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- Thesis
- Master thesis:
On a family of polynomials of $S_3$-types of the rational field (Japanese)
Tokyo Metropolitan University, pp.11, 1995/96.
- Doctor thesis:
Studies in Arithmetic of Quadratic Fields Based on
$S_3$-Polynomials
Tokyo Metropolitan University, pp.63, Mar. 1999.
- Refereed papers
- A 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. 74 (1998), no. 6, 93--97.
- Parametrization of the quadratic fields whose class numbers are divisible by three (with Katsuya Miyake)
J. Number Theory 80 (2000), no. 2, 209--217.
- A constructive approach to Spiegelung relations between $3$-ranks of absolute ideal class groups and congruent ones modulo $(3)^2$ in quadratic fields
J. Number Theory 83 (2000), no. 1, 1--49.
- Imaginary cyclic fields of degree $p-1$ whose relative class numbers are divisible by $p$
Proc. Japan Acad. Ser. A Math. Sci. 77 (2001), no. 4, 55--58.
- A family of cyclic cubic polynomials whose roots are systems of fundamental units
J. Number Theory 102 (2003), no. 1, 90--106.
- Erratum to: "A family of cyclic cubic polynomials whose roots are systems of fundamental units" [J. Number Theory 102 (2003), no. 1, 90--106] by Y. Kishi
J. Number Theory 103 (2003), no. 1, 132--133.
- A note on the $3$-rank of quadratic fields
Arch. Math. (Basel) 81 (2003), no. 5, 520--523.
- On dihedral extensions and Frobenius extensions (with Masafumi Imaoka)
in Galois theory and modular forms 195--220, Dev. Math., 11, Kluwer Acad. Publ., Boston, MA, 2004.
- On the Sylow $p$-subgroups of the ideal class groups of some imaginary cyclic fields of degree $p-1$
Tokyo J. Math. 27 (2004), no. 2, 481--491.
- The Spiegelungssatz for $p=5$ from a constructive approach
Math. J. Okayama Univ. 47 (2005), 1--27.
- Infinite family of imaginary cyclic fields of degree $p-1$ with the $p$-rank of the ideal class groups of at least two (with Shin-ichi Katayama)
Tsinghua Sci. Technol. 12 (2007), no. 4, 475--478.
- A new family of imaginary quadratic fields whose class number is divisible by five
J. Number Theory 128 (2008), no. 8, 2450--2458.
- Note on the divisibility of the class number
of certain imaginary quadratic fields
Glasgow Math. J. 51 (2009), no. 1, 187--191.
- On $D_5$-polynomials with integer coefficients
Ann. Math. Blaise Pascal 16 (2009), no. 1, 113--125.
- Note on the divisibility of the class number
of certain imaginary quadratic fields - Corrigendum
Glasgow Math. J. 52 (2010), no. 1, 207--208.
- On the ideal class group of certain quadratic fields
Glasgow Math. J. 52 (2010), no. 3, 575--581.
- Reports or non-refereed papers
- Characteristics of quadratic fields whose class numbers are divisible by $3$ (Japanese)
in Algebraic number theory and related topics (Japanese) 151--155, Surikaisekikenkyusho Kokyuroku No. 1026, 1998.
- A Constructive Approach to Spiegelung-Relations between $3$-Ranks of Absolute Ideal Class Groups and Congruent Ones Modulo $3^2$ in Quadratic Fields (Japanese)
in Number Theory (Japanese) 7--14, Reports of a study meeting in Waseda University, No. 10, 1999.
- Constructions of Polynomials for Inverse Galois Problem and its Application (Japanese)
Gumma Hosen Kiyou (Japanese) 14 (2000), 41--50.
- On imaginary cyclic fields of degree $p-1$ which have $p$-ranks of the ideal class groups greater than one (Japanese)
163--172, Reports of a Number Theory meeting in Waseda University, 2002.
- An infinite family of imaginary cyclic fields of degree $p-1$ which have ideal class groups of $p$-ranks greater than one (with Shin-ichi Katayama)
in Yokoi-Chowla Conjecture and Related Problems 43--50, Proceedings of the 2003 Nagoya Conference, 2004.
- A constructive approach to the Spiegelungssatz for $p=5$
in Théorie des nombres et applications 129--142, Comptes rendus de la conférence internationale Maroc-Québec 2003, 2004.
- A constructive approach to the Spiegelungssatz (Japanese)
33--49, Proceedings of the 3rd Workshop on Number Theory, 2005.
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