Kuniaki Horie

Profile Information

Affiliation: Professor, School of Science, Department of Mathematics, Tokai University

Degree: Doctor of Science(Tokyo Metropolitan University)

J-GLOBAL ID: 200901047549571322
researchmap Member ID: 1000254568

Research Interests

Research Areas

Natural sciences / Algebra /

Education

Misc.

The ideal class group of the Z(23)-extension over the rational field

Kuniaki Horie, Mitsuko Horie

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 85(10) 155-159, Dec, 2009
THE IDEAL CLASS GROUP OF THE Z(p)-EXTENSION OVER THE RATIONALS

Kuniaki Horie, Mitsuko Horie

TOHOKU MATHEMATICAL JOURNAL, 61(4) 551-570, Dec, 2009
The ideal class group of the Z(23)-extension over the rational field

Kuniaki Horie, Mitsuko Horie

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 85(10) 155-159, Dec, 2009
The ideal class group of the Zp-extension over the rationals

Kuniaki Horie, Mitsuko Horie

Tohoku Mathematical Journal, 61(4) 551-570, Dec, 2009
The narrow class groups of the Z_17- and Z_19-extensions over the rational field

Kuniaki Horie, Mitsuko Horie

Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, 2009
The narrow class groups of the Z_17- and Z_19-extensions over the rational field

Kuniaki Horie, Mitsuko Horie

Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, 2009
The narrow class groups of some Z(p)-extensions over the rationals

Kuniaki Horie, Mitsuko Horie

ACTA ARITHMETICA, 135(2) 159-180, 2008
On the narrow class group of the Zp-extension over the rationals

Kuniaki Horie, Mitsuko Horie

早稲田大学整数論研究集会2008報告集, 121-127, 2008
The narrow class groups of some ℤ p-extensions over the rationals

Kuniaki Horie, Mitsuko Horie

Acta Arithmetica, 135(2) 159-180, 2008
On the narrow class group of the Zp-extension over the rationals

Kuniaki Horie, Mitsuko Horie

Proceedings of the workshop on Number Theory 2008, 121-127, 2008
Primary components of the ideal class group of an Iwasawa-theoretical abelian number field

Kuniaki Horie

Journal of the Mathematical Society of Japan, 59(3) 811-824, Jul, 2007
Certain primary components of the ideal class group of the Z(p)-extension over the rationals

Kuniaki Horie

TOHOKU MATHEMATICAL JOURNAL, 59(2) 259-291, Jun, 2007
Primary components of the ideal class group of an Iwasawa-theoretical abelian number field

Kuniaki Horie

Journal of the Mathematical Society of Japan, 59(3) 2007, 2007
Certain primary components if the ideal class group of the $\boldsymbol Z_p$-extension over the rationals

Kuniaki Horie

Tohoku Mathematical Journal, 59(2) 259-291, 2007
The ideal class group of the basic $\mathbf Z_p$-extension over an imaginary quadratic field

Tohoku Mathematical Journal, Vol. 57, 375--394, 2005
Triviality in ideal class groups of Iwasawa-theoretical abelian number fields

Journal of the Mathematical Society of Japan, Vol. 57, No. 3, 827--857, 2005
Primary components of the ideal class group of the $\mathbf Z_p$-extension over $\mathbf Q$ for typical inert primes

Proceedings of the Japan Academy, Ser. A, Vol. 81, No. 3, 40--43, 2005
Kronecker's theorems and relative units （$\widetilde{\chi}$-相対単数について）

早稲田大学整数論研究集会２００５報告集, 139-145, 2005
The ideal class group of the basic $\mathbf Z_p$-extension over an imaginary quadratic field

Tohoku Mathematical Journal, Vol. 57, 375--394, 2005
Triviality in ideal class groups of Iwasawa-theoretical abelian number fields

Journal of the Mathematical Society of Japan, Vol. 57, No. 3, 827--857, 2005

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Education

Misc.

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