# zbMATH — the first resource for mathematics

## Matsutani, Shigeki

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 Author ID: matsutani.shigeki Published as: Matsutani, S.; Matsutani, Shigeki
 Documents Indexed: 63 Publications since 1993 Reviewing Activity: 60 Reviews
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#### Co-Authors

 35 single-authored 12 Previato, Emma 7 Ônishi, Yoshihiro 4 Komeda, Jiryo 3 Eilbeck, John Chris 3 Enolskiĭ, Viktor Zelikovich 3 Hamada, Hiroyasu 3 Shimosako, Yoshiyuki 2 Mitsuhashi, Hideo 1 Asai, A. 1 Gibbons, John 1 Higashida, Kenji 1 Ide, Yusuke 1 Ishiwata, Shingo 1 Kodama, Yuji 1 Konno, Norio 1 Makita, Satoshi 1 Morita, Hideaki 1 Nakagawa, Junichi 1 Nakano, Kota 1 Nakatani, Akihiro 1 Nishiguchi, Hiroshi 1 Okuda, Motoi 1 Saeki, Osamu 1 Sato, Iwao 1 Shinjo, Katsuhiko 1 Uesaka, Masaaki 1 Wang, Yunhong
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#### Serials

 8 Journal of Physics A: Mathematical and General 5 Journal of Geometry and Symmetry in Physics 4 Physics Letters. A 4 Reviews in Mathematical Physics 3 Journal of Geometry and Physics 2 International Journal of Modern Physics A 2 Journal of the Mathematical Society of Japan 2 Mathematical Physics, Analysis and Geometry 2 Journal of Nonlinear Mathematical Physics 2 Journal of Physics A: Mathematical and Theoretical 1 Modern Physics Letters A 1 Discrete Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Collectanea Mathematica 1 International Journal of Mathematics and Mathematical Sciences 1 Journal für die Reine und Angewandte Mathematik 1 Tokyo Journal of Mathematics 1 International Journal of Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 IMRN. International Mathematics Research Notices 1 Annals of Physics 1 Applied Mathematical Modelling 1 Electronic Journal of Differential Equations (EJDE) 1 Integral Transforms and Special Functions 1 Balkan Journal of Geometry and its Applications (BJGA) 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 International Journal of Applied Mathematics 1 International Journal of Modern Physics C 1 Foundations of Physics 1 Cubo 1 Surveys in Mathematics and its Applications 1 Journal of Math-for-Industry 1 Pacific Journal of Mathematics for Industry
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#### Fields

 26 Algebraic geometry (14-XX) 25 Dynamical systems and ergodic theory (37-XX) 16 Partial differential equations (35-XX) 11 Differential geometry (53-XX) 11 Quantum theory (81-XX) 8 Number theory (11-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Special functions (33-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Mechanics of deformable solids (74-XX) 2 Group theory and generalizations (20-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

48 Publications have been cited 160 times in 83 Documents Cited by Year
Abelian functions for trigonal curves of genus three. Zbl 1210.14032
Eilbeck, J. C.; Enolski, V. Z.; Matsutani, S.; Ônishi, Yoshihiro; Previato, E.
2008
Jacobi inversion on strata of the Jacobian of the $$C_{rs}$$ curve $$y^r = f(x)$$. Zbl 1160.14018
Matsutani, Shigeki; Previato, Emma
2008
The sigma function for Weierstrass semigroups $$\langle 3,7,8\rangle$$ and $$\langle 6,13,14,15,16\rangle$$. Zbl 1284.14045
Komeda, Jiryo; Matsutani, Shigeki; Previato, Emma
2013
Recursion relation of hyperelliptic psi-functions of genus two. Zbl 1041.11047
Matsutani, Shigeki
2003
Hyperelliptic solutions of KdV and KP equations: re-evaluation of Baker’s study on hyperelliptic sigma functions. Zbl 0988.37090
Matsutani, Shigeki
2001
Statistical mechanics of elastica on a plane: Origin of the MKdV hierarchy. Zbl 0919.35121
Matsutani, Shigeki
1998
Jacobi inversion on strata of the Jacobian of the $$C_{rs}$$ curve $$y^r = f(x)$$. II. Zbl 1297.14050
Matsutani, Shigeki; Previato, Emma
2014
Sigma functions for a space curve of type $$(3, 4, 5)$$. Zbl 1311.14033
Matsutani, Shigeki; Komeda, Jiryo
2013
Euler’s elastica and beyond. Zbl 1209.37086
Matsutani, Shigeki
2010
Elliptic and hyperelliptic solutions of discrete Painlevé I and its extensions to higher order difference equations. Zbl 0997.34083
Matsutani, Shigeki
2002
Statistical mechanics of non-stretching elastica in three-dimensional space. Zbl 0983.53002
Matsutani, Shigeki
1999
Geometrical construction of the Hirota bilinear form of the modified Korteweg-de Vries equation on a thin elastic rod: Bosonic classical theory. Zbl 0985.35533
Matsutani, Shigeki
1995
Anomaly on a submanifold system – New index theorem related to a submanifold system. Zbl 0855.58056
Matsutani, Shigeki
1995
Quasi-periodic and periodic solutions of the Toda lattice via the hyperelliptic sigma function. Zbl 1279.14044
Kodama, Yuji; Matsutani, Shigeki; Previato, Emma
2013
Addition formulae for abelian functions associated with specialized curves. Zbl 1219.14038
Eilbeck, J. C.; Matsutani, S.; Ônishi, Y.
2011
A class of solutions of the dispersionless KP equation. Zbl 1233.37040
Matsutani, Shigeki; Previato, Emma
2009
Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties. Zbl 1165.14022
Eilbeck, J. C.; Enolski, V. Z.; Matsutani, S.; Ônishi, Yoshihiro; Previato, E.
2008
On the moduli of a quantized elastica in $$\mathbb P$$ and KdV flows: study of hyperelliptic curves as an extension of Euler’s perspective of elastica. I. Zbl 1079.58006
Matsutani, Shigeki; Ônishi, Yoshihiro
2003
Hyperelliptic solutions of modified Korteweg-de Vries equation of genus $$g$$: Essentials of the Miura transformation. Zbl 1040.37063
Matsutani, Shigeki
2002
Hyperelliptic loop solitons with genus $$g$$: investigations of a quantized elastica. Zbl 0998.35045
Matsutani, Shigeki
2002
The Lotka-Volterra equation over a finite ring $$\mathbb{Z}/p^N\mathbb{Z}$$. Zbl 0992.39017
Matsutani, Shigeki
2001
Immersion anomaly of Dirac operator on surface in $$\mathbb{R}^3$$. Zbl 0982.53004
Matsutani, Shigeki
1999
On density of state of quantized Willmore surface – a way to a quantized extrinsic string in $$\mathbb{R}^3$$. Zbl 0928.53043
Matsutani, Shigeki
1998
The Riemann constant for a non-symmetric Weierstrass semigroup. Zbl 1360.14090
Komeda, Jiryo; Matsutani, Shigeki; Previato, Emma
2016
Relationship between the prime form and the sigma function for some cyclic ($$r, s$$) curves. Zbl 1267.14055
Gibbons, John; Matsutani, Shigeki; Ônishi, Yoshihiro
2013
Surface tension of multi-phase flow with multiple junctions governed by the variational principle. Zbl 1348.76178
Matsutani, Shigeki; Nakano, Kota; Shinjo, Katsuhiko
2011
A generalized Kiepert formula for $$C_{ab}$$ curves. Zbl 1186.14025
Matsutani, Shigeki; Previato, Emma
2009
A generalized Weierstrass representation for a submanifold $$S$$ in $$\mathbb E^n$$ arising from the submanifold Dirac operator. Zbl 1164.53003
Matsutani, Shigeki
2008
Neumann system and hyperelliptic $$\text{al}$$ functions. Zbl 1153.37428
Matsutani, Shigeki
2008
Relations in a quantized elastica. Zbl 1134.37035
Matsutani, Shigeki
2008
Toda equations and $$\sigma$$-functions of genera one and two. Zbl 1039.37063
Matsutani, Shigeki
2003
Dirac operator on a conformal surface immersed in $${\mathbb{R}}^4$$: A way to further generalized Weierstrass equation. Zbl 0965.53009
Matsutani, Shigeki
2000
A constant mean curvature surface and the Dirac operator. Zbl 0938.53006
Matsutani, Shigeki
1997
Physical realization of the Jimbo-Miwa theory of the modified Korteweg-de Vries equation on a thin elastic rod: Fermionic theory. Zbl 0985.35534
Matsutani, Shigeki
1995
The relation of lemniscate and a loop soliton as 3/2 and 1 spin fields along the modified Korteweg-de Vries equation. Zbl 1020.37573
Matsutani, Shigeki
1995
On the physical relation between the Dirac equation and the generalized mKdV equation on a thin elastic rod. Zbl 0941.81531
Matsutani, Shigeki
1994
The sigma function for trigonal cyclic curves. Zbl 1441.14145
Komeda, Jiryo; Matsutani, Shigeki; Previato, Emma
2019
From Euler’s elastica to the mKdV hierarchy, through the Faber polynomials. Zbl 1398.37065
Matsutani, Shigeki; Previato, Emma
2016
Sheaf-theoretic investigation of CIP-method. Zbl 1427.76215
Matsutani, Shigeki
2010
Numerical computations of conductivity in continuum percolation for overlapping spheroids. Zbl 1195.82025
Matsutani, Shigeki; Shimosako, Yoshiyuki; Wang, Yunhong
2010
The addition law attached to a stratification of a hyperelliptic Jacobian variety. Zbl 1167.14016
Enolskii, Victor; Matsutani, Shigeki; Ônishi, Yoshihiro
2008
Generalized Weierstrass relations and Frobenius reciprocity. Zbl 1144.53078
Matsutani, Shigeki
2006
Relations of al functions over subvarieties in a hyperelliptic Jacobian. Zbl 1119.14028
Matsutani, Shigeki
2005
On the essential algebraic aspects of submanifold quantum mechanics. Zbl 1088.81026
Matsutani, Shigeki
2004
Submanifold Dirac operators with torsion. Zbl 1210.53003
Matsutani, Shigeki
2004
On relations of hyperelliptic Weierstrass AL-functions. Zbl 1028.30030
Matsutani, Shigeki
2002
Closed loop solitons and sigma functions: Classical and quantized elasticas with genera one and two. Zbl 0977.35120
Matsutani, Shigeki
2001
On time development of a quasi-quantum particle in quartic potential $$(x^2-a^2)^2/2g$$. Zbl 0894.47060
Matsutani, Shigeki
1997
The sigma function for trigonal cyclic curves. Zbl 1441.14145
Komeda, Jiryo; Matsutani, Shigeki; Previato, Emma
2019
The Riemann constant for a non-symmetric Weierstrass semigroup. Zbl 1360.14090
Komeda, Jiryo; Matsutani, Shigeki; Previato, Emma
2016
From Euler’s elastica to the mKdV hierarchy, through the Faber polynomials. Zbl 1398.37065
Matsutani, Shigeki; Previato, Emma
2016
Jacobi inversion on strata of the Jacobian of the $$C_{rs}$$ curve $$y^r = f(x)$$. II. Zbl 1297.14050
Matsutani, Shigeki; Previato, Emma
2014
The sigma function for Weierstrass semigroups $$\langle 3,7,8\rangle$$ and $$\langle 6,13,14,15,16\rangle$$. Zbl 1284.14045
Komeda, Jiryo; Matsutani, Shigeki; Previato, Emma
2013
Sigma functions for a space curve of type $$(3, 4, 5)$$. Zbl 1311.14033
Matsutani, Shigeki; Komeda, Jiryo
2013
Quasi-periodic and periodic solutions of the Toda lattice via the hyperelliptic sigma function. Zbl 1279.14044
Kodama, Yuji; Matsutani, Shigeki; Previato, Emma
2013
Relationship between the prime form and the sigma function for some cyclic ($$r, s$$) curves. Zbl 1267.14055
Gibbons, John; Matsutani, Shigeki; Ônishi, Yoshihiro
2013
Addition formulae for abelian functions associated with specialized curves. Zbl 1219.14038
Eilbeck, J. C.; Matsutani, S.; Ônishi, Y.
2011
Surface tension of multi-phase flow with multiple junctions governed by the variational principle. Zbl 1348.76178
Matsutani, Shigeki; Nakano, Kota; Shinjo, Katsuhiko
2011
Euler’s elastica and beyond. Zbl 1209.37086
Matsutani, Shigeki
2010
Sheaf-theoretic investigation of CIP-method. Zbl 1427.76215
Matsutani, Shigeki
2010
Numerical computations of conductivity in continuum percolation for overlapping spheroids. Zbl 1195.82025
Matsutani, Shigeki; Shimosako, Yoshiyuki; Wang, Yunhong
2010
A class of solutions of the dispersionless KP equation. Zbl 1233.37040
Matsutani, Shigeki; Previato, Emma
2009
A generalized Kiepert formula for $$C_{ab}$$ curves. Zbl 1186.14025
Matsutani, Shigeki; Previato, Emma
2009
Abelian functions for trigonal curves of genus three. Zbl 1210.14032
Eilbeck, J. C.; Enolski, V. Z.; Matsutani, S.; Ônishi, Yoshihiro; Previato, E.
2008
Jacobi inversion on strata of the Jacobian of the $$C_{rs}$$ curve $$y^r = f(x)$$. Zbl 1160.14018
Matsutani, Shigeki; Previato, Emma
2008
Addition formulae over the Jacobian pre-image of hyperelliptic Wirtinger varieties. Zbl 1165.14022
Eilbeck, J. C.; Enolski, V. Z.; Matsutani, S.; Ônishi, Yoshihiro; Previato, E.
2008
A generalized Weierstrass representation for a submanifold $$S$$ in $$\mathbb E^n$$ arising from the submanifold Dirac operator. Zbl 1164.53003
Matsutani, Shigeki
2008
Neumann system and hyperelliptic $$\text{al}$$ functions. Zbl 1153.37428
Matsutani, Shigeki
2008
Relations in a quantized elastica. Zbl 1134.37035
Matsutani, Shigeki
2008
The addition law attached to a stratification of a hyperelliptic Jacobian variety. Zbl 1167.14016
Enolskii, Victor; Matsutani, Shigeki; Ônishi, Yoshihiro
2008
Generalized Weierstrass relations and Frobenius reciprocity. Zbl 1144.53078
Matsutani, Shigeki
2006
Relations of al functions over subvarieties in a hyperelliptic Jacobian. Zbl 1119.14028
Matsutani, Shigeki
2005
On the essential algebraic aspects of submanifold quantum mechanics. Zbl 1088.81026
Matsutani, Shigeki
2004
Submanifold Dirac operators with torsion. Zbl 1210.53003
Matsutani, Shigeki
2004
Recursion relation of hyperelliptic psi-functions of genus two. Zbl 1041.11047
Matsutani, Shigeki
2003
On the moduli of a quantized elastica in $$\mathbb P$$ and KdV flows: study of hyperelliptic curves as an extension of Euler’s perspective of elastica. I. Zbl 1079.58006
Matsutani, Shigeki; Ônishi, Yoshihiro
2003
Toda equations and $$\sigma$$-functions of genera one and two. Zbl 1039.37063
Matsutani, Shigeki
2003
Elliptic and hyperelliptic solutions of discrete Painlevé I and its extensions to higher order difference equations. Zbl 0997.34083
Matsutani, Shigeki
2002
Hyperelliptic solutions of modified Korteweg-de Vries equation of genus $$g$$: Essentials of the Miura transformation. Zbl 1040.37063
Matsutani, Shigeki
2002
Hyperelliptic loop solitons with genus $$g$$: investigations of a quantized elastica. Zbl 0998.35045
Matsutani, Shigeki
2002
On relations of hyperelliptic Weierstrass AL-functions. Zbl 1028.30030
Matsutani, Shigeki
2002
Hyperelliptic solutions of KdV and KP equations: re-evaluation of Baker’s study on hyperelliptic sigma functions. Zbl 0988.37090
Matsutani, Shigeki
2001
The Lotka-Volterra equation over a finite ring $$\mathbb{Z}/p^N\mathbb{Z}$$. Zbl 0992.39017
Matsutani, Shigeki
2001
Closed loop solitons and sigma functions: Classical and quantized elasticas with genera one and two. Zbl 0977.35120
Matsutani, Shigeki
2001
Dirac operator on a conformal surface immersed in $${\mathbb{R}}^4$$: A way to further generalized Weierstrass equation. Zbl 0965.53009
Matsutani, Shigeki
2000
Statistical mechanics of non-stretching elastica in three-dimensional space. Zbl 0983.53002
Matsutani, Shigeki
1999
Immersion anomaly of Dirac operator on surface in $$\mathbb{R}^3$$. Zbl 0982.53004
Matsutani, Shigeki
1999
Statistical mechanics of elastica on a plane: Origin of the MKdV hierarchy. Zbl 0919.35121
Matsutani, Shigeki
1998
On density of state of quantized Willmore surface – a way to a quantized extrinsic string in $$\mathbb{R}^3$$. Zbl 0928.53043
Matsutani, Shigeki
1998
A constant mean curvature surface and the Dirac operator. Zbl 0938.53006
Matsutani, Shigeki
1997
On time development of a quasi-quantum particle in quartic potential $$(x^2-a^2)^2/2g$$. Zbl 0894.47060
Matsutani, Shigeki
1997
Geometrical construction of the Hirota bilinear form of the modified Korteweg-de Vries equation on a thin elastic rod: Bosonic classical theory. Zbl 0985.35533
Matsutani, Shigeki
1995
Anomaly on a submanifold system – New index theorem related to a submanifold system. Zbl 0855.58056
Matsutani, Shigeki
1995
Physical realization of the Jimbo-Miwa theory of the modified Korteweg-de Vries equation on a thin elastic rod: Fermionic theory. Zbl 0985.35534
Matsutani, Shigeki
1995
The relation of lemniscate and a loop soliton as 3/2 and 1 spin fields along the modified Korteweg-de Vries equation. Zbl 1020.37573
Matsutani, Shigeki
1995
On the physical relation between the Dirac equation and the generalized mKdV equation on a thin elastic rod. Zbl 0941.81531
Matsutani, Shigeki
1994
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#### Cited by 86 Authors

 26 Matsutani, Shigeki 14 Geng, Xianguo 11 Previato, Emma 8 Zeng, Xin 7 Enolskiĭ, Viktor Zelikovich 5 He, Guoliang 5 Wei, Jiao 5 Wu, Lihua 4 Athorne, Chris 4 Ayano, Takanori 3 Bukhshtaber, Viktor Matveevich 3 Eilbeck, John Chris 3 Hone, Andrew N. W. 3 Komeda, Jiryo 3 Ônishi, Yoshihiro 2 Bernatska, Julia 2 Dai, Chaoqing 2 England, Matthew 2 Kagramanova, Valeria 2 Kunz, Jutta 2 Lämmerzahl, Claus 2 Nakayashiki, Atsushi 2 Tsyganov, Andreĭ Vladimirovich 1 Bai, Chengjie 1 Bai, Chenglin 1 Baldwin, Sadie 1 Brandt, F. T. 1 Bruno, Alexander Dmitrievich 1 Bunkova, Elena Yur’evna 1 Dai, Hui-Hui 1 Ding, Qi 1 Dong, Shuangling 1 Dong, Siwei 1 Dong, Yan-Cheng 1 Du, Weikang 1 Eilers, Keno 1 Fan, Yan 1 Feng, Yang 1 Gibbons, John 1 Hackmann, Eva 1 Hamada, Hiroyasu 1 Hartmann, Betti 1 Huang, Wenhua 1 Kawakubo, Satoshi 1 Kodama, Yuji 1 Kopeliovich, Yaacov 1 Lai, Xianjing 1 Leykin, Dmitry 1 Li, Zhida 1 Liu, Nan 1 Liu, Qinghe 1 Liu, Yulu 1 Lu, Zhiming 1 Meng, Jianping 1 Mingari Scarpello, Giovanni 1 Miura, Tatsuya 1 Nakagawa, Junichi 1 Nakano, Kota 1 Nieszporski, Maciej 1 Ritelli, Daniele 1 Rueda, Sonia L. 1 Saeki, Osamu 1 Salas, Alvaro H. 1 Sánchez-Monroy, J. A. 1 Shimosako, Yoshiyuki 1 Shinjo, Katsuhiko 1 Sirimachan, Parinya 1 Suzuki, Joe 1 Swart, Christine S. 1 Uesaka, Masaaki 1 Vershilov, Alexander Vladimirovich 1 Wang, Chien-Ming 1 Wen, Xiaoyong 1 Xu, Changzhi 1 Xu, Ling 1 Xu, Meirong 1 Xu, Sipeng 1 Yang, Zhuoqin 1 Zemel, Shaul 1 Zhai, Yunyun 1 Zhang, Hongqing 1 Zhang, Jiefang 1 Zhang, Ning 1 Zhao, Hong 1 Zhou, Xiangyang 1 Zurro, María-Angeles
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#### Cited in 46 Serials

 13 Journal of Geometry and Physics 5 Physics Letters. A 4 Reviews in Mathematical Physics 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Journal of Mathematical Physics 3 Letters in Mathematical Physics 3 Applied Mathematics and Computation 2 Journal of Computational Physics 2 Theoretical and Mathematical Physics 2 Chaos, Solitons and Fractals 2 Functional Analysis and its Applications 2 Journal of the Mathematical Society of Japan 2 Transactions of the American Mathematical Society 2 Mathematical Physics, Analysis and Geometry 2 Journal of Nonlinear Mathematical Physics 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Collectanea Mathematica 1 Mathematische Annalen 1 Meccanica 1 Osaka Journal of Mathematics 1 Tokyo Journal of Mathematics 1 Transactions of the Moscow Mathematical Society 1 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 International Journal of Mathematics 1 Applied Mathematical Modelling 1 Journal of Nonlinear Science 1 Integral Transforms and Special Functions 1 Mathematical Problems in Engineering 1 Regular and Chaotic Dynamics 1 Annales Henri Poincaré 1 Computational Methods and Function Theory 1 Central European Journal of Mathematics 1 Advances in Difference Equations 1 Foundations of Physics 1 Proceedings of the Steklov Institute of Mathematics 1 Pacific Journal of Mathematics for Industry
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#### Cited in 28 Fields

 44 Algebraic geometry (14-XX) 36 Dynamical systems and ergodic theory (37-XX) 18 Partial differential equations (35-XX) 10 Number theory (11-XX) 9 Special functions (33-XX) 8 Differential geometry (53-XX) 5 Mechanics of deformable solids (74-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Fluid mechanics (76-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Functions of a complex variable (30-XX) 3 Numerical analysis (65-XX) 3 Quantum theory (81-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Ordinary differential equations (34-XX) 2 Mechanics of particles and systems (70-XX) 2 Relativity and gravitational theory (83-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX)