Edit Profile (opens in new tab) Ishii, Noburo Co-Author Distance Author ID: ishii.noburo Published as: Ishii, Noburo; Ishii, N. Documents Indexed: 36 Publications since 1974, including 3 Additional arXiv Preprints Reviewing Activity: 153 Reviews Co-Authors: 10 Co-Authors with 12 Joint Publications 101 Co-Co-Authors all top 5 Co-Authors 19 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 Williams, Kenneth S. all top 5 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 all top 5 Fields 30 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 77 times in 59 Documents Cited by ▼ Year ▼ The equations for modular function fields of principal congruence subgroups of prime level. Zbl 0871.11031 Ishida, Nobuhiko; Ishii, Noburo 17 1996 Cusp forms of weight one, quartic reciprocity and elliptic curves. Zbl 0556.10019 Ishii, Noburo 13 1985 Hyperelliptic modular curves. Zbl 0771.14008 Ishii, N.; Momose, F. 12 1991 Generators and defining equation of the modular function field of the group \({\varGamma}_1(N)\). Zbl 1004.11036 Ishida, Nobuhiko; Ishii, Noburo 9 2002 Rational expression for \(j\)-invariant function in terms of generators of modular function fields. Zbl 1161.11013 Ishii, Noburo 7 2007 On indefinite modular forms of weight one. Zbl 0587.12005 Hiramatsu, Toyokazu; Ishii, Noburo; Mimura, Yoshio 6 1986 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 5 1999 Construction of generators of modular function fields. Zbl 0536.10016 Ishii, Noburo 4 1983 Singular values of some modular functions. Zbl 1231.11064 Ishii, Noburo; Kobayashi, Maho 3 2011 Stochastic automaton models for the temporal pattern discrimination of nerve impulse sequences. Zbl 0326.92004 Tsukada, M.; Ishii, N.; Sato, R. 3 1976 Trace of Frobenius endomorphism of an elliptic curve with complex multiplication. Zbl 1116.14027 Ishii, Noburo 3 2004 \(N\)-systems, class polynomials of double eta-quotients and singular values of \(j\)-invariant function. Zbl 1196.11086 Yoshimura, Sh.; Comuta, A.; Ishii, N. 2 2009 Optimal checkpointing intervals for a double modular redundancy with signatures. Zbl 1074.68573 Nakagawa, S.; Fukumoto, S.; Ishii, N. 2 2003 Quartic residuacity and cusp forms of weight one. Zbl 0574.12013 Hiramatsu, Toyokazu; Ishii, Noburo 2 1985 On the quartic residue symbol of totally positive quadratic units. Zbl 0604.12003 Ishii, Noburo 2 1986 On the quartic residue of quadratic units of negative norm. Zbl 0628.10004 Chuman, Yasuhiro; Ishii, Noburo 1 1987 Phase transition from nuclear matter to color superconducting quark matter. Zbl 1097.81933 Bentz, W.; Horikawa, T.; Ishii, N.; Thomas, A. W. 1 2003 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 1 1989 Defining equations of modular function fields. Zbl 0784.11015 Ishii, Noburo 1 1993 Special values of generalized \(\lambda\) functions at imaginary quadratic points. Zbl 1294.11051 Ishii, Noburo 1 2014 Special values of generalized \(\lambda\) functions at imaginary quadratic points. Zbl 1294.11051 Ishii, Noburo 1 2014 Singular values of some modular functions. Zbl 1231.11064 Ishii, Noburo; Kobayashi, Maho 3 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. 2 2009 Rational expression for \(j\)-invariant function in terms of generators of modular function fields. Zbl 1161.11013 Ishii, Noburo 7 2007 Trace of Frobenius endomorphism of an elliptic curve with complex multiplication. Zbl 1116.14027 Ishii, Noburo 3 2004 Optimal checkpointing intervals for a double modular redundancy with signatures. Zbl 1074.68573 Nakagawa, S.; Fukumoto, S.; Ishii, N. 2 2003 Phase transition from nuclear matter to color superconducting quark matter. Zbl 1097.81933 Bentz, W.; Horikawa, T.; Ishii, N.; Thomas, A. W. 1 2003 Generators and defining equation of the modular function field of the group \({\varGamma}_1(N)\). Zbl 1004.11036 Ishida, Nobuhiko; Ishii, Noburo 9 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 5 1999 The equations for modular function fields of principal congruence subgroups of prime level. Zbl 0871.11031 Ishida, Nobuhiko; Ishii, Noburo 17 1996 Defining equations of modular function fields. Zbl 0784.11015 Ishii, Noburo 1 1993 Hyperelliptic modular curves. Zbl 0771.14008 Ishii, N.; Momose, F. 12 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 1 1989 On the quartic residue of quadratic units of negative norm. Zbl 0628.10004 Chuman, Yasuhiro; Ishii, Noburo 1 1987 On indefinite modular forms of weight one. Zbl 0587.12005 Hiramatsu, Toyokazu; Ishii, Noburo; Mimura, Yoshio 6 1986 On the quartic residue symbol of totally positive quadratic units. Zbl 0604.12003 Ishii, Noburo 2 1986 Cusp forms of weight one, quartic reciprocity and elliptic curves. Zbl 0556.10019 Ishii, Noburo 13 1985 Quartic residuacity and cusp forms of weight one. Zbl 0574.12013 Hiramatsu, Toyokazu; Ishii, Noburo 2 1985 Construction of generators of modular function fields. Zbl 0536.10016 Ishii, Noburo 4 1983 Stochastic automaton models for the temporal pattern discrimination of nerve impulse sequences. Zbl 0326.92004 Tsukada, M.; Ishii, N.; Sato, R. 3 1976 all cited Publications top 5 cited Publications all top 5 Cited by 39 Authors 13 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 3 Shin, Dong Hwa 2 González-Jiménez, Enrique 2 Kida, Masanari 2 Kim, Nam Min 2 Sun, Zhihong 2 Yang, Yifan 2 Yoon, Dong Sung 1 Baaziz, Houria 1 Barrios, Alexander J. 1 Darmon, Henri René 1 Folsom, Amanda L. 1 Harris, Michael Howard 1 Hong, Kuk Jin 1 Ishida, Nobuhiko 1 Jeon, Daeyeol 1 Katayama, Yuta 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 Rotger, Victor 1 Rubin, Karl Cooper 1 Silverberg, Alice 1 Tu, Fang-Ting 1 Venkatesh, Akshay 1 Ye, Dongxi all top 5 Cited in 24 Serials 8 Journal of Mathematical Sciences (New York) 7 Journal of Number Theory 7 The Ramanujan Journal 5 Mathematics of Computation 3 Journal of Mathematical Analysis and Applications 3 Journal de Théorie des Nombres de Bordeaux 3 International Journal of Number Theory 2 Acta Arithmetica 2 Mathematische Zeitschrift 2 Nagoya Mathematical Journal 2 Osaka Journal of Mathematics 2 Tokyo Journal of Mathematics 2 Open Mathematics 1 Advances in Mathematics 1 Journal of the Korean Mathematical Society 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Tôhoku Mathematical Journal. Second Series 1 Central European Journal of Mathematics 1 Research in Number Theory 1 Korean Journal of Mathematics all top 5 Cited in 7 Fields 59 Number theory (11-XX) 15 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) Citations by Year