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Profile
Department
Natural Sciences, Mathematics Education
Position
Professor
Academic Background
1996-1999, Tokyo Metropolitan University, Department of Mathematics, Mathematics
Degree
SDGs Related to Research
Research
Research Field
Keywords:
Academic Paper
On the existence of real quadratic fields with odd period of minimal type
Journal of the Korean Mathematical Society, the Korean Mathematical Society, Vol. 61, No. 4, pp. 779-796, 2024
Continued fractions and the class number of real quadratic orders
Tokyo Journal of Mathematics, the Publication Committee for the TJM, Vol. 47, No. 1, pp. 245-280, 2024On some subgroups of the ideal class group of real quadratic orders
Kyushu Journal of Mathematics, 九州大学, Vol. 78, No. 2, pp. 433-485, 2024Construction of families of dihedral quintic polynomials
Mathematical Journal of Okayama University, 岡山大学, Vol. 66, pp. 63-69, 2024A lower bound for the class numbers of certain real quadratic fields
Class Groups of Number Fields and Related Topics (単行書), Springer, pp. 43-56, 2020A family of pairs of imaginary cyclic fields of degree (p-1)/2 with both class numbers divisible by p
The Ramanujan Journal, Springer, Vol. 52, No. 1, pp. 133-161, 20205-class towers of cyclic quartic fields arising from quintic reflection
Annales mathématiques du Québec, Springer, Vol. 44, No. 2, pp. 299-328, 2020On some properties of partial quotients of the continued fraction expansion of √d with even period
Archiv der Mathematik, Springer, Vol. 114, No. 6, pp. 649-660, 2020Real quadratic fields, continued fractions, and a construction of primary symmetric parts of ELE type
Kyushu Journal of Mathematics, 九州大学, Vol. 73, No. 1, pp. 165-187, 2019Divisibility of the class numbers of imaginary quadratic fields
Journal of Number Theory, Elsevier, Vol. 185, pp. 339-348, 2018An infinite family of pairs of imaginary quadratic fields with both class numbers divisible by five
Journal of Number Theory, Elsevier, Vol. 176, pp. 333-343, 2017Imaginary quadratic fields whose ideal class groups have 3-rank at least three
Journal of Number Theory, Elsevier, Vol. 170, pp. 46-54, 2017A remark on the Lavallee-Spearman-Williams-Yang family of quadratic fields
Mathematical Journal of Okayama University, 岡山大学, Vol. 59, pp. 113-116, 2017A construction of real quadratic fields of minimal type and primary symmetric parts of ELE type
RIMS Kôkyûroku Bessatsu, 数理解析研究所, Vol. B64, pp. 107-121, 2017On systems of fundamental units of certain quartic fields
International Journal of Number Theory, World Scientific Publishing Company, Vol. 11, No. 7, pp. 2019-2035, 2015Continued fraction expansions with even period and primary symmetric parts with extremely large end
Commentarii Mathematici Universitatis Sancti Pauli, 立教大学, Vol. 64, No. 2, pp. 131-155, 2015Construction of positive integers with even period of minimal type
Proc. Japan Acad. Ser. A Math. Sci., 日本学士院, Vol. 90, No. 2, pp. 27-32, 2014On positive integers of minimal type concerned with the continued fraction expansion
Mathematical Journal of Okayama University, 岡山大学, Vol. 56, pp. 35-50, 2014On the 3-rank of the ideal class group of quadratic fields
Kodai Mathematical Journal, 東京工業大学, Vol. 36, No. 2, pp. 275-283, 2013Imaginary cyclic fields of degree p-1 whose ideal class groups have p-rank at least two
Publicationes Mathematicae Debrecen, University of Debrecen, Vol. 81, No. 3, pp. 447-452, 2012On the ideal class group of certain quadratic fields
Glasgow Mathematical Journal, Cambridge University Press, Vol. 52, No. 3, pp. 575-581, 2010Note on the divisibility of the class number of certain imaginary quadratic fields
Glasgow Mathematical Journal, Cambridge University Press, Vol. 51, No. 1, pp. 187-191, 2009A new family of imaginary quadratic fields whose class number is divisible by five
Journal of Number Theory, Vol. 128, No. 8, pp. 2450-2458, 2008Infinite family of imaginary cyclic fields of degree p-1 with the p-rank of the ideal class groups of at least two
Tsinghua Science and Technology, Tsinghua Univ. Press, Vol. 12, No. 4, pp. 475-478, 2007The Spiegelungssatz for p=5 from a constructive approach
Mathematical Journal of Okayama University, 岡山大学, Vol. 47, pp. 1-27, 2005On dihedral extensions and Frobenius extensions
Galois theory and modular forms (Developments in mathematics v. 11), Kluwer Acad. Publ., pp. 195-229, 2004On the Sylow p-subgroups of the ideal class groups of some imaginary cyclic fields of degree p-1
Tokyo Journal of Mathematics, 紀伊国屋, Vol. 27, No. 2, pp. 481-491, 2004A family of cyclic cubic polynomials whose roots are system of fundamental units
Journal of Number Theory, Vol. 102, No. 1, pp. 90-106, 2003A note on the 3-rank of quadratic fields
Archiv der Mathematik, Vol. 81, No. 5, pp. 520-523, 2003Imaginary cyclic fields of degree p-1 whose relative class numbers are divisible by p
Proc. Japan Acad. Ser. A Math. Sci., 日本学士院, Vol. 77, No. 4, pp. 55-58, 2001A constructive approach to Spiegelung relations between 3-ranks of absolute ideal class groups and congruent ones modulo (3)2 in quadratic fields
Journal of Number Theory, Vol. 83, No. 1, pp. 1-49, 2000Parametrization of the quadratic fields whose class numbers are divisible by three
Journal of Number Theory, Vol. 80, No. 2, pp. 209-217, 2000A criterion for a certain type of imaginary quadratic fields to have 3-ranks of the ideal class groups greater than one
Proc. Japan Acad. Ser. A Math. Sci., 日本学士院, Vol. 74, No. 6, pp. 93-97, 1998