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Author ID: horie.kuniaki Recent zbMATH articles by "Horie, Kuniaki"
Published as: Horie, Kuniaki; Horie, Kuniake

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 221 times in 121 Documents Cited by Year
Elliptic curves with no rational points. Zbl 0663.14023
Nakagawa, Jin; Horie, Kuniaki
37
1988
Ideal class groups of Iwasawa-theoretical abelian extensions over the rational field. Zbl 1011.11072
Horie, Kuniaki
25
2002
A note on basic Iwasawa \(\lambda\)-invariants of imaginary quadratic fields. Zbl 0585.12004
Horie, Kuniaki
18
1987
The ideal class group of the basic \(\mathbb Z_p\)-extension over an imaginary quadratic field. Zbl 1128.11051
Horie, Kuniaki
16
2005
Certain primary components of the ideal class group of the \(\mathbb Z_p\)-extension over the rationals. Zbl 1202.11050
Horie, Kuniaki
14
2007
The existence of certain infinite families of imaginary quadratic fields. Zbl 0638.12001
Horie, Kuniaki; Ônishi, Yoshihiro
11
1988
The narrow class groups of some \({\mathbb Z}_p\)-extensions over the rationals. Zbl 1158.11046
Horie, Kuniaki; Horie, Mitsuko
10
2008
Primary components of the ideal class group of the \(\mathbb Z_p\)-extension over \(\mathbb Q\) for typical inert primes. Zbl 1114.11086
Horie, Kuniaki
9
2005
CM-fields and exponents of their ideal class groups. Zbl 0659.12011
Horie, Kuniaki; Horie, Mitsuko
9
1990
Triviality in ideal class groups of Iwasawa-theoretical abelian number fields. Zbl 1160.11357
Horie, Kuniaki
8
2005
The narrow class groups of the \(\mathbb Z_{17}\)- and \(\mathbb Z_{19}\)-extensions over the rational field. Zbl 1214.11125
Horie, Kuniaki; Horie, Mitsuko
8
2010
Trace formulae and imaginary quadratic fields. Zbl 0692.12004
Horie, Kuniaki
6
1990
The ideal class group of the \(\mathbb Z_p\)-extension over the rationals. Zbl 1238.11101
Horie, Kuniaki; Horie, Mitsuko
6
2009
On the class numbers of cyclotomic fields. Zbl 0706.11060
Horie, Kuniaki
5
1989
On a ratio between relative class numbers. Zbl 0761.11039
Horie, Kuniaki
5
1992
The ideal class group of the \(Z_{23}\)-extension over the rational field. Zbl 1234.11146
Horie, Kuniaki; Horie, Mitsuko
4
2009
Primary components of the ideal class group of an Iwasawa-theoretical Abelian number field. Zbl 1128.11052
Horie, Kuniaki
4
2007
The \(l\)-class group of the \(\mathbb Z_p\)-extension over the rational field. Zbl 1276.11175
Horie, Kuniaki; Horie, Mitsuko
4
2012
On the exponents of ideal class groups of cyclotomic fields. Zbl 0806.11046
Horie, Kuniaki
3
1993
CM-fields with all roots of unity. Zbl 0701.11063
Horie, Kuniaki
2
1990
On the exponents of ideal class groups of CM-fields. Zbl 0702.11074
Horie, Kuniaki; Horie, Mitsuko
2
1990
On the Stickelberger ideal and the relative class number. Zbl 0505.12007
Kimura, Tatsuo; Horie, Kuniaki
2
1982
On quadratic extensions of number fields and Iwasawa invariants for basic \(\mathbb{Z}_3\)-extensions. Zbl 0927.11052
Horie, Kuniaki; Kimura, Iwao
2
1999
On Iwasawa \(\lambda^{-}\)-invariants of imaginary abelian fields. Zbl 0627.12005
Horie, Kuniaki
2
1987
Deflation and residuation for class formation. Zbl 1004.20031
Horie, Kuniaki; Horie, Mitsuko
2
2001
On the Stickelberger ideal and the relative class number. Zbl 0628.12003
Kimura, Tatsuo; Horie, Kuniaki
1
1987
On the index of the Stickelberger ideal and the cyclotomic regulator. Zbl 0578.12002
Horie, Kuniaki
1
1985
Relations among certain number knots. Zbl 1057.11055
Horie, Kuniaki; Horie, Mitsuko
1
2003
On CM-fields with the same maximal real subfield. Zbl 0811.11065
Horie, Kuniaki
1
1994
On the ideal class groups of imaginary abelian fields with small conductor. Zbl 0832.11041
Horie, Kuniaki; Ogura, Hiroko
1
1995
On the 2-class groups of cyclotomic fields whose maximal real subfields have odd class numbers. Zbl 0848.11054
Horie, Kuniaki; Horie, Mitsuko
1
1995
A note on the \(\mathbb Z_p\times\mathbb Z_q\)-extension over \(\mathbb Q\). Zbl 1005.11060
Horie, Kuniaki
1
2001
The \(l\)-class group of the \(\mathbb Z_p\)-extension over the rational field. Zbl 1276.11175
Horie, Kuniaki; Horie, Mitsuko
4
2012
The narrow class groups of the \(\mathbb Z_{17}\)- and \(\mathbb Z_{19}\)-extensions over the rational field. Zbl 1214.11125
Horie, Kuniaki; Horie, Mitsuko
8
2010
The ideal class group of the \(\mathbb Z_p\)-extension over the rationals. Zbl 1238.11101
Horie, Kuniaki; Horie, Mitsuko
6
2009
The ideal class group of the \(Z_{23}\)-extension over the rational field. Zbl 1234.11146
Horie, Kuniaki; Horie, Mitsuko
4
2009
The narrow class groups of some \({\mathbb Z}_p\)-extensions over the rationals. Zbl 1158.11046
Horie, Kuniaki; Horie, Mitsuko
10
2008
Certain primary components of the ideal class group of the \(\mathbb Z_p\)-extension over the rationals. Zbl 1202.11050
Horie, Kuniaki
14
2007
Primary components of the ideal class group of an Iwasawa-theoretical Abelian number field. Zbl 1128.11052
Horie, Kuniaki
4
2007
The ideal class group of the basic \(\mathbb Z_p\)-extension over an imaginary quadratic field. Zbl 1128.11051
Horie, Kuniaki
16
2005
Primary components of the ideal class group of the \(\mathbb Z_p\)-extension over \(\mathbb Q\) for typical inert primes. Zbl 1114.11086
Horie, Kuniaki
9
2005
Triviality in ideal class groups of Iwasawa-theoretical abelian number fields. Zbl 1160.11357
Horie, Kuniaki
8
2005
Relations among certain number knots. Zbl 1057.11055
Horie, Kuniaki; Horie, Mitsuko
1
2003
Ideal class groups of Iwasawa-theoretical abelian extensions over the rational field. Zbl 1011.11072
Horie, Kuniaki
25
2002
Deflation and residuation for class formation. Zbl 1004.20031
Horie, Kuniaki; Horie, Mitsuko
2
2001
A note on the \(\mathbb Z_p\times\mathbb Z_q\)-extension over \(\mathbb Q\). Zbl 1005.11060
Horie, Kuniaki
1
2001
On quadratic extensions of number fields and Iwasawa invariants for basic \(\mathbb{Z}_3\)-extensions. Zbl 0927.11052
Horie, Kuniaki; Kimura, Iwao
2
1999
On the ideal class groups of imaginary abelian fields with small conductor. Zbl 0832.11041
Horie, Kuniaki; Ogura, Hiroko
1
1995
On the 2-class groups of cyclotomic fields whose maximal real subfields have odd class numbers. Zbl 0848.11054
Horie, Kuniaki; Horie, Mitsuko
1
1995
On CM-fields with the same maximal real subfield. Zbl 0811.11065
Horie, Kuniaki
1
1994
On the exponents of ideal class groups of cyclotomic fields. Zbl 0806.11046
Horie, Kuniaki
3
1993
On a ratio between relative class numbers. Zbl 0761.11039
Horie, Kuniaki
5
1992
CM-fields and exponents of their ideal class groups. Zbl 0659.12011
Horie, Kuniaki; Horie, Mitsuko
9
1990
Trace formulae and imaginary quadratic fields. Zbl 0692.12004
Horie, Kuniaki
6
1990
CM-fields with all roots of unity. Zbl 0701.11063
Horie, Kuniaki
2
1990
On the exponents of ideal class groups of CM-fields. Zbl 0702.11074
Horie, Kuniaki; Horie, Mitsuko
2
1990
On the class numbers of cyclotomic fields. Zbl 0706.11060
Horie, Kuniaki
5
1989
Elliptic curves with no rational points. Zbl 0663.14023
Nakagawa, Jin; Horie, Kuniaki
37
1988
The existence of certain infinite families of imaginary quadratic fields. Zbl 0638.12001
Horie, Kuniaki; Ônishi, Yoshihiro
11
1988
A note on basic Iwasawa \(\lambda\)-invariants of imaginary quadratic fields. Zbl 0585.12004
Horie, Kuniaki
18
1987
On Iwasawa \(\lambda^{-}\)-invariants of imaginary abelian fields. Zbl 0627.12005
Horie, Kuniaki
2
1987
On the Stickelberger ideal and the relative class number. Zbl 0628.12003
Kimura, Tatsuo; Horie, Kuniaki
1
1987
On the index of the Stickelberger ideal and the cyclotomic regulator. Zbl 0578.12002
Horie, Kuniaki
1
1985
On the Stickelberger ideal and the relative class number. Zbl 0505.12007
Kimura, Tatsuo; Horie, Kuniaki
2
1982
all top 5

Cited by 93 Authors

19 Horie, Kuniaki
17 Ichimura, Humio
9 Byeon, Dongho
6 Horie, Mitsuko
6 Kwon, Soun-Hi
6 Morisawa, Takayuki
5 Louboutin, Stéphane R.
5 Okazaki, Ryotaro
4 Nakajima, Shōichi
3 Chang, Ku-Young
3 Fujii, Satoshi
3 Fukuda, Takashi
3 Komatsu, Keiichi
3 Ozaki, Manabu
3 Ray, Anwesh
2 Ahn, Jeoung-Hwan
2 Beckwith, Olivia
2 Ishitsuka, Yasuhiro
2 James, Kevin
2 Sumida-Takahashi, Hiroki
2 Takai, Yuuki
2 Thorne, Frank
2 Varma, Ila
1 Asada, Mamoru
1 Assim, Jilali
1 Benmerieme, Y.
1 Bouazzaoui, Zakariae
1 Bringmann, Kathrin
1 Bruinier, Jan Hendrik
1 Burungale, Ashay A.
1 Chang, Sungkon
1 Chattopadhyay, Jaitra
1 Clark, Peter Louis
1 Dąbrowski, Andrzej Bogdan
1 Dion, Cédric
1 Edmundo, Mário J.
1 Fouvry, Etienne
1 Fujima, Shoichi
1 Gras, Georges
1 Hajir, Farshid
1 Hirakawa, Yoshinosuke
1 Ho, Wei
1 Ito, Akiko
1 Jeon, Daeyeol
1 Jiménez-Urroz, Jorge
1 Kane, Ben
1 Kawamoto, Fuminori
1 Kikuta, Toshiyuki
1 Kim, Chang Heon
1 Kim, Nayoung
1 Kimura, Tatsuo
1 Kogoshi, Yuta
1 Kraft, James Stuart
1 Kriz, Daniel J.
1 Kundu, Debanjana
1 Lamplugh, Jack
1 Lee, Jungyun
1 Lee, Yoonjin
1 Li, Chao
1 Maire, Christian
1 Makiyama, Kenji
1 Matsumura, Hideki
1 Matsuno, Kazuo
1 Miller, Steven J.
1 Morton, Patrick
1 Movahhedi, Abbas
1 Murakami, Kazuaki
1 Nagaoka, Shoyu
1 Nakagawa, Jin
1 Ogura, Hiroko
1 Okumura, Shinya
1 Olivier, Michel
1 Park, Sun-Mi
1 Peckner, Ryan
1 Pollio, Timothy P.
1 Pujahari, Sudhir
1 Ramakrishna, Ravi Kumar
1 Rapinchuk, Andrei S.
1 Saikia, Anupam
1 Shankar, Arul
1 Skinner, Christopher M.
1 Stokes, Matt
1 Sugiyama, Shingo
1 Takagi, Tsuyoshi
1 Taniguchi, Takashi
1 Taya, Hisao
1 Valloni, Domenico
1 Vatsal, Vinayak
1 Wieczorek, Małgorzata
1 Wiles, Andrew John
1 Woerheide, Arthur
1 Yasuda, Masaya
1 Yoshizaki, Hyuga
all top 5

Cited in 44 Serials

24 Journal of Number Theory
9 Proceedings of the American Mathematical Society
8 Proceedings of the Japan Academy. Series A
5 Journal of the Mathematical Society of Japan
5 Manuscripta Mathematica
5 Transactions of the American Mathematical Society
4 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4 Duke Mathematical Journal
4 Tôhoku Mathematical Journal. Second Series
4 Journal de Théorie des Nombres de Bordeaux
3 Acta Arithmetica
3 Functiones et Approximatio. Commentarii Mathematici
3 Journal für die Reine und Angewandte Mathematik
3 International Journal of Number Theory
2 Bulletin of the Australian Mathematical Society
2 Mathematics of Computation
2 Journal of Pure and Applied Algebra
2 Journal of the Ramanujan Mathematical Society
2 Experimental Mathematics
2 The Ramanujan Journal
1 Israel Journal of Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Rocky Mountain Journal of Mathematics
1 Archiv der Mathematik
1 Bulletin de la Société Mathématique de France
1 Compositio Mathematica
1 Inventiones Mathematicae
1 Journal of Algebra
1 Journal of the London Mathematical Society. Second Series
1 Kodai Mathematical Journal
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Osaka Journal of Mathematics
1 Tokyo Journal of Mathematics
1 Journal of the American Mathematical Society
1 Japan Journal of Industrial and Applied Mathematics
1 The New York Journal of Mathematics
1 Documenta Mathematica
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Algebra & Number Theory
1 Forum of Mathematics, Sigma
1 Research in the Mathematical Sciences
1 Research in Number Theory
1 Proceedings of the American Mathematical Society. Series B

Citations by Year