• 137 Citations
  • 6 h-Index
1980 …2019

Research output per year

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Research Output

  • 137 Citations
  • 6 h-Index
  • 21 Article
2019

Constructing ray class fields of a real quadratic field using elliptic curves

Fukuda, T., Komatsu, K. & Hashimoto, K., 2019 Jan 1, In : Acta Arithmetica. 187, 3, p. 219-232 14 p.

Research output: Contribution to journalArticle

2012

Jacobsthal identity for Q(√ - 2)

Hashimoto, K. I., Long, L. & Yang, Y., 2012 Nov 1, In : Forum Mathematicum. 24, 6, p. 1225-1238 14 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
2009
3 Citations (Scopus)
2008

Noether's problem and Q-generic polynomials for the normalizer of the 8-cycle in S8and its subgroups

Hashimoto, K. I., Hoshi, A. & Rikuna, Y., 2008 Apr 1, In : Mathematics of Computation. 77, 262, p. 1153-1183 31 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)
2005

Families of cyclic polynomials obtained from geometric generalization of Gaussian period relations

Hashimoto, K. I. & Hoshi, A., 2005 Jul 1, In : Mathematics of Computation. 74, 251, p. 1519-1530 12 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)
4 Citations (Scopus)
2003
Open Access
9 Citations (Scopus)
2002

On generic families of cyclic polynomials with even degree

Hashimoto, K. I. & Rikuna, Y., 2002 Dec 1, In : Manuscripta Mathematica. 107, 3, p. 283-288 6 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
2000

On Brumer’s family of RM-curves of genus two

Hashimoto, K. I., 2000 Jan 1, In : Tohoku Mathematical Journal. 52, 4, p. 475-488 14 p.

Research output: Contribution to journalArticle

Open Access
11 Citations (Scopus)
1999

Modularity conjecture for q-curves and QM-curves

Hasegawa, Y., Hashimoto, K. I. & Momose, F., 1999 Dec, In : International Journal of Mathematics. 10, 8, p. 1011-1036 26 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

On the Sato-Tate conjecture for QM-curves of genus two

Hashimoto, K. I. & Tsunogai, H., 1999 Oct 1, In : Mathematics of Computation. 68, 228, p. 1649-1662 14 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Q-curves of degree 5 and jacobian surfaces of GL2-type

Hashimoto, K. I., 1999 Feb, In : Manuscripta Mathematica. 98, 2, p. 165-182 18 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)
1996

Hyperelliptic modular curves X*0(N) with square-free levels

Hasegawa, Y. & Hashimoto, K. I., 1996 Jan 1, In : Acta Arithmetica. 77, 2, p. 179-193 15 p.

Research output: Contribution to journalArticle

Open Access
16 Citations (Scopus)
1995

Explicit form of quaternion modular embeddings

Hashimoto, K., 1995, In : Osaka Journal of Mathematics. 32, 3, p. 533-546 14 p.

Research output: Contribution to journalArticle

12 Citations (Scopus)

On type numbers of split orders of definite quaternion algebras

Hasegawa, Y. & Hashimoto, K. I., 1995 Dec 1, In : Manuscripta Mathematica. 88, 1, p. 525-534 10 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Shimura curves as intersections of humbert surfaces and defining equations of QM-curves of genus two

Hashimoto, K. & Murabayashi, N., 1995, In : Tohoku Mathematical Journal. 47, 2, p. 271-296 26 p.

Research output: Contribution to journalArticle

32 Citations (Scopus)
1989

Class numbers of definite unimodular Hermitian forms over the rings of imaginary quadratic fields

Hashimoto, K. & Koseki, H., 1989, In : Tohoku Mathematical Journal. 41, 1, p. 1-30 30 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Class numbers of positive definite binary and ternary unimodular Hermitian forms

Hashimoto, K. & Koseki, H., 1989, In : Tohoku Mathematical Journal. 41, 2, p. 171-216 46 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)
1986
1 Citation (Scopus)
1984
9 Citations (Scopus)
1980
1 Citation (Scopus)