Edit Profile (opens in new tab) Noro, Masayuki Compute Distance To: Compute Author ID: noro.masayuki Published as: Noro, Masayuki; Noro, M. Documents Indexed: 44 Publications since 1987 Co-Authors: 35 Co-Authors with 30 Joint Publications 498 Co-Co-Authors all top 5 Co-Authors 14 single-authored 13 Yokoyama, Kazuhiro 4 Takeshima, Taku 3 Takayama, Nobuki 2 Izu, Tetsuya 2 Kogure, Jun 2 Nishiyama, Kenta 2 Ohara, Katsuyoshi 2 Sasaki, Takeshi 2 Yoshida, Masaaki 1 Anai, Hirokazu 1 Aoki, Satoshi 1 Aoyama, Toru 1 Fujimori, Shoichi 1 Kaneko, Masanobu 1 Kawazoe, Taro 1 Kitagawa, Masahiro 1 Kontani, Takuya 1 Kurata, Yosuke 1 Maekawa, Masahide 1 McKay, John 1 Nagase, Keiko 1 Nakayama, Hiromasa 1 Ozawa, Masanao 1 Saji, Kentaro 1 Sei, Tomonari 1 Shimoyama, Takeshi 1 Shiraynagi, K. 1 Strazdins, Peter E. 1 Takemura, Akimichi 1 Tamura, Yasushi 1 Tose, Nobuyuki 1 Tsurumaki, Ken’ichi 1 Yamada, Kotaro 1 Yamagajo, T. 1 Yasuda, Masaya all top 5 Serials 7 Journal of Symbolic Computation 7 RIMS Kokyuroku 1 Commentarii Mathematici Universitatis Sancti Pauli 1 Journal of the Faculty of Science. Section I A 1 Advances in Applied Mathematics 1 International Journal of Mathematics 1 Experimental Mathematics 1 Information 1 Quantum Information Processing 1 Mathematics in Computer Science 1 Japanese Journal of Statistics and Data Science all top 5 Fields 22 Commutative algebra (13-XX) 21 Computer science (68-XX) 9 Number theory (11-XX) 5 Field theory and polynomials (12-XX) 4 Algebraic geometry (14-XX) 4 Special functions (33-XX) 3 Associative rings and algebras (16-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Partial differential equations (35-XX) 2 Differential geometry (53-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 Group theory and generalizations (20-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 154 times in 117 Documents Cited by ▼ Year ▼ Holonomic gradient descent and its application to the Fisher-Bingham integral. Zbl 1226.90137Nakayama, Hiromasa; Nishiyama, Kenta; Noro, Masayuki; Ohara, Katsuyoshi; Sei, Tomonari; Takayama, Nobuki; Takemura, Akimichi 24 2011 Risa/Asir – a computer algebra system. Zbl 0964.68597Noro, Masayuki; Takeshima, Taku 20 1992 Solutions of systems of algebraic equations and linear maps on residue class rings. Zbl 0757.13013Yokoyama, Kazuhiro; Noro, Masayuki; Takeshima, Taku 16 1992 A modular method to compute the rational univariate representation of zero-dimensional ideals. Zbl 0945.13010Noro, Masayuki; Yokoyama, Kazuhiro 14 1999 An efficient modular algorithm for computing the global \(b\)-function. Zbl 1057.68149Noro, Masayuki 10 2002 A computer algebra system: Risa/Asir? Zbl 1027.68152Noro, Masayuki 8 2003 Computing primitive elements of extension fields. Zbl 0697.68054Yokoyama, Kazuhiro; Noro, Masayuki; Takeshima, Taku 6 1989 Computation of the splitting fields and the Galois groups of polynomials. - Appendix. Zbl 0867.12006Anai, H.; Noro, M.; Yokoyama, K. 6 1996 Implementation of prime decomposition of polynomial ideals over small finite fields. Zbl 1137.13318Noro, Masayuki; Yokoyama, Kazuhiro 5 2005 New algorithms for computing primary decomposition of polynomial ideals. Zbl 1229.13003Noro, Masayuki 5 2010 Yet another practical implementation of polynomial factorization over finite fields. Zbl 1072.68690Noro, Masayuki; Yokoyama, Kazuhiro 4 2002 Verification of Gröbner basis candidates. Zbl 1434.13029Noro, Masayuki; Yokoyama, Kazuhiro 4 2014 Algorithms for computing a primary ideal decomposition without producing intermediate redundant components. Zbl 1229.13026Kawazoe, Taro; Noro, Masayuki 4 2011 The design and implementation of OpenXM-RFC 100 and 101. Zbl 1010.68220Maekawa, Masahide; Noro, Masayuki; Takayama, Nobuki; Tamura, Yasushi; Ohara, Katsuyoshi 3 2001 On a conjecture for the dimension of the space of the multiple zeta values. Zbl 1143.14301Kaneko, Masanobu; Noro, Masayuki; Tsurumaki, Ken’ichi 3 2008 System of partial differential equations for the hypergeometric function \(_1F_1\) of a matrix argument on diagonal regions. Zbl 1429.35052Noro, Masayuki 3 2016 Usage of modular techniques for efficient computation of ideal operations. Zbl 1402.13026Noro, Masayuki; Yokoyama, Kazuhiro 3 2018 Modular algorithms for computing minimal associated primes and radicals of polynomial ideals. Zbl 1467.13041Aoyama, Toru; Noro, Masayuki 2 2018 Confluence of swallowtail singularities of the hyperbolic Schwarz map defined by the hypergeometric differential equation. Zbl 1152.33303Noro, Masayuki; Sasaki, Takeshi; Yamada, Kotaro; Yoshida, Masaaki 2 2008 Efficient implementation of Schoof’s algorithm. Zbl 0944.11042Izu, Tetsuya; Kogure, Jun; Noro, Masayuki; Yokoyama, Kazuhiro 2 1998 Modular dynamic evaluation. Zbl 1356.68292Noro, Masayuki 2 2006 Stratification associated with local \(b\)-functions. Zbl 1184.13079Nishiyama, Kenta; Noro, Masayuki 2 2010 Schwarz maps for the hypergeometric differential equation. Zbl 1326.53098Fujimori, Shoichi; Noro, Masayuki; Saji, Kentaro; Sasaki, Takeshi; Yoshida, Masaaki 2 2015 An efficient implementation for computing Gröbner bases over algebraic number fields. Zbl 1230.13027Noro, Masayuki 1 2006 Links to projects. Mathematical software, icms2006 – developer’s meeting. Zbl 1283.68409Noro, Masayuki; Takayama, Nobuki 1 2006 The theory of Radon transformations and 2-microlocalization. I: Vanishing theorem for the sheaf of microfunctions with holomorphic parameters. Zbl 0654.35004Noro, Masayuki; Tose, Nobuyuki 1 1987 Modular algorithms for computing a generating set of the syzygy module. Zbl 1239.13037Noro, Masayuki 1 2009 Usage of modular techniques for efficient computation of ideal operations. Zbl 1402.13026Noro, Masayuki; Yokoyama, Kazuhiro 3 2018 Modular algorithms for computing minimal associated primes and radicals of polynomial ideals. Zbl 1467.13041Aoyama, Toru; Noro, Masayuki 2 2018 System of partial differential equations for the hypergeometric function \(_1F_1\) of a matrix argument on diagonal regions. Zbl 1429.35052Noro, Masayuki 3 2016 Schwarz maps for the hypergeometric differential equation. Zbl 1326.53098Fujimori, Shoichi; Noro, Masayuki; Saji, Kentaro; Sasaki, Takeshi; Yoshida, Masaaki 2 2015 Verification of Gröbner basis candidates. Zbl 1434.13029Noro, Masayuki; Yokoyama, Kazuhiro 4 2014 Holonomic gradient descent and its application to the Fisher-Bingham integral. Zbl 1226.90137Nakayama, Hiromasa; Nishiyama, Kenta; Noro, Masayuki; Ohara, Katsuyoshi; Sei, Tomonari; Takayama, Nobuki; Takemura, Akimichi 24 2011 Algorithms for computing a primary ideal decomposition without producing intermediate redundant components. Zbl 1229.13026Kawazoe, Taro; Noro, Masayuki 4 2011 New algorithms for computing primary decomposition of polynomial ideals. Zbl 1229.13003Noro, Masayuki 5 2010 Stratification associated with local \(b\)-functions. Zbl 1184.13079Nishiyama, Kenta; Noro, Masayuki 2 2010 Modular algorithms for computing a generating set of the syzygy module. Zbl 1239.13037Noro, Masayuki 1 2009 On a conjecture for the dimension of the space of the multiple zeta values. Zbl 1143.14301Kaneko, Masanobu; Noro, Masayuki; Tsurumaki, Ken’ichi 3 2008 Confluence of swallowtail singularities of the hyperbolic Schwarz map defined by the hypergeometric differential equation. Zbl 1152.33303Noro, Masayuki; Sasaki, Takeshi; Yamada, Kotaro; Yoshida, Masaaki 2 2008 Modular dynamic evaluation. Zbl 1356.68292Noro, Masayuki 2 2006 An efficient implementation for computing Gröbner bases over algebraic number fields. Zbl 1230.13027Noro, Masayuki 1 2006 Links to projects. Mathematical software, icms2006 – developer’s meeting. Zbl 1283.68409Noro, Masayuki; Takayama, Nobuki 1 2006 Implementation of prime decomposition of polynomial ideals over small finite fields. Zbl 1137.13318Noro, Masayuki; Yokoyama, Kazuhiro 5 2005 A computer algebra system: Risa/Asir? Zbl 1027.68152Noro, Masayuki 8 2003 An efficient modular algorithm for computing the global \(b\)-function. Zbl 1057.68149Noro, Masayuki 10 2002 Yet another practical implementation of polynomial factorization over finite fields. Zbl 1072.68690Noro, Masayuki; Yokoyama, Kazuhiro 4 2002 The design and implementation of OpenXM-RFC 100 and 101. Zbl 1010.68220Maekawa, Masahide; Noro, Masayuki; Takayama, Nobuki; Tamura, Yasushi; Ohara, Katsuyoshi 3 2001 A modular method to compute the rational univariate representation of zero-dimensional ideals. Zbl 0945.13010Noro, Masayuki; Yokoyama, Kazuhiro 14 1999 Efficient implementation of Schoof’s algorithm. Zbl 0944.11042Izu, Tetsuya; Kogure, Jun; Noro, Masayuki; Yokoyama, Kazuhiro 2 1998 Computation of the splitting fields and the Galois groups of polynomials. - Appendix. Zbl 0867.12006Anai, H.; Noro, M.; Yokoyama, K. 6 1996 Risa/Asir – a computer algebra system. Zbl 0964.68597Noro, Masayuki; Takeshima, Taku 20 1992 Solutions of systems of algebraic equations and linear maps on residue class rings. Zbl 0757.13013Yokoyama, Kazuhiro; Noro, Masayuki; Takeshima, Taku 16 1992 Computing primitive elements of extension fields. Zbl 0697.68054Yokoyama, Kazuhiro; Noro, Masayuki; Takeshima, Taku 6 1989 The theory of Radon transformations and 2-microlocalization. I: Vanishing theorem for the sheaf of microfunctions with holomorphic parameters. Zbl 0654.35004Noro, Masayuki; Tose, Nobuyuki 1 1987 all cited Publications top 5 cited Publications all top 5 Cited by 169 Authors 17 Tajima, Shinichi 14 Nabeshima, Katsusuke 9 Takayama, Nobuki 8 Takemura, Akimichi 7 Noro, Masayuki 7 Yokoyama, Kazuhiro 6 Koyama, Tamio 6 Sei, Tomonari 5 Nishiyama, Kenta 4 Ohara, Katsuyoshi 4 Wang, Dingkang 3 Levandovskyy, Viktor 3 Nakayama, Hiromasa 3 Oaku, Toshinori 3 Sun, Yao 3 Szántó, Ágnes 2 Abbott, John A. 2 Anai, Hirokazu 2 Bigatti, Anna Maria 2 Castro-Jiménez, Francisco Jesús 2 Cheng, Jinsan 2 Goto, Yoshiaki 2 Hashiguchi, Hiroki 2 Hibi, Takayuki 2 Kanno, Masaaki 2 Kume, Alfred 2 Ma, XiaoDong 2 Martín-Morales, Jorge 2 Orange, Sébastien 2 Renault, Guénaël 2 Robbiano, Lorenzo 2 Romanovskiĭ, Valeriĭ Georgievich 2 Saji, Kentaro 2 Sato, Yosuke 2 Sattelberger, Anna-Laura 2 Shang, Baoxin 2 Suzuki, Akira 2 Zhang, Shugong 1 Abdeljaouad-Tej, I. 1 Adamer, Michael F. 1 Ando, Naoya 1 Andres, Daniel 1 Bikker, P. 1 Blanco, Guillem 1 Bley, Werner 1 Blümlein, Johannes 1 Brenner, Holger 1 Breuning, Manuel 1 Brickenstein, Michael 1 Broadhurst, David John 1 Bui, Van Chiên 1 Chardin, Marc 1 Chistov, Alexandre L. 1 Cox, David A. 1 Dahan, Xavier 1 Dang, Thinh H. 1 Decker, Wolfram 1 Diesse, Marc 1 Duchamp, Gerard Henry Edmond 1 Dukarić, Maša 1 Eder, Christian 1 Feliu, Elisenda 1 Fernandes, Wilker 1 Fouotsa, Emmanuel 1 Fujimura, Masayo 1 Galbraith, Steven D. 1 Gao, Shuhong 1 Gao, Xiaoshan 1 Gonzalez-Campos, Neila 1 Gonzalez-Vega, Laureano 1 Görlach, Paul 1 Guo, Leilei 1 Gutierrez, Jaime 1 Hara, Shinji 1 Hariri, Parisa 1 Härkönen, Marc 1 Hayakawa, Jumpei 1 Hirose, Yoshihiro 1 Horigome, Noriyuki 1 Inoue, Shutaro 1 Insua Hermo, Manuel Avelino 1 Ishihara, Yuki 1 Janovitz-Freireich, Itnuit 1 Jeffries, Jack 1 Jin, Kai 1 Jiu, Lin 1 Kaltofen, Erich L. 1 Kapur, Deepak 1 Kawazoe, Taro 1 Kodrnja, Iva 1 Komaki, Fumiyasu 1 Koutschan, Christoph 1 Kuriki, Satoshi 1 Ladra González, Manuel 1 Lauder, Alan G. B. 1 Lehn, Christian 1 Li, Zhe 1 Lőrincz, András Cristian 1 Lu, Dong 1 Marumo, Naoki ...and 69 more Authors all top 5 Cited in 48 Serials 29 Journal of Symbolic Computation 11 Mathematics in Computer Science 4 Journal of Algebra 3 Advances in Mathematics 3 Journal of Multivariate Analysis 3 Journal of Pure and Applied Algebra 3 Advances in Applied Mathematics 3 Japan Journal of Industrial and Applied Mathematics 3 Journal of Systems Science and Complexity 3 Journal of Algebra and its Applications 2 Theoretical Computer Science 2 Computational Statistics 2 Applicable Algebra in Engineering, Communication and Computing 2 Kyushu Journal of Mathematics 2 Science China. Mathematics 2 Statistics and Computing 2 Journal of the Japan Statistical Society. Japanese Issue 2 Algebraic Statistics 1 Computer Physics Communications 1 Mathematics of Computation 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Computation 1 Funkcialaj Ekvacioj. Serio Internacia 1 Hokkaido Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of the Mathematical Society of Japan 1 Journal of Optimization Theory and Applications 1 Manuscripta Mathematica 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Statistics & Probability Letters 1 International Journal of Mathematics 1 Communications in Statistics. Simulation and Computation 1 Communications in Statistics. Theory and Methods 1 International Journal of Computer Mathematics 1 Journal of Dynamics and Differential Equations 1 Experimental Mathematics 1 Journal of Mathematical Sciences (New York) 1 Finite Fields and their Applications 1 The Ramanujan Journal 1 Nonlinear Dynamics 1 Vietnam Journal of Mathematics 1 Computational Methods and Function Theory 1 Mediterranean Journal of Mathematics 1 Journal of Mathematical Cryptology 1 Open Mathematics 1 Information Geometry all top 5 Cited in 28 Fields 60 Commutative algebra (13-XX) 35 Computer science (68-XX) 29 Algebraic geometry (14-XX) 23 Several complex variables and analytic spaces (32-XX) 18 Statistics (62-XX) 12 Number theory (11-XX) 12 Special functions (33-XX) 9 Field theory and polynomials (12-XX) 9 Associative rings and algebras (16-XX) 7 Numerical analysis (65-XX) 4 Partial differential equations (35-XX) 4 Operations research, mathematical programming (90-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Differential geometry (53-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of particles and systems (70-XX) 3 Systems theory; control (93-XX) 2 Ordinary differential equations (34-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Information and communication theory, circuits (94-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Biology and other natural sciences (92-XX) Citations by Year