fields, Taiwanese J. Math. 17 (2013), no. 3, 981-989
[17] (with Min-Soo Kim) On sums of products of the extended q-Euler numbers, J. Math. Anal. Appl. 397 (2013), no. 2, 522-528
[18] (with Seung Ju Cheon and Hyun Kwang Kim) Evaluation of the Dedekind zeta functions of some non-normal totally real cubic fields at negative odd integers, Manuscripta Math. 124 (2007), 551-560