Publication

  • [54] Triquadratic 3-rational fields
    Acta Arithmetica, to appear.

  • [53] Real quadratic fields with odd class number divisible by 3
    Ramanujan Journal, 62 (2023), 755-759.

  • [52] A conjecture of Gross and Zagier: case E(Q)_{tor} = Z/2Z or Z/4Z (with Taekyung Kim and Donggeon Yhee)
    Journal of the Korean Mathematical Society, 60 (2023), 1087-1107.

  • [51] Ideal class groups of imaginary quadratic fields
    Ramanujan Journal, 59 (2022) 627-634.

  • [50] Elliptic curves with conductor having n prime factors
    Acta Arithmetica, 204 (2022) 185-190.

  • [49] Class numbers of real quadratic fields (with Jigu Kim)
    Journal of Number Theory, 231 (2022) 1-47.

  • [48] Class number problem for a family of real quadratic fields (with Jigu Kim)
    Acta Arithmetica, 201 (2021) 207-217.

  • [47] Elliptic curves with all quartic twists of the same root number (with Gyeoul Han)
    Proceedings of the Japan Academy 97 (2021) 73-75.

  • [46] Restriction of scalars and cubic twists of elliptic curves (with Keunyoung Jeong and Nayoung Kim)
    Journal of the Korean Mathematical Society, 58 (2021), 123-132.

  • [45] A conjecture of Gross and Zagier: case E(Q)_{tor} = Z/2ZxZ/2Z, Z/2ZxZ/4Z, Z/2ZxZ/6Z (with Taekyung Kim and Donggeon Yhee)
    International Journal of Number Theory, 16 (2020), 1567-1572.

  • [44] An explicit lower bound for special values of Dirichlet L-functions II (with Jigu Kim)
    Journal of Number Theory, 205 (2019) 194-209.

  • [43] A conjecture of Gross and Zagier: case E(Q)_{tor} = Z/3Z (with Taekyung Kim and Donggeon Yhee)
    International Journal of Number Theory, 15 (2019) 1793-1800.

  • [42] An explicit lower bound for special values of Dirichlet L-functions (with Jigu Kim)
    Journal of Number Theory, 189 (2018) 272-303.

  • [41] Sums of two rational cubes with many prime factors (with Keunyoung Jeong)
    Journal of Number Theory 179 (2017) 240-255.

  • [40] Infinitely many elliptic curves of rank exactly two (with Keunyoung Jeong)
    Proceedings of the Japan Academy 92 (2016) 64-66.

  • [39] Optimal curves differing by a 5-isogeny (with Taekyung Kim)
    Acta Arithmetica 165 (2014) 351-359.

  • [38] Elliptic curves with all cubic twists of the same root number (with Nayoung Kim)
    Journal of Number Theory 136 (2014) 22-27.

  • [37] Real quadratic function fields of minimal type (with Jiae Keem and Sangyoon Lee)
    Communications of Korean Mathematical Society 28 (2013) 735-740.

  • [36] Elliptic curves of rank zero satisfying the p-part of the Birch and Swinnerton-Dyer conjecture (with Nayoung Kim)
    Manuscripta Mathematica 142 (2013) 383-390.

  • [35] Optimal curves differing by a 3-isogeny (with Donggeon Yhee)
    Acta Arithmetica 158 (2013) 219-227.

  • [34] Heegner points on elliptic curves with a rational torsion point
    Journal of Number Theory 132 (2012) 3029-3036.

  • [33] A note on units of real quadratic fields (with Sangyoon Lee)
    Bulletin of Korean Mathematical Society 49 (2012) 767-774.

  • [32] A complete determination of Rabinowitsch polynomials (with Jungyun Lee)
    Journal of Number Theory 131 (2011) 1513-1529.

  • [31] Rational torsion on optimal curves and rank-one quadratic twists (with Donggeon Yhee)
    Journal of Number Theory 131 (2011) 552-560.

  • [30] Elliptic curves of rank 1 satisfying the 3-part of the Birch and Swinnerton-Dyer conjecture
    Journal of Number Theory 130 (2010) 2707-2714.

  • [29] Quadratic fields with noncyclic 5 or 7-class groups
    Ramanujan Journal 19 (2009) 71--77.

  • [28] Rank-one quadratic twists of an infinite family of elliptic curves (with Daeyeol Jeon and Chang Heon Kim)
    Journal fur die Reine und Angewandte Mathematik (Crelle's Journal) 633 (2009) 67--76.

  • [27] Indivisibility of class numbers of imaginary quadratic function fields
    Acta Arithmetica 132 (2008) 373--376.

  • [26] Divisibility of class numbers of imaginary quadratic fields whose discriminant has only two prime factors (with Shinae Lee)
    Proceedings of the Japan Academy 84 (2008) 8--10.

  • [25] Class number 2 problem for certain real quadratic fields of Richaud-Degert type (with Jungyun Lee)
    Journal of Number Theory 128 (2008) 865--883.

  • [24] Mollin's conjecture (with Jungyun Lee and Myoungil Kim)
    Acta Arithmetica 126 (2007) 99-114.

  • [23] Real quadratic fields with class number divisible by 5 or 7
    Manuscripta Mathematica 120 (2006) 211-215.

  • [22] Imaginary quadratic fields with noncyclic ideal class group
    Ramanujan Journal 11 (2006) 159-164.

  • [21] Imaginary quadratic fields whose Iwasawa $\lambda$-invariants is equal to 1
    Acta Arithmetica 120 (2005) 145-152.

  • [20] Ranks of quadratic twists of an elliptic curve
    Acta Arithmetica 114 (2004) 391-396.

  • [19] Class numbers of quadratic fields $\mathbb{Q}(\sqrt{D})$ and $\mathbb{Q}(\sqrt{tD})$
    Proceedings of the American Mathematical Society 132 (2004) 3137-3140.

  • [18] Real quadratic fields with class number divisible by 3 (with E. Koh)
    Manuscripta Mathematica 111 (2003) 261-263.

  • [17] Indivisibility of special values of Dedekind zeta functions of real quadratic fields
    Acta Arithmetica 100 (2003) 231-235.

  • [16] On the finiteness of certain Rabinowitsch polynomials II (with H. M. Stark)
    Journal of Number Theory 99 (2003) 219-221.

  • [15] Existence of certain fundamental discriminants and class numbers of real quadratic fields
    Journal of Number Theory 98 (2003) 432-437.

  • [14] A note on the existence of certain infinite families of imaginary qudaratic fields
    Journal of Number Theory 97 (2002) 165-170.

  • [13] On the finiteness of certain Rabinowitsch polynomials (with H. M. Stark)
    Journal of Number Theory 94 (2002) 177-180.

  • [12] A note on class number 1 criteria for totally real algebraic number fields
    Acta Arithmetica 100 (2001) 291-295.

  • [11] Indivisibility of class numbers and Iwasawa $\lambda$-invariants of real quadratic fields (erratum)
    Compositio Mathematica 126 (2001) 249-256.

  • [10] Class number 3 problem for the simplest cubic fields
    Proceedings of the American Mathematical Society 128 (2000) 1319-1323.

  • [9] Class numbers and Iwasawa $\lambda$-invariants of certain totally real number fields
    Journal of Number Theory 79 (1999) 249-257.

  • [8] A note on basic Iwsawa $\lambda$-invariants of imaginary quadratic fields and the congruence of modular forms
    Acta Arithmetica 89 (1999) 295-299.

  • [7] Special values of zeta functions of the simplest cubic fields and their applications
    Proceedings of the Japan Academy 74 (1998) 13-15.

  • [6] Quadratic twists of elliptic curves associated to the simplest cubic fields
    Proceedings of the Japan Academy 73 (1997) 185-186.

  • [5] A note on class numbers of the simplest cubic fields
    Journal of Number Theory 65 (1997) 175-178.

  • [4] Class number 2 criteria for real quadratic fields of Richaud-Degert type (with Hyun Kwang Kim)
    Journal of Number Theory 62 (1997) 257-272.

  • [3] Class number one problem for pure cubic fields of Rudman-Stender type
    Proceedings of the Japan Academy 72 (1996) 166-167.

  • [2] Class number 1 criteria for real quadratic fields of Richaud-Degert type (with Hyun Kwang Kim)
    Journal of Number Theory 57 (1996) 328-339.

  • [1] On the cancellation problem of Zariski (with Hyun Kwang Kim)
    Bulletin of the Australian Mathematical Society 53 (1996) 499-500.