Edit Profile (opens in new tab) Takayama, Nobuki Compute Distance To: Compute Author ID: takayama.nobuki Published as: Takayama, Nobuki; Takayama, N. Homepage: http://www.math.kobe-u.ac.jp/~taka/ External Links: dblp Documents Indexed: 63 Publications since 1989, including 1 Book 7 Contributions as Editor Co-Authors: 57 Co-Authors with 57 Joint Publications 1,415 Co-Co-Authors all top 5 Co-Authors 12 single-authored 10 Oaku, Toshinori 6 Nakayama, Hiromasa 6 Ohara, Katsuyoshi 5 Nishiyama, Kenta 5 Saito, Mutsumi 5 Sturmfels, Bernd 5 Takemura, Akimichi 4 Castro-Jiménez, Francisco Jesús 4 Koyama, Tamio 4 Matsumoto, Keiji 3 Matsubara-Heo, Saiei-Jaeyeong 3 Noro, Masayuki 3 Sei, Tomonari 3 Yoshida, Masaaki 2 Hashiguchi, Hiroki 2 Joswig, Michael 2 Kuriki, Satoshi 2 Mevissen, Martin 2 Sasaki, Takeshi 1 Bahloul, Rouchdi 1 Chestnov, Vsevolod 1 Cohen, Arjeh Marcel 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, Tatsuya 1 Kojima, Masakazu 1 Maekawa, Masahide 1 Majima, Hideyuki 1 Malbos, Philippe 1 Mandal, Manoj K. 1 Mastrolia, Pierpaolo 1 Munch, Henrik J. 1 Nie, Jiawang 1 Numata, Yasuhide 1 Saito, Masa-Hiko 1 Sekiguchi, Jiro 1 Shibata, Hiroki 1 Shiraki, Yoshinao 1 Stillman, Michael Eugene 1 Sugiki, Yuichi 1 Tachibana, Yoshihito 1 Tamura, Yasushi 1 Tsai, Harrison 1 van der Hoeven, Joris 1 Verschelde, Jan 1 Walther, Uli 1 Yokoyama, Kosuke 1 Zhang, Yi 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 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 Journal of High Energy Physics 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 Computer science (68-XX) 22 Algebraic geometry (14-XX) 20 Commutative algebra (13-XX) 13 Several complex variables and analytic spaces (32-XX) 11 Associative rings and algebras (16-XX) 9 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) 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) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 51 Publications have been cited 425 times in 264 Documents Cited by ▼ Year ▼ Gröbner deformations of hypergeometric differential equations. Zbl 0946.13021Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki 122 2000 Algorithms for \(D\)-modules – restriction, tensor product, localization, and local cohomology groups. Zbl 0983.13008Oaku, Toshinori; Takayama, Nobuki 35 2001 An algorithm for de Rham cohomology groups of the complement of an affine variety via \(D\)-module computation. Zbl 0960.14008Oaku, Toshinori; Takayama, Nobuki 27 1999 The holonomic gradient method for the distribution function of the largest root of a Wishart matrix. Zbl 1282.33010Hashiguchi, Hiroki; Numata, Yasuhide; Takayama, Nobuki; Takemura, Akimichi 24 2013 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 23 2011 An approach to the zero recognition problem by Buchberger algorithm. Zbl 0763.65007Takayama, Nobuki 12 1992 Singularities of the hypergeometric system associated with a monomial curve. Zbl 1060.33023Castro-Jiménez, Francisco Jesús; Takayama, Nobuki 12 2003 Properties and applications of Fisher distribution on the rotation group. Zbl 1283.60011Sei, Tomonari; Shibata, Hiroki; Takemura, Akimichi; Ohara, Katsuyoshi; Takayama, Nobuki 12 2013 Quadratic relations for generalized hypergeometric functions \(_ pF_{p-1}\). Zbl 1162.33309Ohara, Katsuyoshi; Sugiki, Yuichi; Takayama, Nobuki 11 2003 Holonomic rank of \(\mathcal A\)-hypergeometric differential-difference equations. Zbl 1257.33004Ohara, Katsuyoshi; Takayama, Nobuki 10 2009 Gröbner bases and hypergeometric functions. Zbl 0918.33004Sturmfels, Bernd; Takayama, Nobuki 10 1998 Hypergeometric polynomials and integer programming. Zbl 0936.90038Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki 9 1999 Holonomic gradient descent for the Fisher-Bingham distribution on the \(d\)-dimensional sphere. Zbl 1306.65081Koyama, Tamio; Nakayama, Hiromasa; Nishiyama, Kenta; Takayama, Nobuki 8 2014 Polynomial and rational solutions of holonomic systems. Zbl 0990.35031Oaku, Toshinori; Takayama, Nobuki; Tsai, Harrison 8 2001 A localization algorithm for \(D\)-modules. Zbl 1012.13010Oaku, Toshinori; Takayama, Nobuki; Walther, Uli 7 2000 The singular locus of Lauricella’s \(F_C\). Zbl 1312.33043Hattori, Ryohei; Takayama, Nobuki 6 2014 Tangent cone algorithm for homogenized differential operators. Zbl 1120.32300Granger, Michel; Oaku, Toshinori; Takayama, Nobuki 5 2005 Propagation of singularities of solutions of the Euler-Darboux equation and a global structure of the space of holonomic solutions. II. Zbl 0793.35069Takayama, Nobuki 5 1993 Monodromy of the hypergeometric differential equation of type (3,6). I. Zbl 0799.33008Matsumoto, Keiji; Sasaki, Takeshi; Takayama, Nobuki; Yoshida, Masaaki 5 1993 An algorithm for finding recurrence relations of binomial sums and its complexity. Zbl 0849.68056Takayama, Nobuki 5 1995 The holonomic rank of the Fisher-Bingham system of differential equations. Zbl 1295.35196Koyama, Tamio; Nakayama, Hiromasa; Nishiyama, Kenta; Takayama, Nobuki 5 2014 Pfaffian systems of \(A\)-hypergeometric equations. I: Bases of twisted cohomology groups. Zbl 1401.13079Hibi, Takayuki; Nishiyama, Kenta; Takayama, Nobuki 5 2017 Modified \(\mathcal A\)-hypergeometric systems. Zbl 1180.33021Takayama, Nobuki 4 2009 Minimal free resolutions of homogenized \(D\)-modules. Zbl 1028.16015Oaku, Toshinori; Takayama, Nobuki 4 2001 Propagation of singularities of solutions of the Euler-Darboux equation and a global structure of the space of holonomic solutions. I. Zbl 0762.35081Takayama, Nobuki 3 1992 The design and implementation of OpenXM-RFC 100 and 101. Zbl 1010.68220Maekawa, Masahide; Noro, Masayuki; Takayama, Nobuki; Tamura, Yasushi; Ohara, Katsuyoshi 3 2001 Study on the family of \(K3\) surfaces induced from the lattice \((D_ 4)^ 3\oplus\langle-2\rangle\oplus\langle 2\rangle\). Zbl 1079.14518Koike, K.; Shiga, H.; Takayama, N.; Tsutsui, T. 3 2001 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 0810.33009Matsumoto, Keiji; Sasaki, Takeshi; Takayama, Nobuki; Yoshida, Masaaki 3 1993 Quadratic relations for confluent hypergeometric functions. Zbl 1006.33004Majima, Hideyuki; Matsumoto, Kenji; Takayama, Nobuki 3 2000 Algebraic algorithms for \(D\)-modules and numerical analysis. Zbl 1092.14026Oaku, Toshinori; Shiraki, Yoshinao; Takayama, Nobuki 3 2003 Local Gröbner fans. Zbl 1107.13030Bahloul, Rouchdi; Takayama, Nobuki 3 2007 Gröbner basis for rings of differential operators and applications. Zbl 1306.13018Takayama, Nobuki 3 2013 Solving partial differential equations via sparse SDP relaxations. Zbl 1161.90458Mevissen, Martin; Kojima, Masakazu; Nie, Jiawang; Takayama, Nobuki 3 2008 An algorithm of computing cohomology intersection number of hypergeometric integrals. Zbl 07531013Matsubara-Heo, Saiei-Jaeyeong; Takayama, Nobuki 2 2022 Restrictions of \({\mathcal A}\)-hypergeometric systems and connection formulas of the \(\Delta_ 1\times\Delta_{n-1}\)-hypergeometric function. Zbl 0807.33010Saito, Mutsumi; Takayama, Nobuki 2 1994 Braid group and a confluent hypergeometric function. Zbl 0844.33010Matsumoto, Keiji; Takayama, Nobuki 2 1995 Distribution of the ratio of two Wishart matrices and cumulative probability evaluation by the holonomic gradient method. Zbl 1397.62188Hashiguchi, Hiroki; Takayama, Nobuki; Takemura, Akimichi 2 2018 \(A\)-hypergeometric distributions and Newton polytopes. Zbl 1391.33030Takayama, Nobuki; Kuriki, Satoshi; Takemura, Akimichi 2 2018 Incomplete \(\mathcal A\)-hypergeometric systems. Zbl 1338.33026Nishiyama, Kenta; Takayama, Nobuki 2 2012 Holonomic gradient method for two-way contingency tables. Zbl 1461.62231Tachibana, Yoshihito; Goto, Yoshiaki; Koyama, Tamio; Takayama, Nobuki 1 2020 Algebra, geometry, and software systems. Zbl 1008.00013 1 2003 Links to projects. Mathematical software, icms2006 – developer’s meeting. Zbl 1283.68409Noro, Masayuki; Takayama, Nobuki 1 2006 Holonomic solution of Weisner’s operator. Zbl 0689.58003Takayama, Nobuki 1 1989 Computation of the expected Euler characteristic for the largest eigenvalue of a real non-central Wishart matrix. Zbl 1448.62068Takayama, Nobuki; Jiu, Lin; Kuriki, Satoshi; Zhang, Yi 1 2020 Hypergeometric polynomials and integer programming. Zbl 1075.33504Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki 1 1997 Software packages for holonomic gradient method. Zbl 1435.65013Koyama, Tamio; Nakayama, Hiromasa; Ohara, Katsuyoshi; Sei, Tomonari; Takayama, Nobuki 1 2014 Irregular modified \(A\)-hypergeometric systems. Zbl 1335.32005Castro-Jiménez, Francisco-Jesús; Fernández-Fernández, María-Cruz; Koike, Tatsuya; Takayama, Nobuki 1 2015 The computation of the logarithmic cohomology for plane curves. Zbl 1186.14061Castro-Jiménez, Francisco-Jesús; Takayama, Nobuki 1 2009 Software for algebraic geometry. Papers of a workshop, Minneapolis, MN, USA, October 23–27, 2006. Zbl 1138.68008 1 2008 Solutions of polynomial systems derived from the steady cavity flow problem (extended abstract). Zbl 1237.65052Mevissen, Martin; Yokoyama, Kosuke; Takayama, Nobuki 1 2009 Algorithms for Pfaffian systems and cohomology intersection numbers of hypergeometric integrals. Zbl 07600879Matsubara-Heo, Saiei-Jaeyeong; Takayama, Nobuki 1 2020 An algorithm of computing cohomology intersection number of hypergeometric integrals. Zbl 07531013Matsubara-Heo, Saiei-Jaeyeong; Takayama, Nobuki 2 2022 Holonomic gradient method for two-way contingency tables. Zbl 1461.62231Tachibana, Yoshihito; Goto, Yoshiaki; Koyama, Tamio; Takayama, Nobuki 1 2020 Computation of the expected Euler characteristic for the largest eigenvalue of a real non-central Wishart matrix. Zbl 1448.62068Takayama, Nobuki; Jiu, Lin; Kuriki, Satoshi; Zhang, Yi 1 2020 Algorithms for Pfaffian systems and cohomology intersection numbers of hypergeometric integrals. Zbl 07600879Matsubara-Heo, Saiei-Jaeyeong; Takayama, Nobuki 1 2020 Distribution of the ratio of two Wishart matrices and cumulative probability evaluation by the holonomic gradient method. Zbl 1397.62188Hashiguchi, Hiroki; Takayama, Nobuki; Takemura, Akimichi 2 2018 \(A\)-hypergeometric distributions and Newton polytopes. Zbl 1391.33030Takayama, Nobuki; Kuriki, Satoshi; Takemura, Akimichi 2 2018 Pfaffian systems of \(A\)-hypergeometric equations. I: Bases of twisted cohomology groups. Zbl 1401.13079Hibi, Takayuki; Nishiyama, Kenta; Takayama, Nobuki 5 2017 Irregular modified \(A\)-hypergeometric systems. Zbl 1335.32005Castro-Jiménez, Francisco-Jesús; Fernández-Fernández, María-Cruz; Koike, Tatsuya; Takayama, Nobuki 1 2015 Holonomic gradient descent for the Fisher-Bingham distribution on the \(d\)-dimensional sphere. Zbl 1306.65081Koyama, Tamio; Nakayama, Hiromasa; Nishiyama, Kenta; Takayama, Nobuki 8 2014 The singular locus of Lauricella’s \(F_C\). Zbl 1312.33043Hattori, Ryohei; Takayama, Nobuki 6 2014 The holonomic rank of the Fisher-Bingham system of differential equations. Zbl 1295.35196Koyama, Tamio; Nakayama, Hiromasa; Nishiyama, Kenta; Takayama, Nobuki 5 2014 Software packages for holonomic gradient method. Zbl 1435.65013Koyama, 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 1282.33010Hashiguchi, Hiroki; Numata, Yasuhide; Takayama, Nobuki; Takemura, Akimichi 24 2013 Properties and applications of Fisher distribution on the rotation group. Zbl 1283.60011Sei, Tomonari; Shibata, Hiroki; Takemura, Akimichi; Ohara, Katsuyoshi; Takayama, Nobuki 12 2013 Gröbner basis for rings of differential operators and applications. Zbl 1306.13018Takayama, Nobuki 3 2013 Incomplete \(\mathcal A\)-hypergeometric systems. Zbl 1338.33026Nishiyama, Kenta; Takayama, Nobuki 2 2012 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 23 2011 Holonomic rank of \(\mathcal A\)-hypergeometric differential-difference equations. Zbl 1257.33004Ohara, Katsuyoshi; Takayama, Nobuki 10 2009 Modified \(\mathcal A\)-hypergeometric systems. Zbl 1180.33021Takayama, Nobuki 4 2009 The computation of the logarithmic cohomology for plane curves. Zbl 1186.14061Castro-Jiménez, Francisco-Jesús; Takayama, Nobuki 1 2009 Solutions of polynomial systems derived from the steady cavity flow problem (extended abstract). Zbl 1237.65052Mevissen, Martin; Yokoyama, Kosuke; Takayama, Nobuki 1 2009 Solving partial differential equations via sparse SDP relaxations. Zbl 1161.90458Mevissen, 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 1107.13030Bahloul, Rouchdi; Takayama, Nobuki 3 2007 Links to projects. Mathematical software, icms2006 – developer’s meeting. Zbl 1283.68409Noro, Masayuki; Takayama, Nobuki 1 2006 Tangent cone algorithm for homogenized differential operators. Zbl 1120.32300Granger, Michel; Oaku, Toshinori; Takayama, Nobuki 5 2005 Singularities of the hypergeometric system associated with a monomial curve. Zbl 1060.33023Castro-Jiménez, Francisco Jesús; Takayama, Nobuki 12 2003 Quadratic relations for generalized hypergeometric functions \(_ pF_{p-1}\). Zbl 1162.33309Ohara, Katsuyoshi; Sugiki, Yuichi; Takayama, Nobuki 11 2003 Algebraic algorithms for \(D\)-modules and numerical analysis. Zbl 1092.14026Oaku, 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 0983.13008Oaku, Toshinori; Takayama, Nobuki 35 2001 Polynomial and rational solutions of holonomic systems. Zbl 0990.35031Oaku, Toshinori; Takayama, Nobuki; Tsai, Harrison 8 2001 Minimal free resolutions of homogenized \(D\)-modules. Zbl 1028.16015Oaku, Toshinori; Takayama, Nobuki 4 2001 The design and implementation of OpenXM-RFC 100 and 101. Zbl 1010.68220Maekawa, Masahide; Noro, Masayuki; Takayama, Nobuki; Tamura, Yasushi; Ohara, Katsuyoshi 3 2001 Study on the family of \(K3\) surfaces induced from the lattice \((D_ 4)^ 3\oplus\langle-2\rangle\oplus\langle 2\rangle\). Zbl 1079.14518Koike, K.; Shiga, H.; Takayama, N.; Tsutsui, T. 3 2001 Gröbner deformations of hypergeometric differential equations. Zbl 0946.13021Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki 122 2000 A localization algorithm for \(D\)-modules. Zbl 1012.13010Oaku, Toshinori; Takayama, Nobuki; Walther, Uli 7 2000 Quadratic relations for confluent hypergeometric functions. Zbl 1006.33004Majima, Hideyuki; Matsumoto, Kenji; Takayama, Nobuki 3 2000 An algorithm for de Rham cohomology groups of the complement of an affine variety via \(D\)-module computation. Zbl 0960.14008Oaku, Toshinori; Takayama, Nobuki 27 1999 Hypergeometric polynomials and integer programming. Zbl 0936.90038Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki 9 1999 Gröbner bases and hypergeometric functions. Zbl 0918.33004Sturmfels, Bernd; Takayama, Nobuki 10 1998 Hypergeometric polynomials and integer programming. Zbl 1075.33504Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki 1 1997 An algorithm for finding recurrence relations of binomial sums and its complexity. Zbl 0849.68056Takayama, Nobuki 5 1995 Braid group and a confluent hypergeometric function. Zbl 0844.33010Matsumoto, 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 0807.33010Saito, 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 0793.35069Takayama, Nobuki 5 1993 Monodromy of the hypergeometric differential equation of type (3,6). I. Zbl 0799.33008Matsumoto, 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 0810.33009Matsumoto, Keiji; Sasaki, Takeshi; Takayama, Nobuki; Yoshida, Masaaki 3 1993 An approach to the zero recognition problem by Buchberger algorithm. Zbl 0763.65007Takayama, 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 0762.35081Takayama, Nobuki 3 1992 Holonomic solution of Weisner’s operator. Zbl 0689.58003Takayama, Nobuki 1 1989 all cited Publications top 5 cited Publications all top 5 Cited by 289 Authors 31 Takayama, Nobuki 21 Walther, Uli 15 Matusevich, Laura Felicia 15 Oaku, Toshinori 9 Castro-Jiménez, Francisco Jesús 9 Takemura, Akimichi 8 Fernández-Fernández, María-Cruz 7 Berkesch Zamaere, Christine 7 Dickenstein, Alicia M. 7 Matsubara-Heo, Saiei-Jaeyeong 7 Ohara, Katsuyoshi 6 Koyama, Tamio 6 Nakayama, Hiromasa 6 Nishiyama, Kenta 6 Saito, Mutsumi 6 Sei, Tomonari 6 Sturmfels, Bernd 5 Noro, Masayuki 5 Reichelt, Thomas 4 Bahloul, Rouchdi 4 Forsgård, Jens 4 Goto, Yoshiaki 4 Hashiguchi, Hiroki 4 Kniehl, Bernd A. 4 Levandovskyy, Viktor 4 Matsumoto, Keiji 4 Miller, Ezra 4 Mimachi, Katsuhisa 4 Mizera, Sebastian 4 Sevenheck, Christian 4 Tajima, Shinichi 4 Tsai, Harrison 4 Ucha-Enríquez, José María 3 Adolphson, Alan 3 Bytev, Vladimir V. 3 Cattani, Eduardo H. 3 Clingher, Adrian 3 Hartillo-Hermoso, María Isabel 3 Klausen, René Pascal 3 Kuriki, Satoshi 3 Malbos, Philippe 3 Malmendier, Andreas 3 Mastrolia, Pierpaolo 3 Sperber, Steven I. 2 Abebaw, Tilahun 2 Arcadias, Rémi 2 Bøgvad, Rikard 2 Borisov, Lev A. 2 Budur, Nero 2 Chen, Shaoshi 2 Chyzak, Frédéric 2 Gasparotto, Federico 2 Granger, Michel 2 Gupta, Arjun Kumar 2 Haraoka, Yoshishige 2 Horja, Richard Paul 2 Jiu, Lin 2 Kalmykov, Mikhail Yu. 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 Mandal, Manoj K. 2 Markwig, Thomas 2 Martín-Morales, Jorge 2 Nadarajah, Saralees 2 Nagar, Daya K. 2 Passare, Mikael 2 Ren, Yue 2 Sadykov, Timur Mradovich 2 Salvy, Bruno 2 Sasaki, Takeshi 2 Sattelberger, Anna-Laura 2 Scheiblechner, Peter 2 Schulze, Mathias 2 Schwarz, Fritz 2 Seiler, Werner M. 2 Takeuchi, Kiyoshi 2 Tveiten, Ketil 2 Vidunas, Raimundas 2 Yoshida, Masaaki 1 Adamer, Michael F. 1 Adler, Vsevolod Eduardovich 1 Àlvarez Montaner, Josep 1 Ando, Kana 1 Andres, Daniel 1 Aomoto, Kazuhiko 1 Arashi, Mohammad 1 Aroca, Fuensanta 1 Artamonov, Dmitry V. 1 Auerbach, Ruth L. 1 Banerjee, Arunava 1 Barkatou, Moulay A. 1 Bath, Daniel 1 Bentrad, Ali 1 Beukers, Frits ...and 189 more Authors all top 5 Cited in 94 Serials 38 Journal of Symbolic Computation 14 Journal of Pure and Applied Algebra 12 Advances in Mathematics 11 Journal of High Energy Physics 10 Journal of Algebra 10 Transactions of the American Mathematical Society 7 Journal of Multivariate Analysis 7 Tôhoku Mathematical Journal. Second Series 5 Communications in Algebra 5 Duke Mathematical Journal 5 Proceedings of the American Mathematical Society 5 Mathematics in Computer Science 4 Mathematische Zeitschrift 4 Advances in Applied Mathematics 4 Revista Matemática Iberoamericana 4 Japan Journal of Industrial and Applied Mathematics 4 Kyushu Journal of Mathematics 3 Communications in Mathematical Physics 3 Mathematische Annalen 3 Proceedings of the Japan Academy. Series A 2 Computer Physics Communications 2 Letters in Mathematical Physics 2 Nuclear Physics. B 2 Rocky Mountain Journal of Mathematics 2 Mathematics of Computation 2 Beiträge zur Algebra und Geometrie 2 Annales de l’Institut Fourier 2 Collectanea Mathematica 2 Journal of Computational and Applied Mathematics 2 Journal of the Mathematical Society of Japan 2 Nagoya Mathematical Journal 2 International Journal of Mathematics 2 Computational Statistics 2 Communications in Statistics. Theory and Methods 2 Mathematical Programming. Series A. Series B 2 Journal of Algebraic Geometry 2 Journal of the European Mathematical Society (JEMS) 2 Foundations of Computational Mathematics 2 Journal of Commutative Algebra 2 Statistics and Computing 2 Journal of the Japan Statistical Society. Japanese Issue 2 Algebraic Statistics 1 Computers & Mathematics with Applications 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 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Functiones et Approximatio. Commentarii Mathematici 1 Funkcialaj Ekvacioj. Serio Internacia 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 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 Complexity 1 Journal of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Communications in Statistics. Simulation and Computation 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Indagationes Mathematicae. New Series 1 Applicable Algebra in Engineering, Communication and Computing 1 SIAM Journal on Optimization 1 Journal of Algebraic Combinatorics 1 Applied Mathematics. Series B (English Edition) 1 Journal of Mathematical Sciences (New York) 1 Finite Fields and their Applications 1 Selecta Mathematica. New Series 1 Integral Transforms and Special Functions 1 Bernoulli 1 The Ramanujan Journal 1 Annals of Combinatorics 1 Communications in Contemporary Mathematics 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 Bayesian Analysis 1 Research in the Mathematical Sciences 1 Journal of Siberian Federal University. Mathematics & Physics 1 Japanese Journal of Statistics and Data Science 1 Information Geometry 1 Portugaliae Mathematica all top 5 Cited in 39 Fields 100 Algebraic geometry (14-XX) 100 Special functions (33-XX) 81 Several complex variables and analytic spaces (32-XX) 78 Commutative algebra (13-XX) 44 Associative rings and algebras (16-XX) 41 Computer science (68-XX) 30 Statistics (62-XX) 24 Partial differential equations (35-XX) 18 Quantum theory (81-XX) 14 Ordinary differential equations (34-XX) 9 Convex and discrete geometry (52-XX) 9 Numerical analysis (65-XX) 8 Combinatorics (05-XX) 8 Field theory and polynomials (12-XX) 7 Probability theory and stochastic processes (60-XX) 7 Operations research, mathematical programming (90-XX) 5 Number theory (11-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Relativity and gravitational theory (83-XX) 3 Mathematical logic and foundations (03-XX) 3 Group theory and generalizations (20-XX) 3 Operator theory (47-XX) 3 Algebraic topology (55-XX) 2 Topological groups, Lie groups (22-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-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 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