## Ishii, Noburo

Compute Distance To:
 Author ID: ishii.noburo Published as: Ishii, Noburo; Ishii, N.
 Documents Indexed: 33 Publications since 1974 Reviewing Activity: 134 Reviews Co-Authors: 10 Co-Authors with 12 Joint Publications 98 Co-Co-Authors
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### Co-Authors

 16 single-authored 3 Hiramatsu, Toyokazu 3 Ishida, Nobuhiko 2 Comuta, Aya 2 Yoshimura, Shunsuke 1 Chuman, Yasuhiro 1 Halter-Koch, Franz 1 Kaplan, Pierre 1 Kobayashi, Maho 1 Mimura, Yoshio 1 Momose, Fumiyuki 1 Thomas, Anthony W. 1 Williams, Kenneth S.
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### Serials

 4 Mathematica Japonica 3 Tokyo Journal of Mathematics 2 Nuclear Physics. A 2 Acta Arithmetica 2 Commentarii Mathematici Universitatis Sancti Pauli 2 The Ramanujan Journal 2 International Mathematical Forum 1 Biological Cybernetics 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Mathematics Seminar Notes 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Tsukuba Journal of Mathematics 1 Mathematical and Computer Modelling 1 Far East Journal of Mathematical Sciences 1 Proceedings of the Japan Academy
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### Fields

 27 Number theory (11-XX) 9 Algebraic geometry (14-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 1 Group theory and generalizations (20-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

19 Publications have been cited 81 times in 52 Documents Cited by Year
The equations for modular function fields of principal congruence subgroups of prime level. Zbl 0871.11031
Ishida, Nobuhiko; Ishii, Noburo
1996
Hyperelliptic modular curves. Zbl 0771.14008
Ishii, N.; Momose, F.
1991
Cusp forms of weight one, quartic reciprocity and elliptic curves. Zbl 0556.10019
Ishii, Noburo
1985
Generators and defining equation of the modular function field of the group $${\varGamma}_1(N)$$. Zbl 1004.11036
Ishida, Nobuhiko; Ishii, Noburo
2002
The equation for the modular curve $$X_1(N)$$ derived from the equation for the modular curve $$X(N)$$. Zbl 0944.11020
Ishida, Nobuhiko; Ishii, Noburo
1999
Rational expression for $$j$$-invariant function in terms of generators of modular function fields. Zbl 1161.11013
Ishii, Noburo
2007
On indefinite modular forms of weight one. Zbl 0587.12005
Hiramatsu, Toyokazu; Ishii, Noburo; Mimura, Yoshio
1986
Construction of generators of modular function fields. Zbl 0536.10016
Ishii, Noburo
1983
Stochastic automaton models for the temporal pattern discrimination of nerve impulse sequences. Zbl 0326.92004
Tsukada, M.; Ishii, N.; Sato, R.
1976
Trace of Frobenius endomorphism of an elliptic curve with complex multiplication. Zbl 1116.14027
Ishii, Noburo
2004
Quartic residuacity and cusp forms of weight one. Zbl 0574.12013
Hiramatsu, Toyokazu; Ishii, Noburo
1985
$$N$$-systems, class polynomials of double eta-quotients and singular values of $$j$$-invariant function. Zbl 1196.11086
Yoshimura, Sh.; Comuta, A.; Ishii, N.
2009
Optimal checkpointing intervals for a double modular redundancy with signatures. Zbl 1074.68573
Nakagawa, S.; Fukumoto, S.; Ishii, N.
2003
Singular values of some modular functions. Zbl 1231.11064
Ishii, Noburo; Kobayashi, Maho
2011
On the quartic residue symbol of totally positive quadratic units. Zbl 0604.12003
Ishii, Noburo
1986
On the quartic residue of quadratic units of negative norm. Zbl 0628.10004
Chuman, Yasuhiro; Ishii, Noburo
1987
Special values of generalized $$\lambda$$ functions at imaginary quadratic points. Zbl 1294.11051
Ishii, Noburo
2014
Defining equations of modular function fields. Zbl 0784.11015
Ishii, Noburo
1993
Ring class fields modulo 8 of $${\mathbb{Q}}(\sqrt{-m})$$ and the quartic character of units of $${\mathbb{Q}}(\sqrt{m})$$ for m$$\equiv 1$$ mod 8. Zbl 0705.11062
Halter-Koch, Franz; Ishii, Noburo
1989
Special values of generalized $$\lambda$$ functions at imaginary quadratic points. Zbl 1294.11051
Ishii, Noburo
2014
Singular values of some modular functions. Zbl 1231.11064
Ishii, Noburo; Kobayashi, Maho
2011
$$N$$-systems, class polynomials of double eta-quotients and singular values of $$j$$-invariant function. Zbl 1196.11086
Yoshimura, Sh.; Comuta, A.; Ishii, N.
2009
Rational expression for $$j$$-invariant function in terms of generators of modular function fields. Zbl 1161.11013
Ishii, Noburo
2007
Trace of Frobenius endomorphism of an elliptic curve with complex multiplication. Zbl 1116.14027
Ishii, Noburo
2004
Optimal checkpointing intervals for a double modular redundancy with signatures. Zbl 1074.68573
Nakagawa, S.; Fukumoto, S.; Ishii, N.
2003
Generators and defining equation of the modular function field of the group $${\varGamma}_1(N)$$. Zbl 1004.11036
Ishida, Nobuhiko; Ishii, Noburo
2002
The equation for the modular curve $$X_1(N)$$ derived from the equation for the modular curve $$X(N)$$. Zbl 0944.11020
Ishida, Nobuhiko; Ishii, Noburo
1999
The equations for modular function fields of principal congruence subgroups of prime level. Zbl 0871.11031
Ishida, Nobuhiko; Ishii, Noburo
1996
Defining equations of modular function fields. Zbl 0784.11015
Ishii, Noburo
1993
Hyperelliptic modular curves. Zbl 0771.14008
Ishii, N.; Momose, F.
1991
Ring class fields modulo 8 of $${\mathbb{Q}}(\sqrt{-m})$$ and the quartic character of units of $${\mathbb{Q}}(\sqrt{m})$$ for m$$\equiv 1$$ mod 8. Zbl 0705.11062
Halter-Koch, Franz; Ishii, Noburo
1989
On the quartic residue of quadratic units of negative norm. Zbl 0628.10004
Chuman, Yasuhiro; Ishii, Noburo
1987
On indefinite modular forms of weight one. Zbl 0587.12005
Hiramatsu, Toyokazu; Ishii, Noburo; Mimura, Yoshio
1986
On the quartic residue symbol of totally positive quadratic units. Zbl 0604.12003
Ishii, Noburo
1986
Cusp forms of weight one, quartic reciprocity and elliptic curves. Zbl 0556.10019
Ishii, Noburo
1985
Quartic residuacity and cusp forms of weight one. Zbl 0574.12013
Hiramatsu, Toyokazu; Ishii, Noburo
1985
Construction of generators of modular function fields. Zbl 0536.10016
Ishii, Noburo
1983
Stochastic automaton models for the temporal pattern discrimination of nerve impulse sequences. Zbl 0326.92004
Tsukada, M.; Ishii, N.; Sato, R.
1976
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### Cited by 33 Authors

 10 Park, Yoon Kyung 9 Koo, Jakyung 7 Lee, Yoonjin 6 Fomenko, Oleg Mstislavovich 5 Ishii, Noburo 4 Cho, Bumkyu 4 Lozano-Robledo, Álvaro 4 Voskresenskaya, Galina Valentinovna 3 Kim, Chang Heon 2 González-Jiménez, Enrique 2 Kim, Nam Min 2 Shin, Dong Hwa 2 Sun, Zhihong 2 Yang, Yifan 1 Baaziz, Houria 1 Folsom, Amanda L. 1 Hong, Kuk Jin 1 Ishida, Nobuhiko 1 Jeon, Daeyeol 1 Kida, Masanari 1 Kobayashi, Maho 1 Kodrnja, Iva 1 Koike, Masao 1 Morain, François 1 Nakata, Mitsusada 1 Nakazawa, Naoya 1 Namura, Norihiko 1 Patkowski, Alexander Eric 1 Rubin, Karl Cooper 1 Silverberg, Alice 1 Tu, Fang-Ting 1 Ye, Dongxi 1 Yoon, Dong Sung
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### Cited in 21 Serials

 8 Journal of Mathematical Sciences (New York) 7 Journal of Number Theory 7 The Ramanujan Journal 5 Mathematics of Computation 3 Journal de Théorie des Nombres de Bordeaux 2 Journal of Mathematical Analysis and Applications 2 Mathematische Zeitschrift 2 Nagoya Mathematical Journal 2 Osaka Journal of Mathematics 2 Tokyo Journal of Mathematics 2 Open Mathematics 1 Acta Arithmetica 1 Advances in Mathematics 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Tohoku Mathematical Journal. Second Series 1 Central European Journal of Mathematics 1 Research in Number Theory 1 Korean Journal of Mathematics
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### Cited in 7 Fields

 52 Number theory (11-XX) 13 Algebraic geometry (14-XX) 3 Special functions (33-XX) 2 Group theory and generalizations (20-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Sequences, series, summability (40-XX)