Edit Profile (opens in new tab) Takayama, Nobuki Co-Author Distance Author ID: takayama.nobuki Published as: Takayama, Nobuki; Takayama, N. Homepage: http://www.math.kobe-u.ac.jp/~taka/ External Links: dblp Documents Indexed: 70 Publications since 1989, including 1 Book and 6 Additional arXiv Preprints 7 Contributions as Editor Co-Authors: 67 Co-Authors with 64 Joint Publications 1,502 Co-Co-Authors all top 5 Co-Authors 13 single-authored 10 Oaku, Toshinori 8 Ohara, Katsuyoshi 6 Nakayama, Hiromasa 5 Nishiyama, Kenta 5 Saito, Mutsumi 5 Sturmfels, Bernd 5 Takemura, Akimichi 4 Castro-Jiménez, Francisco Jesús 4 Koyama, Tamio 4 Matsubara-Heo, Saiei-Jaeyeong 4 Matsumoto, Keiji 3 Noro, Masayuki 3 Sei, Tomonari 3 Yoshida, Masaaki 2 Chestnov, Vsevolod 2 Hashiguchi, Hiroki 2 Joswig, Michael 2 Kuriki, Satoshi 2 Mevissen, Martin 2 Munch, Henrik J. 2 Sasaki, Takeshi 2 Zhang, Yi 1 Bahloul, Rouchdi 1 Caruso, Xavier 1 Cohen, Arjeh Marcel 1 Danufane, Fadil Habibi 1 Fernández-Fernández, María-Cruz 1 Fukuda, Komei 1 Gao, Xiaoshan 1 Gasparotto, Federico 1 Goto, Yoshiaki 1 Granger, Michel 1 Hattori, Ryohei 1 Hibi, Takayuki 1 Iglesias, Andrés 1 Iohara, Kenji 1 Jiu, Lin 1 Koike, Kenji 1 Koike, Tatsuya 1 Kojima, Masakazu 1 Maekawa, Masahide 1 Majima, Hideyuki 1 Malbos, Philippe 1 Mandal, Manoj Kumar 1 Mano, Shuhei 1 Mastrolia, Pierpaolo 1 Mezzarobba, Marc 1 Nie, Jiawang 1 Numata, Yasuhide 1 Saito, Masa-Hiko 1 Sekiguchi, Jiro 1 Shibata, Hiroki 1 Shiga, Hironori 1 Shiraki, Yoshinao 1 Siriteanu, Constantin 1 Stillman, Michael Eugene 1 Sugiki, Yuichi 1 Tachibana, Yoshihito 1 Tamura, Yasushi 1 Tsai, Harrison 1 Tsutsui, Toru 1 Vaccon, Tristan 1 van der Hoeven, Joris 1 Verschelde, Jan 1 Walther, Uli 1 Yaguchi, Takaharu 1 Yokoyama, Kosuke all top 5 Serials 7 RIMS Kokyuroku 5 Funkcialaj Ekvacioj. Serio Internacia 5 Journal of Pure and Applied Algebra 5 Journal of Symbolic Computation 4 Journal of Multivariate Analysis 2 Tôhoku Mathematical Journal. Second Series 2 Transactions of the American Mathematical Society 2 Advances in Applied Mathematics 2 International Journal of Mathematics 2 Journal of High Energy Physics 2 Lecture Notes in Computer Science 2 Algorithms and Computation in Mathematics 1 Advances in Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal of Algebra 1 Journal of the Mathematical Society of Japan 1 Nagoya Mathematical Journal 1 Proceedings of the Japan Academy. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 Computational Statistics 1 Kyushu Journal of Mathematics 1 Journal of Mathematical Sciences. University of Tokyo 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Pacific Journal of Optimization 1 The IMA Volumes in Mathematics and its Applications 1 Algebraic Statistics all top 5 Fields 33 Special functions (33-XX) 23 Algebraic geometry (14-XX) 23 Computer science (68-XX) 20 Commutative algebra (13-XX) 14 Several complex variables and analytic spaces (32-XX) 11 Associative rings and algebras (16-XX) 10 Statistics (62-XX) 9 Numerical analysis (65-XX) 7 General and overarching topics; collections (00-XX) 7 Partial differential equations (35-XX) 4 Operations research, mathematical programming (90-XX) 2 Ordinary differential equations (34-XX) 2 Geometry (51-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 54 Publications have been cited 530 times in 324 Documents Cited by ▼ Year ▼ Gröbner deformations of hypergeometric differential equations. Zbl 0946.13021 Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki 166 2000 Algorithms for \(D\)-modules – restriction, tensor product, localization, and local cohomology groups. Zbl 0983.13008 Oaku, Toshinori; Takayama, Nobuki 40 2001 An algorithm for de Rham cohomology groups of the complement of an affine variety via \(D\)-module computation. Zbl 0960.14008 Oaku, Toshinori; Takayama, Nobuki 29 1999 Holonomic gradient descent and its application to the Fisher-Bingham integral. Zbl 1226.90137 Nakayama, Hiromasa; Nishiyama, Kenta; Noro, Masayuki; Ohara, Katsuyoshi; Sei, Tomonari; Takayama, Nobuki; Takemura, Akimichi 28 2011 The holonomic gradient method for the distribution function of the largest root of a Wishart matrix. Zbl 1282.33010 Hashiguchi, Hiroki; Numata, Yasuhide; Takayama, Nobuki; Takemura, Akimichi 27 2013 Properties and applications of Fisher distribution on the rotation group. Zbl 1283.60011 Sei, Tomonari; Shibata, Hiroki; Takemura, Akimichi; Ohara, Katsuyoshi; Takayama, Nobuki 14 2013 Quadratic relations for generalized hypergeometric functions \(_ pF_{p-1}\). Zbl 1162.33309 Ohara, Katsuyoshi; Sugiki, Yuichi; Takayama, Nobuki 13 2003 Macaulay matrix for Feynman integrals: linear relations and intersection numbers. Zbl 07647551 Chestnov, Vsevolod; Gasparotto, Federico; Mandal, Manoj K.; Mastrolia, Pierpaolo; Matsubara-Heo, Saiei J.; Munch, Henrik J.; Takayama, Nobuki 13 2022 Singularities of the hypergeometric system associated with a monomial curve. Zbl 1060.33023 Castro-Jiménez, Francisco Jesús; Takayama, Nobuki 12 2003 An approach to the zero recognition problem by Buchberger algorithm. Zbl 0763.65007 Takayama, Nobuki 12 1992 Gröbner bases and hypergeometric functions. Zbl 0918.33004 Sturmfels, Bernd; Takayama, Nobuki 11 1998 Holonomic rank of \(\mathcal A\)-hypergeometric differential-difference equations. Zbl 1257.33004 Ohara, Katsuyoshi; Takayama, Nobuki 11 2009 Hypergeometric polynomials and integer programming. Zbl 0936.90038 Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki 9 1999 The singular locus of Lauricella’s \(F_C\). Zbl 1312.33043 Hattori, Ryohei; Takayama, Nobuki 9 2014 Polynomial and rational solutions of holonomic systems. Zbl 0990.35031 Oaku, Toshinori; Takayama, Nobuki; Tsai, Harrison 8 2001 A localization algorithm for \(D\)-modules. Zbl 1012.13010 Oaku, Toshinori; Takayama, Nobuki; Walther, Uli 8 2000 Holonomic gradient descent for the Fisher-Bingham distribution on the \(d\)-dimensional sphere. Zbl 1306.65081 Koyama, Tamio; Nakayama, Hiromasa; Nishiyama, Kenta; Takayama, Nobuki 8 2014 An algorithm of computing cohomology intersection number of hypergeometric integrals. Zbl 1510.33014 Matsubara-Heo, Saiei-Jaeyeong; Takayama, Nobuki 7 2022 Pfaffian systems of \(A\)-hypergeometric equations. I: Bases of twisted cohomology groups. Zbl 1401.13079 Hibi, Takayuki; Nishiyama, Kenta; Takayama, Nobuki 7 2017 Propagation of singularities of solutions of the Euler-Darboux equation and a global structure of the space of holonomic solutions. II. Zbl 0793.35069 Takayama, Nobuki 5 1993 Monodromy of the hypergeometric differential equation of type (3,6). I. Zbl 0799.33008 Matsumoto, Keiji; Sasaki, Takeshi; Takayama, Nobuki; Yoshida, Masaaki 5 1993 Tangent cone algorithm for homogenized differential operators. Zbl 1120.32300 Granger, Michel; Oaku, Toshinori; Takayama, Nobuki 5 2005 Local Gröbner fans. Zbl 1107.13030 Bahloul, Rouchdi; Takayama, Nobuki 5 2007 An algorithm for finding recurrence relations of binomial sums and its complexity. Zbl 0849.68056 Takayama, Nobuki 5 1995 The holonomic rank of the Fisher-Bingham system of differential equations. Zbl 1295.35196 Koyama, Tamio; Nakayama, Hiromasa; Nishiyama, Kenta; Takayama, Nobuki 5 2014 Monodromy of the hypergeometric differential equation of type \((3,6)\). II: The unitary reflection group of order \(2^ 9\cdot 3^ 7\cdot 5\cdot 7\). Zbl 0810.33009 Matsumoto, Keiji; Sasaki, Takeshi; Takayama, Nobuki; Yoshida, Masaaki 4 1993 \(A\)-hypergeometric distributions and Newton polytopes. Zbl 1391.33030 Takayama, Nobuki; Kuriki, Satoshi; Takemura, Akimichi 4 2018 Minimal free resolutions of homogenized \(D\)-modules. Zbl 1028.16015 Oaku, Toshinori; Takayama, Nobuki 4 2001 Quadratic relations for confluent hypergeometric functions. Zbl 1006.33004 Majima, Hideyuki; Matsumoto, Kenji; Takayama, Nobuki 4 2000 Modified \(\mathcal A\)-hypergeometric systems. Zbl 1180.33021 Takayama, Nobuki 4 2009 Study on the family of \(K3\) surfaces induced from the lattice \((D_ 4)^ 3\oplus\langle-2\rangle\oplus\langle 2\rangle\). Zbl 1079.14518 Koike, K.; Shiga, H.; Takayama, N.; Tsutsui, T. 4 2001 Algorithms for Pfaffian systems and cohomology intersection numbers of hypergeometric integrals. Zbl 1503.33014 Matsubara-Heo, Saiei-Jaeyeong; Takayama, Nobuki 4 2020 Propagation of singularities of solutions of the Euler-Darboux equation and a global structure of the space of holonomic solutions. I. Zbl 0762.35081 Takayama, Nobuki 4 1992 Solving partial differential equations via sparse SDP relaxations. Zbl 1161.90458 Mevissen, Martin; Kojima, Masakazu; Nie, Jiawang; Takayama, Nobuki 3 2008 The design and implementation of OpenXM-RFC 100 and 101. Zbl 1010.68220 Maekawa, Masahide; Noro, Masayuki; Takayama, Nobuki; Tamura, Yasushi; Ohara, Katsuyoshi 3 2001 Algebraic algorithms for \(D\)-modules and numerical analysis. Zbl 1092.14026 Oaku, Toshinori; Shiraki, Yoshinao; Takayama, Nobuki 3 2003 Holonomic gradient method for two-way contingency tables. Zbl 1461.62231 Tachibana, Yoshihito; Goto, Yoshiaki; Koyama, Tamio; Takayama, Nobuki 3 2020 Distribution of the ratio of two Wishart matrices and cumulative probability evaluation by the holonomic gradient method. Zbl 1397.62188 Hashiguchi, Hiroki; Takayama, Nobuki; Takemura, Akimichi 3 2018 Gröbner basis for rings of differential operators and applications. Zbl 1306.13018 Takayama, Nobuki 3 2013 Restrictions of \({\mathcal A}\)-hypergeometric systems and connection formulas of the \(\Delta_ 1\times\Delta_{n-1}\)-hypergeometric function. Zbl 0807.33010 Saito, Mutsumi; Takayama, Nobuki 2 1994 Braid group and a confluent hypergeometric function. Zbl 0844.33010 Matsumoto, Keiji; Takayama, Nobuki 2 1995 Incomplete \(\mathcal A\)-hypergeometric systems. Zbl 1338.33026 Nishiyama, Kenta; Takayama, Nobuki 2 2012 Solutions of polynomial systems derived from the steady cavity flow problem (extended abstract). Zbl 1237.65052 Mevissen, Martin; Yokoyama, Kosuke; Takayama, Nobuki 1 2009 Hypergeometric polynomials and integer programming. Zbl 1075.33504 Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki 1 1997 Algebra, geometry, and software systems. Zbl 1008.00013 1 2003 Software for algebraic geometry. Papers of a workshop, Minneapolis, MN, USA, October 23–27, 2006. Zbl 1138.68008 1 2008 Computation of the expected Euler characteristic for the largest eigenvalue of a real non-central Wishart matrix. Zbl 1448.62068 Takayama, Nobuki; Jiu, Lin; Kuriki, Satoshi; Zhang, Yi 1 2020 Links to projects. Mathematical software, icms2006 – developer’s meeting. Zbl 1283.68409 Noro, Masayuki; Takayama, Nobuki 1 2006 Mathematical software – ICMS 2010. Third international congress on mathematical software, Kobe, Japan, September 13–17, 2010. Proceedings. Zbl 1196.68008 1 2010 Software packages for holonomic gradient method. Zbl 1435.65013 Koyama, Tamio; Nakayama, Hiromasa; Ohara, Katsuyoshi; Sei, Tomonari; Takayama, Nobuki 1 2014 Irregular modified \(A\)-hypergeometric systems. Zbl 1335.32005 Castro-Jiménez, Francisco-Jesús; Fernández-Fernández, María-Cruz; Koike, Tatsuya; Takayama, Nobuki 1 2015 Holonomic solution of Weisner’s operator. Zbl 0689.58003 Takayama, Nobuki 1 1989 Introduction to algorithms for \(D\)-modules with quiver \(D\)-modules. Zbl 1453.14057 Nakayama, Hiromasa; Takayama, Nobuki 1 2020 The computation of the logarithmic cohomology for plane curves. Zbl 1186.14061 Castro-Jiménez, Francisco-Jesús; Takayama, Nobuki 1 2009 Macaulay matrix for Feynman integrals: linear relations and intersection numbers. Zbl 07647551 Chestnov, Vsevolod; Gasparotto, Federico; Mandal, Manoj K.; Mastrolia, Pierpaolo; Matsubara-Heo, Saiei J.; Munch, Henrik J.; Takayama, Nobuki 13 2022 An algorithm of computing cohomology intersection number of hypergeometric integrals. Zbl 1510.33014 Matsubara-Heo, Saiei-Jaeyeong; Takayama, Nobuki 7 2022 Algorithms for Pfaffian systems and cohomology intersection numbers of hypergeometric integrals. Zbl 1503.33014 Matsubara-Heo, Saiei-Jaeyeong; Takayama, Nobuki 4 2020 Holonomic gradient method for two-way contingency tables. Zbl 1461.62231 Tachibana, Yoshihito; Goto, Yoshiaki; Koyama, Tamio; Takayama, Nobuki 3 2020 Computation of the expected Euler characteristic for the largest eigenvalue of a real non-central Wishart matrix. Zbl 1448.62068 Takayama, Nobuki; Jiu, Lin; Kuriki, Satoshi; Zhang, Yi 1 2020 Introduction to algorithms for \(D\)-modules with quiver \(D\)-modules. Zbl 1453.14057 Nakayama, Hiromasa; Takayama, Nobuki 1 2020 \(A\)-hypergeometric distributions and Newton polytopes. Zbl 1391.33030 Takayama, Nobuki; Kuriki, Satoshi; Takemura, Akimichi 4 2018 Distribution of the ratio of two Wishart matrices and cumulative probability evaluation by the holonomic gradient method. Zbl 1397.62188 Hashiguchi, Hiroki; Takayama, Nobuki; Takemura, Akimichi 3 2018 Pfaffian systems of \(A\)-hypergeometric equations. I: Bases of twisted cohomology groups. Zbl 1401.13079 Hibi, Takayuki; Nishiyama, Kenta; Takayama, Nobuki 7 2017 Irregular modified \(A\)-hypergeometric systems. Zbl 1335.32005 Castro-Jiménez, Francisco-Jesús; Fernández-Fernández, María-Cruz; Koike, Tatsuya; Takayama, Nobuki 1 2015 The singular locus of Lauricella’s \(F_C\). Zbl 1312.33043 Hattori, Ryohei; Takayama, Nobuki 9 2014 Holonomic gradient descent for the Fisher-Bingham distribution on the \(d\)-dimensional sphere. Zbl 1306.65081 Koyama, Tamio; Nakayama, Hiromasa; Nishiyama, Kenta; Takayama, Nobuki 8 2014 The holonomic rank of the Fisher-Bingham system of differential equations. Zbl 1295.35196 Koyama, Tamio; Nakayama, Hiromasa; Nishiyama, Kenta; Takayama, Nobuki 5 2014 Software packages for holonomic gradient method. Zbl 1435.65013 Koyama, Tamio; Nakayama, Hiromasa; Ohara, Katsuyoshi; Sei, Tomonari; Takayama, Nobuki 1 2014 The holonomic gradient method for the distribution function of the largest root of a Wishart matrix. Zbl 1282.33010 Hashiguchi, Hiroki; Numata, Yasuhide; Takayama, Nobuki; Takemura, Akimichi 27 2013 Properties and applications of Fisher distribution on the rotation group. Zbl 1283.60011 Sei, Tomonari; Shibata, Hiroki; Takemura, Akimichi; Ohara, Katsuyoshi; Takayama, Nobuki 14 2013 Gröbner basis for rings of differential operators and applications. Zbl 1306.13018 Takayama, Nobuki 3 2013 Incomplete \(\mathcal A\)-hypergeometric systems. Zbl 1338.33026 Nishiyama, Kenta; Takayama, Nobuki 2 2012 Holonomic gradient descent and its application to the Fisher-Bingham integral. Zbl 1226.90137 Nakayama, Hiromasa; Nishiyama, Kenta; Noro, Masayuki; Ohara, Katsuyoshi; Sei, Tomonari; Takayama, Nobuki; Takemura, Akimichi 28 2011 Mathematical software – ICMS 2010. Third international congress on mathematical software, Kobe, Japan, September 13–17, 2010. Proceedings. Zbl 1196.68008 1 2010 Holonomic rank of \(\mathcal A\)-hypergeometric differential-difference equations. Zbl 1257.33004 Ohara, Katsuyoshi; Takayama, Nobuki 11 2009 Modified \(\mathcal A\)-hypergeometric systems. Zbl 1180.33021 Takayama, Nobuki 4 2009 Solutions of polynomial systems derived from the steady cavity flow problem (extended abstract). Zbl 1237.65052 Mevissen, Martin; Yokoyama, Kosuke; Takayama, Nobuki 1 2009 The computation of the logarithmic cohomology for plane curves. Zbl 1186.14061 Castro-Jiménez, Francisco-Jesús; Takayama, Nobuki 1 2009 Solving partial differential equations via sparse SDP relaxations. Zbl 1161.90458 Mevissen, Martin; Kojima, Masakazu; Nie, Jiawang; Takayama, Nobuki 3 2008 Software for algebraic geometry. Papers of a workshop, Minneapolis, MN, USA, October 23–27, 2006. Zbl 1138.68008 1 2008 Local Gröbner fans. Zbl 1107.13030 Bahloul, Rouchdi; Takayama, Nobuki 5 2007 Links to projects. Mathematical software, icms2006 – developer’s meeting. Zbl 1283.68409 Noro, Masayuki; Takayama, Nobuki 1 2006 Tangent cone algorithm for homogenized differential operators. Zbl 1120.32300 Granger, Michel; Oaku, Toshinori; Takayama, Nobuki 5 2005 Quadratic relations for generalized hypergeometric functions \(_ pF_{p-1}\). Zbl 1162.33309 Ohara, Katsuyoshi; Sugiki, Yuichi; Takayama, Nobuki 13 2003 Singularities of the hypergeometric system associated with a monomial curve. Zbl 1060.33023 Castro-Jiménez, Francisco Jesús; Takayama, Nobuki 12 2003 Algebraic algorithms for \(D\)-modules and numerical analysis. Zbl 1092.14026 Oaku, Toshinori; Shiraki, Yoshinao; Takayama, Nobuki 3 2003 Algebra, geometry, and software systems. Zbl 1008.00013 1 2003 Algorithms for \(D\)-modules – restriction, tensor product, localization, and local cohomology groups. Zbl 0983.13008 Oaku, Toshinori; Takayama, Nobuki 40 2001 Polynomial and rational solutions of holonomic systems. Zbl 0990.35031 Oaku, Toshinori; Takayama, Nobuki; Tsai, Harrison 8 2001 Minimal free resolutions of homogenized \(D\)-modules. Zbl 1028.16015 Oaku, Toshinori; Takayama, Nobuki 4 2001 Study on the family of \(K3\) surfaces induced from the lattice \((D_ 4)^ 3\oplus\langle-2\rangle\oplus\langle 2\rangle\). Zbl 1079.14518 Koike, K.; Shiga, H.; Takayama, N.; Tsutsui, T. 4 2001 The design and implementation of OpenXM-RFC 100 and 101. Zbl 1010.68220 Maekawa, Masahide; Noro, Masayuki; Takayama, Nobuki; Tamura, Yasushi; Ohara, Katsuyoshi 3 2001 Gröbner deformations of hypergeometric differential equations. Zbl 0946.13021 Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki 166 2000 A localization algorithm for \(D\)-modules. Zbl 1012.13010 Oaku, Toshinori; Takayama, Nobuki; Walther, Uli 8 2000 Quadratic relations for confluent hypergeometric functions. Zbl 1006.33004 Majima, Hideyuki; Matsumoto, Kenji; Takayama, Nobuki 4 2000 An algorithm for de Rham cohomology groups of the complement of an affine variety via \(D\)-module computation. Zbl 0960.14008 Oaku, Toshinori; Takayama, Nobuki 29 1999 Hypergeometric polynomials and integer programming. Zbl 0936.90038 Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki 9 1999 Gröbner bases and hypergeometric functions. Zbl 0918.33004 Sturmfels, Bernd; Takayama, Nobuki 11 1998 Hypergeometric polynomials and integer programming. Zbl 1075.33504 Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki 1 1997 An algorithm for finding recurrence relations of binomial sums and its complexity. Zbl 0849.68056 Takayama, Nobuki 5 1995 Braid group and a confluent hypergeometric function. Zbl 0844.33010 Matsumoto, Keiji; Takayama, Nobuki 2 1995 Restrictions of \({\mathcal A}\)-hypergeometric systems and connection formulas of the \(\Delta_ 1\times\Delta_{n-1}\)-hypergeometric function. Zbl 0807.33010 Saito, Mutsumi; Takayama, Nobuki 2 1994 Propagation of singularities of solutions of the Euler-Darboux equation and a global structure of the space of holonomic solutions. II. Zbl 0793.35069 Takayama, Nobuki 5 1993 Monodromy of the hypergeometric differential equation of type (3,6). I. Zbl 0799.33008 Matsumoto, Keiji; Sasaki, Takeshi; Takayama, Nobuki; Yoshida, Masaaki 5 1993 Monodromy of the hypergeometric differential equation of type \((3,6)\). II: The unitary reflection group of order \(2^ 9\cdot 3^ 7\cdot 5\cdot 7\). Zbl 0810.33009 Matsumoto, Keiji; Sasaki, Takeshi; Takayama, Nobuki; Yoshida, Masaaki 4 1993 An approach to the zero recognition problem by Buchberger algorithm. Zbl 0763.65007 Takayama, Nobuki 12 1992 Propagation of singularities of solutions of the Euler-Darboux equation and a global structure of the space of holonomic solutions. I. Zbl 0762.35081 Takayama, Nobuki 4 1992 Holonomic solution of Weisner’s operator. Zbl 0689.58003 Takayama, Nobuki 1 1989 all cited Publications top 5 cited Publications all top 5 Cited by 363 Authors 32 Takayama, Nobuki 22 Walther, Uli 16 Matusevich, Laura Felicia 15 Oaku, Toshinori 10 Castro-Jiménez, Francisco Jesús 10 Fernández-Fernández, María-Cruz 9 Matsubara-Heo, Saiei-Jaeyeong 9 Takemura, Akimichi 8 Berkesch Zamaere, Christine 8 Dickenstein, Alicia M. 8 Ohara, Katsuyoshi 8 Sei, Tomonari 8 Sturmfels, Bernd 7 Saito, Mutsumi 6 Hashiguchi, Hiroki 6 Koyama, Tamio 6 Nakayama, Hiromasa 6 Nishiyama, Kenta 5 Goto, Yoshiaki 5 Matsumoto, Keiji 5 Noro, Masayuki 5 Reichelt, Thomas 5 Tajima, Shinichi 5 Ucha-Enríquez, José María 4 Adolphson, Alan 4 Bahloul, Rouchdi 4 Bytev, Vladimir V. 4 Cattani, Eduardo H. 4 Clingher, Adrian 4 Forsgård, Jens 4 Gasparotto, Federico 4 Kniehl, Bernd A. 4 Levandovskyy, Viktor 4 Malmendier, Andreas 4 Mastrolia, Pierpaolo 4 Miller, Ezra 4 Mimachi, Katsuhisa 4 Mizera, Sebastian 4 Nagar, Daya K. 4 Sevenheck, Christian 4 Sperber, Steven I. 4 Takeuchi, Kiyoshi 4 Tsai, Harrison 3 Àlvarez Montaner, Josep 3 Chestnov, Vsevolod 3 Hartillo-Hermoso, María Isabel 3 Kalmykov, Mikhail Yu. 3 Klausen, René Pascal 3 Kuriki, Satoshi 3 Leykin, Anton 3 Malbos, Philippe 3 Mandal, Manoj Kumar 3 Sattelberger, Anna-Laura 3 Shimizu, Koki 2 Abebaw, Tilahun 2 Arcadias, Rémi 2 Aroca, Fuensanta 2 Beukers, Frits 2 Bøgvad, Rikard 2 Borisov, Lev A. 2 Budur, Nero 2 Chen, Shaoshi 2 Chyzak, Frédéric 2 Cobo Pablos, Helena 2 de la Cruz, Leonardo R. 2 Dlapa, Christoph 2 Duhr, Claude 2 Esterov, Alexander I. 2 Feng, Tai-Fu 2 Frellesvig, Hjalte 2 Granger, Michel 2 Gupta, Arjun Kumar 2 Haraoka, Yoshishige 2 Härkönen, Marc 2 Helmer, Martin 2 Horja, Richard Paul 2 Hoşten, Serkan 2 Jeon, Jeong Min 2 Jiu, Lin 2 Kita, Michitake 2 Koutschan, Christoph 2 Kume, Alfred 2 Lairez, Pierre 2 Li, Dongmei 2 Li, Ziming 2 Liu, Jinwang 2 Liu, Weijun 2 Lőrincz, András Cristian 2 Maclagan, Diane 2 Markwig, Thomas 2 Martín-Morales, Jorge 2 Moch, Sven-Olaf 2 Munch, Henrik J. 2 Nabeshima, Katsusuke 2 Nadarajah, Saralees 2 Okuyama, Go 2 Passare, Mikael 2 Pokraka, Andrzej 2 Ren, Yue 2 Sadykov, Timur Mradovich ...and 263 more Authors all top 5 Cited in 106 Serials 41 Journal of Symbolic Computation 23 Journal of High Energy Physics 18 Journal of Pure and Applied Algebra 12 Advances in Mathematics 10 Journal of Algebra 10 Transactions of the American Mathematical Society 8 Tôhoku Mathematical Journal. Second Series 7 Journal of Multivariate Analysis 6 Communications in Algebra 5 Duke Mathematical Journal 5 Proceedings of the American Mathematical Society 5 Advances in Applied Mathematics 5 Mathematics in Computer Science 4 Communications in Mathematical Physics 4 Computer Physics Communications 4 Mathematische Annalen 4 Mathematische Zeitschrift 4 Nagoya Mathematical Journal 4 Revista Matemática Iberoamericana 4 Japan Journal of Industrial and Applied Mathematics 4 Communications in Statistics. Theory and Methods 4 Kyushu Journal of Mathematics 3 Nuclear Physics. B 3 Beiträge zur Algebra und Geometrie 3 Journal of the Mathematical Society of Japan 3 Proceedings of the Japan Academy. Series A 3 International Journal of Mathematics 3 Journal of the Japan Statistical Society. Japanese Issue 2 Letters in Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 Mathematics of Computation 2 Annales de l’Institut Fourier 2 Collectanea Mathematica 2 Journal of Computational and Applied Mathematics 2 Journal of the London Mathematical Society. Second Series 2 Journal of Complexity 2 Computational Statistics 2 Communications in Statistics. Simulation and Computation 2 Mathematical Programming. Series A. Series B 2 Indagationes Mathematicae. New Series 2 Applicable Algebra in Engineering, Communication and Computing 2 Journal of Algebraic Combinatorics 2 Journal of Algebraic Geometry 2 Selecta Mathematica. New Series 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Contemporary Mathematics 2 Integers 2 Foundations of Computational Mathematics 2 Journal of Commutative Algebra 2 Statistics and Computing 2 Information Geometry 2 Algebraic Statistics 1 The Canadian Journal of Statistics 1 Computers & Mathematics with Applications 1 Discrete Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Arkiv för Matematik 1 American Journal of Mathematics 1 Annals of the Institute of Statistical Mathematics 1 The Annals of Statistics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Bulletin of the London Mathematical Society 1 Functiones et Approximatio. Commentarii Mathematici 1 Funkcialaj Ekvacioj. Serio Internacia 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Michigan Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Topology and its Applications 1 Statistics & Probability Letters 1 Journal of the American Mathematical Society 1 The Journal of Geometric Analysis 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 SIAM Journal on Optimization 1 Applied Mathematics. Series B (English Edition) 1 Journal of Mathematical Sciences (New York) 1 Finite Fields and their Applications 1 Integral Transforms and Special Functions 1 Bernoulli 1 Mathematical Problems in Engineering 1 The Ramanujan Journal 1 Annals of Combinatorics 1 Lobachevskii Journal of Mathematics 1 Annales Henri Poincaré 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Frontiers of Mathematics in China 1 Journal of Probability and Statistics 1 Random Matrices: Theory and Applications 1 Numerical Algebra, Control and Optimization ...and 6 more Serials all top 5 Cited in 44 Fields 119 Algebraic geometry (14-XX) 113 Special functions (33-XX) 95 Commutative algebra (13-XX) 91 Several complex variables and analytic spaces (32-XX) 52 Associative rings and algebras (16-XX) 45 Computer science (68-XX) 39 Statistics (62-XX) 33 Quantum theory (81-XX) 26 Partial differential equations (35-XX) 14 Ordinary differential equations (34-XX) 13 Convex and discrete geometry (52-XX) 10 Combinatorics (05-XX) 10 Operations research, mathematical programming (90-XX) 9 Number theory (11-XX) 9 Field theory and polynomials (12-XX) 7 Probability theory and stochastic processes (60-XX) 7 Numerical analysis (65-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Group theory and generalizations (20-XX) 4 Operator theory (47-XX) 4 Algebraic topology (55-XX) 4 Relativity and gravitational theory (83-XX) 3 Mathematical logic and foundations (03-XX) 3 Abstract harmonic analysis (43-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Difference and functional equations (39-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year