## Saito, Mutsumi

Compute Distance To:
 Author ID: saito.mutsumi Published as: Saito, Mutsumi
 Documents Indexed: 27 Publications since 1972, including 1 Book 1 Contribution as Editor Co-Authors: 7 Co-Authors with 10 Joint Publications 311 Co-Co-Authors
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### Co-Authors

 18 single-authored 5 Takayama, Nobuki 4 Sturmfels, Bernd 2 Traves, William N. 1 Nakashima, Norihiro 1 Okuyama, Go 1 Takahashi, Ken 1 Takeda, Hiroyasu
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### Serials

 3 Compositio Mathematica 3 Journal of the Mathematical Society of Japan 3 Tôhoku Mathematical Journal. Second Series 3 International Journal of Mathematics 2 Communications in Algebra 2 Journal of Algebra 2 RIMS Kokyuroku 1 Duke Mathematical Journal 1 Funkcialaj Ekvacioj. Serio Internacia 1 Hokkaido Mathematical Journal 1 Journal of Pure and Applied Algebra 1 Osaka Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Journal of Lie Theory 1 Algorithms and Computation in Mathematics
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### Fields

 16 Associative rings and algebras (16-XX) 14 Special functions (33-XX) 11 Algebraic geometry (14-XX) 9 Commutative algebra (13-XX) 4 Nonassociative rings and algebras (17-XX) 3 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

20 Publications have been cited 208 times in 150 Documents Cited by Year
Gröbner deformations of hypergeometric differential equations. Zbl 0946.13021
Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki
2000
Isomorphism classes of $$A$$-hypergeometric systems. Zbl 1075.33009
Saito, Mutsumi
2001
Représentations unitaires des groupes symplectiques. (Unitary representations of symmetric groups.). Zbl 0232.22025
Saito, M.
1972
Differential algebras on semigroup algebras. Zbl 1058.16026
Saito, Mutsumi; Traves, William N.
2001
Irreducible quotients of $$A$$-hypergeometric systems. Zbl 1219.33012
Saito, Mutsumi
2011
Finite generation of rings of differential operators of semigroup algebras. Zbl 1054.16021
Saito, Mutsumi; Traves, William N.
2004
Hypergeometric polynomials and integer programming. Zbl 0936.90038
Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki
1999
Logarithm-free $$A$$-hypergeometric series. Zbl 1031.33011
Saito, Mutsumi
2002
Primitive ideals of the ring of differential operators on a affine toric variety. Zbl 1162.13305
Saito, Mutsumi
2007
Représentations unitaires monomiales d’un groupe discret en particulier du groupe modulaire. Zbl 0279.22004
Saito, M.
1974
Contiguity relations for the Lauricella functions. Zbl 0832.33008
Saito, Mutsumi
1995
Parameter shift in normal generalized hypergeometric systems. Zbl 0768.33016
Saito, Mutsumi
1992
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
1994
Critical modules of the ring of differential operators of an affine semigroup algebra. Zbl 1234.13026
Saito, Mutsumi
2010
Noetherian properties of rings of differential operators of affine semigroup algebras. Zbl 1182.16018
Saito, Mutsumi; Takahashi, Ken
2009
Limits of Jordan Lie subalgebras. Zbl 1386.17014
Saito, Mutsumi
2017
Hypergeometric polynomials and integer programming. Zbl 1075.33504
Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki
1997
Symmetry algebras of normal $$\mathcal A$$-hypergeometric systems. Zbl 0886.16023
Saito, Mutsumi
1996
The freeness and minimal free resolutions of modules of differential operators of a generic hyperplane arrangement. Zbl 1276.16020
Nakashima, Norihiro; Okuyama, Go; Saito, Mutsumi
2012
Normality of affine toric varieties associated with Hermitian symmetric spaces. Zbl 0889.14024
Saito, Mutsumi
1994
Limits of Jordan Lie subalgebras. Zbl 1386.17014
Saito, Mutsumi
2017
The freeness and minimal free resolutions of modules of differential operators of a generic hyperplane arrangement. Zbl 1276.16020
Nakashima, Norihiro; Okuyama, Go; Saito, Mutsumi
2012
Irreducible quotients of $$A$$-hypergeometric systems. Zbl 1219.33012
Saito, Mutsumi
2011
Critical modules of the ring of differential operators of an affine semigroup algebra. Zbl 1234.13026
Saito, Mutsumi
2010
Noetherian properties of rings of differential operators of affine semigroup algebras. Zbl 1182.16018
Saito, Mutsumi; Takahashi, Ken
2009
Primitive ideals of the ring of differential operators on a affine toric variety. Zbl 1162.13305
Saito, Mutsumi
2007
Finite generation of rings of differential operators of semigroup algebras. Zbl 1054.16021
Saito, Mutsumi; Traves, William N.
2004
Logarithm-free $$A$$-hypergeometric series. Zbl 1031.33011
Saito, Mutsumi
2002
Isomorphism classes of $$A$$-hypergeometric systems. Zbl 1075.33009
Saito, Mutsumi
2001
Differential algebras on semigroup algebras. Zbl 1058.16026
Saito, Mutsumi; Traves, William N.
2001
Gröbner deformations of hypergeometric differential equations. Zbl 0946.13021
Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki
2000
Hypergeometric polynomials and integer programming. Zbl 0936.90038
Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki
1999
Hypergeometric polynomials and integer programming. Zbl 1075.33504
Saito, Mutsumi; Sturmfels, Bernd; Takayama, Nobuki
1997
Symmetry algebras of normal $$\mathcal A$$-hypergeometric systems. Zbl 0886.16023
Saito, Mutsumi
1996
Contiguity relations for the Lauricella functions. Zbl 0832.33008
Saito, Mutsumi
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
1994
Normality of affine toric varieties associated with Hermitian symmetric spaces. Zbl 0889.14024
Saito, Mutsumi
1994
Parameter shift in normal generalized hypergeometric systems. Zbl 0768.33016
Saito, Mutsumi
1992
Représentations unitaires monomiales d’un groupe discret en particulier du groupe modulaire. Zbl 0279.22004
Saito, M.
1974
Représentations unitaires des groupes symplectiques. (Unitary representations of symmetric groups.). Zbl 0232.22025
Saito, M.
1972
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### Cited by 165 Authors

 20 Takayama, Nobuki 14 Matusevich, Laura Felicia 13 Walther, Uli 11 Saito, Mutsumi 8 Fernández-Fernández, María-Cruz 7 Berkesch Zamaere, Christine 6 Castro-Jiménez, Francisco Jesús 6 Dickenstein, Alicia M. 5 Matsubara-Heo, Saiei-Jaeyeong 5 Nishiyama, Kenta 5 Oaku, Toshinori 4 Kniehl, Bernd A. 4 Levandovskyy, Viktor 4 Miller, Ezra 4 Reichelt, Thomas 4 Sevenheck, Christian 4 Sturmfels, Bernd 4 Takemura, Akimichi 3 Adolphson, Alan 3 Bytev, Vladimir V. 3 Cattani, Eduardo H. 3 Forsgård, Jens 3 Klausen, René Pascal 3 Koyama, Tamio 3 Malbos, Philippe 3 Nakayama, Hiromasa 3 Noro, Masayuki 3 Sperber, Steven I. 3 Takeuchi, Kiyoshi 2 Abebaw, Tilahun 2 Bøgvad, Rikard 2 Borisov, Lev A. 2 Hartillo-Hermoso, María Isabel 2 Horja, Richard Paul 2 Hsiao, Jen-Chieh 2 Kalmykov, Mikhail Yu. 2 Martín-Morales, Jorge 2 Ohara, Katsuyoshi 2 Sadykov, Timur Mradovich 2 Schulze, Mathias 2 Sei, Tomonari 2 Steiner, Avi 1 Abe, Takuro 1 Àlvarez Montaner, Josep 1 Ando, Kana 1 Andres, Daniel 1 Arcadias, Rémi 1 Aroca, Fuensanta 1 Artamonov, Dmitry V. 1 Auerbach, Ruth L. 1 Bahloul, Rouchdi 1 Bitoun, Thomas 1 Blanco, Guillem 1 Bogart, Tristram 1 Bogner, Christian 1 Boldini, Roberto 1 Brickenstein, Michael 1 Castaño Domínguez, Alberto 1 Chan, Chin-Yi Jean 1 Chang, Chao-Hsi 1 Chen, Jianbin 1 Chestnov, Vsevolod 1 Chyzak, Frédéric 1 Cid-Ruiz, Yairon 1 Cobo Pablos, Helena 1 D’Andrea, Carlos 1 de Wolff, Timo 1 Dereziński, Jan 1 Djuraev, N. 1 Dochtermann, Anton 1 Dubédat, Julien 1 Esterov, Alexander I. 1 Feng, Tai-Fu 1 Gann, Sebastian 1 Garoufalidis, Stavros 1 Gasparotto, Federico 1 Giesbrecht, Mark W. 1 Görlach, Paul 1 Goto, Yoshiaki 1 Granger, Michel 1 Grigor’ev, Dmitriĭ Yur’evich 1 Guiraud, Yves 1 Haiman, Mark D. 1 Hashiguchi, Hiroki 1 Hattori, Ryohei 1 Hauser, Herwig 1 He, Song 1 Heinle, Albert 1 Hibi, Takayuki 1 Hillar, Christopher J. 1 Hoffbeck, Eric 1 Hoffmann, Johannes 1 Hofstadler, Clemens 1 Huneke, Craig L. 1 Iohara, Kenji 1 Ito, Yohei 1 Jensen, Anders Nedergaard 1 Joswig, Michael 1 Kahle, Thomas 1 Katthän, Lukas ...and 65 more Authors
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### Cited in 61 Serials

 13 Journal of Symbolic Computation 11 Advances in Mathematics 9 Transactions of the American Mathematical Society 8 Journal of Algebra 7 Journal of Pure and Applied Algebra 5 Proceedings of the American Mathematical Society 5 Journal of High Energy Physics 4 Duke Mathematical Journal 4 Mathematische Zeitschrift 4 Tôhoku Mathematical Journal. Second Series 4 Advances in Applied Mathematics 3 Communications in Algebra 3 Letters in Mathematical Physics 3 Mathematische Annalen 3 Revista Matemática Iberoamericana 3 International Journal of Mathematics 2 Computer Physics Communications 2 Nuclear Physics. B 2 Beiträge zur Algebra und Geometrie 2 Collectanea Mathematica 2 Japan Journal of Industrial and Applied Mathematics 2 Journal of Algebraic Geometry 2 Kyushu Journal of Mathematics 2 Mathematics in Computer Science 2 Journal of Commutative Algebra 1 Journal of Statistical Physics 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Mathematics of Computation 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Compositio Mathematica 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Combinatorial Theory. Series A 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal of Multivariate Analysis 1 Journal of Number Theory 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 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 Mathematical Programming. Series A. Series B 1 Indagationes Mathematicae. New Series 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal of Algebraic Combinatorics 1 Journal of Mathematical Sciences (New York) 1 Finite Fields and their Applications 1 Selecta Mathematica. New Series 1 The Ramanujan Journal 1 Algebras and Representation Theory 1 Annals of Combinatorics 1 Lobachevskii Journal of Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Research in the Mathematical Sciences 1 Journal of Siberian Federal University. Mathematics & Physics 1 Portugaliae Mathematica
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### Cited in 34 Fields

 69 Algebraic geometry (14-XX) 69 Special functions (33-XX) 60 Commutative algebra (13-XX) 51 Several complex variables and analytic spaces (32-XX) 34 Associative rings and algebras (16-XX) 22 Computer science (68-XX) 13 Partial differential equations (35-XX) 10 Quantum theory (81-XX) 8 Convex and discrete geometry (52-XX) 7 Ordinary differential equations (34-XX) 6 Statistics (62-XX) 5 Group theory and generalizations (20-XX) 4 Combinatorics (05-XX) 4 Number theory (11-XX) 3 Field theory and polynomials (12-XX) 3 Differential geometry (53-XX) 2 Difference and functional equations (39-XX) 2 Operator theory (47-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)