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Tahara, Hidetoshi

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 Author ID: tahara.hidetoshi Published as: Tahara, H.; Tahara, Hidetoshi
 Documents Indexed: 86 Publications since 1977, including 1 Book
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Co-Authors

 50 single-authored 11 Gerard, Raymond 5 Bacani, Dennis B. 4 Chen, Hua 4 Yamane, Hideshi 4 Yamazawa, Hiroshi 3 Lope, Jose Ernie C. 3 Parenti, Cesare 2 Bove, Antonio 2 Lewis, Jeff E. 2 Luo, Zhuangchu 2 Okada, Yasunori 1 Lastra, Alberto 1 Mandai, Takeshi 1 Roque, Marian P. 1 Schäfke, Reinhard 1 Tolentino, Mark Anthony C.
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Serials

 10 Journal of the Mathematical Society of Japan 10 Publications of the Research Institute for Mathematical Sciences, Kyoto University 9 Proceedings of the Japan Academy. Series A 7 RIMS Kokyuroku 6 Journal of the Faculty of Science. Section I A 6 RIMS Kôkyûroku Bessatsu 4 Funkcialaj Ekvacioj. Serio Internacia 4 Tokyo Journal of Mathematics 3 Japanese Journal of Mathematics. New Series 2 Annales de l’Institut Fourier 2 Journal of Differential Equations 2 Journal of Mathematical Sciences. University of Tokyo 2 Opuscula Mathematica 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Nagoya Mathematical Journal 1 Zeitschrift für Analysis und ihre Anwendungen 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Aspects of Mathematics
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Fields

 84 Partial differential equations (35-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Difference and functional equations (39-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX)

Citations contained in zbMATH Open

56 Publications have been cited 248 times in 119 Documents Cited by Year
Singular nonlinear partial differential equations. Zbl 0874.35001
Gérard, Raymond; Tahara, Hidetoshi
1996
Multisummability of formal solutions to the Cauchy problem for some linear partial differential equations. Zbl 1320.35151
Tahara, Hidetoshi; Yamazawa, Hiroshi
2013
Fuchsian type equations and Fuchsian hyperbolic equations. Zbl 0431.35004
Tahara, Hidetoshi
1979
Formal solutions of nonlinear first order totally characteristic type PDE with irregular singularity. Zbl 0993.35003
Chen, Hua; Luo, Zhuangchu; Tahara, Hidetoshi
2001
Holomorphic and singular solutions of nonlinear singular first order partial differential equations. Zbl 0736.35022
Gérard, Raymond; Tahara, Hidetoshi
1990
On totally characteristic type nonlinear partial differential equations in the complex domain. Zbl 0961.35002
Chen, Hua; Tahara, Hidetoshi
1999
Singular hyperbolic systems. III: On the Cauchy problem for Fuchsian hyperbolic partial differential equations. Zbl 0463.35053
Tahara, Hidetoshi
1980
Cauchy problems for Fuchsian hyperbolic partial differential equations. Zbl 0403.35062
Tahara, Hidetoshi
1978
Formal power series solutions of nonlinear first order partial differential equations. Zbl 1142.35310
Gérard, Raymond; Tahara, Hidetoshi
1998
Removable singularities of solutions of nonlinear singular partial differential equations. Zbl 0851.35004
Tahara, Hidetoshi
1996
On the unique solvability of certain nonlinear singular partial differential equations. Zbl 1252.35122
Lope, Jose Ernie C.; Roque, Marian P.; Tahara, Hidetoshi
2012
On the singularities of solutions of nonlinear partial differential equations in the complex domain. II. Zbl 1125.35304
Tahara, Hidetoshi
2004
On the singularities of solutions of nonlinear partial differential equations in the complex domain. Zbl 1055.35009
Tahara, H.
2002
On the holomorphic solution of nonlinear totally characteristic equations. Zbl 1017.35006
Chen, Hua; Tahara, Hidetoshi
2000
On the uniqueness theorem for nonlinear singular partial differential equations. Zbl 0922.35005
Tahara, Hidetoshi
1998
Singular and holomorphic solutions of singular nonlinear partial differential equations. Zbl 0805.35015
Gérard, Raymond; Tahara, Hidetoshi
1993
Singular hyperbolic systems. V: Asymptotic expansions for Fuchsian hyperbolic partial differential equations. Zbl 0526.35017
Tahara, Hidetoshi
1984
Structure of solutions of nonlinear partial differential equations of Gérard-Tahara type. Zbl 1085.35009
Tahara, Hidetoshi; Yamazawa, Hiroshi
2005
Solvability of partial differential equations of nonlinear totally characteristic type with resonances. Zbl 1061.35009
Tahara, Hidetoshi
2003
On the analytic continuation of solutions to nonlinear partial differential equations. Zbl 1028.35034
Lope, Jose Ernie C.; Tahara, Hidetoshi
2002
On a Volevic system of singular partial differential equations. Zbl 0477.35001
Tahara, Hidetoshi
1982
$$q$$-analogue of summability of formal solutions of some linear $$q$$-difference-differential equations. Zbl 1329.35104
Tahara, Hidetoshi; Yamazawa, Hiroshi
2015
Gevrey regularity in time of solutions to nonlinear partial differential equations. Zbl 1255.35070
Tahara, Hidetoshi
2011
Logarithmic singularities of solutions to nonlinear partial differential equations. Zbl 1151.35305
Tahara, Hidetoshi; Yamane, Hideshi
2008
Coupling of two partial differential equations and its application. Zbl 1140.35002
Tahara, Hidetoshi
2007
Holomorphic and singular solutions of nonlinear singular partial differential equations. II. Zbl 1146.35302
Gérard, Raymond; Tahara, Hidetoshi
1996
Uniqueness of the solution of nonlinear singular partial differential equations. Zbl 0885.35002
Tahara, Hidetoshi
1996
Singular hyperbolic systems. VIII: On the well-posedness in Gevrey classes for Fuchsian hyperbolic equations. Zbl 0774.35044
Tahara, Hidetoshi
1992
On the local solvability of Fuchsian type partial differential equations. Zbl 0682.35004
Tahara, Hidetoshi
1989
Asymptotic expansions of distribution solutions of some Fuchsian hyperbolic equations. Zbl 0658.35055
Parenti, Cesare; Tahara, Hidetoshi
1987
Cauchy problems for Fuchsian hyperbolic equations in spaces of functions of Gevrey classes. Zbl 0586.35060
Tahara, Hidetoshi
1985
Existence and uniqueness theorem for a class of singular nonlinear partial differential equations. Zbl 1258.35001
Bacani, Dennis B.; Tahara, Hidetoshi
2012
Coupling of two partial differential equations and its application. II: The case of Briot-Bouquet type PDEs. Zbl 1179.35020
Tahara, Hidetoshi
2009
Coupling of two partial differential equations and its application. Zbl 1140.35368
Tahara, Hidetoshi
2007
Uniqueness of the solution of nonlinear totally characteristic partial differential equations. Zbl 1163.35302
Tahara, Hidetoshi
2005
Structure of solutions to Fuchsian systems of partial differential equations. Zbl 1049.35006
Mandai, Takeshi; Tahara, Hidetoshi
2003
A new version of the factorization of a differential equation of the form $$F(x,y,\tau y)=0$$. Zbl 0877.35027
Gerard, Raymond; Tahara, Hidetoshi
1996
Nonlinear singular first order partial differential equations of Briot- Bouquet type. Zbl 0711.35034
Gérard, Raymond; Tahara, Hidetoshi
1990
Solvability in distributions for a class of singular differential operators. I. Zbl 0693.35116
Tahara, Hidetoshi
1988
Cauchy problem for Fuchsian hyperbolic operators. II. Zbl 0654.35059
Bove, Antonio; Lewis, Jeff E.; Parenti, Cesare; Tahara, Hidetoshi
1987
Singular hyperbolic systems. IV: Remarks on the Cauchy problem for singular hyperbolic partial differential equations. Zbl 0514.35048
Tahara, Hidetoshi
1982
Fundamental systems of analytic solutions of Fuchsian type partial differential equations. Zbl 0482.35002
Tahara, Hidetoshi
1981
Maillet type theorem for nonlinear totally characteristic partial differential equations. Zbl 1445.35113
Lastra, Alberto; Tahara, Hidetoshi
2020
$$q$$-analogues of Laplace and Borel transforms by means of $$q$$-exponentials. Zbl 1420.44003
Tahara, Hidetoshi
2017
Generalized Poincaré condition and convergence of formal solutions of some nonlinear totally characteristic equations. Zbl 1373.35081
Tahara, Hidetoshi
2017
Unique solvability of some nonlinear partial differential equations with Fuchsian and irregular singularities. Zbl 1302.35010
Bacani, Dennis B.; Tahara, Hidetoshi
2014
On a reduction of nonlinear partial differential equations of Briot-Bouquet type. Zbl 1295.35014
Tahara, Hidetoshi
2013
Maillet type theorem and Gevrey regularity in time of solutions to nonlinear partial differential equations. Zbl 1272.35062
Tahara, Hidetoshi
2012
On the singular solutions of nonlinear singular partial differential equations. I. Zbl 0988.35009
Tahara, Hidetoshi
2001
On the factorization of an equation of the form $$F(x,y,\tau y)=0$$ where $$\tau$$ is a meromorphic vector field. Zbl 1119.35304
Gérard, Raymond; Tahara, Hidetoshi
1996
Théorème du type Maillet pour une classe d’équations aux dérivées partielles analytiques singulières. (Maillet’s type theorem for a class of singular partial differential equations). Zbl 0729.35029
Gérard, Raymond; Tahara, Hidetoshi
1991
Singular hyperbolic systems. VII: Asymptotic analysis for Fuchsian hyperbolic equations in Gevrey classes (2). Zbl 0702.35148
Tahara, Hidetoshi
1989
Solvability in distributions for a class of singular differential operators. II. Zbl 0708.35021
Tahara, Hidetoshi
1988
Singular hyperbolic systems. VI: Asymptotic analysis for Fuchsian hyperbolic equations in Gevrey classes. Zbl 0621.35061
Tahara, Hidetoshi
1987
Asymptotic expansions of solutions of Fuchsian hyperbolic equations in spaces of functions of Gevrey classes. Zbl 0592.35091
Tahara, Hidetoshi
1985
The structure of local solutions of partial differential equations of the Fuchsian type. Zbl 0371.35004
Tahara, Hidetoshi
1977
Maillet type theorem for nonlinear totally characteristic partial differential equations. Zbl 1445.35113
Lastra, Alberto; Tahara, Hidetoshi
2020
$$q$$-analogues of Laplace and Borel transforms by means of $$q$$-exponentials. Zbl 1420.44003
Tahara, Hidetoshi
2017
Generalized Poincaré condition and convergence of formal solutions of some nonlinear totally characteristic equations. Zbl 1373.35081
Tahara, Hidetoshi
2017
$$q$$-analogue of summability of formal solutions of some linear $$q$$-difference-differential equations. Zbl 1329.35104
Tahara, Hidetoshi; Yamazawa, Hiroshi
2015
Unique solvability of some nonlinear partial differential equations with Fuchsian and irregular singularities. Zbl 1302.35010
Bacani, Dennis B.; Tahara, Hidetoshi
2014
Multisummability of formal solutions to the Cauchy problem for some linear partial differential equations. Zbl 1320.35151
Tahara, Hidetoshi; Yamazawa, Hiroshi
2013
On a reduction of nonlinear partial differential equations of Briot-Bouquet type. Zbl 1295.35014
Tahara, Hidetoshi
2013
On the unique solvability of certain nonlinear singular partial differential equations. Zbl 1252.35122
Lope, Jose Ernie C.; Roque, Marian P.; Tahara, Hidetoshi
2012
Existence and uniqueness theorem for a class of singular nonlinear partial differential equations. Zbl 1258.35001
Bacani, Dennis B.; Tahara, Hidetoshi
2012
Maillet type theorem and Gevrey regularity in time of solutions to nonlinear partial differential equations. Zbl 1272.35062
Tahara, Hidetoshi
2012
Gevrey regularity in time of solutions to nonlinear partial differential equations. Zbl 1255.35070
Tahara, Hidetoshi
2011
Coupling of two partial differential equations and its application. II: The case of Briot-Bouquet type PDEs. Zbl 1179.35020
Tahara, Hidetoshi
2009
Logarithmic singularities of solutions to nonlinear partial differential equations. Zbl 1151.35305
Tahara, Hidetoshi; Yamane, Hideshi
2008
Coupling of two partial differential equations and its application. Zbl 1140.35002
Tahara, Hidetoshi
2007
Coupling of two partial differential equations and its application. Zbl 1140.35368
Tahara, Hidetoshi
2007
Structure of solutions of nonlinear partial differential equations of Gérard-Tahara type. Zbl 1085.35009
Tahara, Hidetoshi; Yamazawa, Hiroshi
2005
Uniqueness of the solution of nonlinear totally characteristic partial differential equations. Zbl 1163.35302
Tahara, Hidetoshi
2005
On the singularities of solutions of nonlinear partial differential equations in the complex domain. II. Zbl 1125.35304
Tahara, Hidetoshi
2004
Solvability of partial differential equations of nonlinear totally characteristic type with resonances. Zbl 1061.35009
Tahara, Hidetoshi
2003
Structure of solutions to Fuchsian systems of partial differential equations. Zbl 1049.35006
Mandai, Takeshi; Tahara, Hidetoshi
2003
On the singularities of solutions of nonlinear partial differential equations in the complex domain. Zbl 1055.35009
Tahara, H.
2002
On the analytic continuation of solutions to nonlinear partial differential equations. Zbl 1028.35034
Lope, Jose Ernie C.; Tahara, Hidetoshi
2002
Formal solutions of nonlinear first order totally characteristic type PDE with irregular singularity. Zbl 0993.35003
Chen, Hua; Luo, Zhuangchu; Tahara, Hidetoshi
2001
On the singular solutions of nonlinear singular partial differential equations. I. Zbl 0988.35009
Tahara, Hidetoshi
2001
On the holomorphic solution of nonlinear totally characteristic equations. Zbl 1017.35006
Chen, Hua; Tahara, Hidetoshi
2000
On totally characteristic type nonlinear partial differential equations in the complex domain. Zbl 0961.35002
Chen, Hua; Tahara, Hidetoshi
1999
Formal power series solutions of nonlinear first order partial differential equations. Zbl 1142.35310
Gérard, Raymond; Tahara, Hidetoshi
1998
On the uniqueness theorem for nonlinear singular partial differential equations. Zbl 0922.35005
Tahara, Hidetoshi
1998
Singular nonlinear partial differential equations. Zbl 0874.35001
Gérard, Raymond; Tahara, Hidetoshi
1996
Removable singularities of solutions of nonlinear singular partial differential equations. Zbl 0851.35004
Tahara, Hidetoshi
1996
Holomorphic and singular solutions of nonlinear singular partial differential equations. II. Zbl 1146.35302
Gérard, Raymond; Tahara, Hidetoshi
1996
Uniqueness of the solution of nonlinear singular partial differential equations. Zbl 0885.35002
Tahara, Hidetoshi
1996
A new version of the factorization of a differential equation of the form $$F(x,y,\tau y)=0$$. Zbl 0877.35027
Gerard, Raymond; Tahara, Hidetoshi
1996
On the factorization of an equation of the form $$F(x,y,\tau y)=0$$ where $$\tau$$ is a meromorphic vector field. Zbl 1119.35304
Gérard, Raymond; Tahara, Hidetoshi
1996
Singular and holomorphic solutions of singular nonlinear partial differential equations. Zbl 0805.35015
Gérard, Raymond; Tahara, Hidetoshi
1993
Singular hyperbolic systems. VIII: On the well-posedness in Gevrey classes for Fuchsian hyperbolic equations. Zbl 0774.35044
Tahara, Hidetoshi
1992
Théorème du type Maillet pour une classe d’équations aux dérivées partielles analytiques singulières. (Maillet’s type theorem for a class of singular partial differential equations). Zbl 0729.35029
Gérard, Raymond; Tahara, Hidetoshi
1991
Holomorphic and singular solutions of nonlinear singular first order partial differential equations. Zbl 0736.35022
Gérard, Raymond; Tahara, Hidetoshi
1990
Nonlinear singular first order partial differential equations of Briot- Bouquet type. Zbl 0711.35034
Gérard, Raymond; Tahara, Hidetoshi
1990
On the local solvability of Fuchsian type partial differential equations. Zbl 0682.35004
Tahara, Hidetoshi
1989
Singular hyperbolic systems. VII: Asymptotic analysis for Fuchsian hyperbolic equations in Gevrey classes (2). Zbl 0702.35148
Tahara, Hidetoshi
1989
Solvability in distributions for a class of singular differential operators. I. Zbl 0693.35116
Tahara, Hidetoshi
1988
Solvability in distributions for a class of singular differential operators. II. Zbl 0708.35021
Tahara, Hidetoshi
1988
Asymptotic expansions of distribution solutions of some Fuchsian hyperbolic equations. Zbl 0658.35055
Parenti, Cesare; Tahara, Hidetoshi
1987
Cauchy problem for Fuchsian hyperbolic operators. II. Zbl 0654.35059
Bove, Antonio; Lewis, Jeff E.; Parenti, Cesare; Tahara, Hidetoshi
1987
Singular hyperbolic systems. VI: Asymptotic analysis for Fuchsian hyperbolic equations in Gevrey classes. Zbl 0621.35061
Tahara, Hidetoshi
1987
Cauchy problems for Fuchsian hyperbolic equations in spaces of functions of Gevrey classes. Zbl 0586.35060
Tahara, Hidetoshi
1985
Asymptotic expansions of solutions of Fuchsian hyperbolic equations in spaces of functions of Gevrey classes. Zbl 0592.35091
Tahara, Hidetoshi
1985
Singular hyperbolic systems. V: Asymptotic expansions for Fuchsian hyperbolic partial differential equations. Zbl 0526.35017
Tahara, Hidetoshi
1984
On a Volevic system of singular partial differential equations. Zbl 0477.35001
Tahara, Hidetoshi
1982
Singular hyperbolic systems. IV: Remarks on the Cauchy problem for singular hyperbolic partial differential equations. Zbl 0514.35048
Tahara, Hidetoshi
1982
Fundamental systems of analytic solutions of Fuchsian type partial differential equations. Zbl 0482.35002
Tahara, Hidetoshi
1981
Singular hyperbolic systems. III: On the Cauchy problem for Fuchsian hyperbolic partial differential equations. Zbl 0463.35053
Tahara, Hidetoshi
1980
Fuchsian type equations and Fuchsian hyperbolic equations. Zbl 0431.35004
Tahara, Hidetoshi
1979
Cauchy problems for Fuchsian hyperbolic partial differential equations. Zbl 0403.35062
Tahara, Hidetoshi
1978
The structure of local solutions of partial differential equations of the Fuchsian type. Zbl 0371.35004
Tahara, Hidetoshi
1977
all top 5

Cited by 74 Authors

 30 Tahara, Hidetoshi 18 Malek, Stéphane 14 Lastra, Alberto 6 Chen, Hua 5 Luo, Zhuangchu 5 Oaku, Toshinori 4 Bacani, Dennis B. 4 Michalik, Sławomir 4 Remy, Pascal 4 Yamane, Hideshi 4 Zhang, Changgui 3 Balser, Werner 3 Gerard, Raymond 3 Lope, Jose Ernie C. 3 Mandai, Takeshi 3 Nakane, Shizuo 3 Parenti, Cesare 3 Sanz, Javier 3 Yamazawa, Hiroshi 2 Bove, Antonio 2 Galstian, Anahit 2 Hibino, Masaki 2 Kinoshita, Tamotu 2 Lewis, Jeff E. 2 Shirai, Akira 2 Suwińska, Maria 2 Yagdjian, Karen 2 Yoshino, Masafumi 1 Ames, Ellery 1 Arceo, Carlene Perpetua P. 1 Baskin, Dean 1 Battista, Emmanuele 1 Bernardi, Enrico 1 Beyer, Florian 1 Derrab, Faiza 1 Di Grezia, Elisabetta 1 Escaner, Jose Maria L. IV 1 Esposito, Giampiero 1 Garay, Mauricio D. 1 Getmanenko, Alexander 1 Guerrero, Euler Yoland Bancayrin 1 Holmes, John H. 1 Ibrahim, Rabha Waell 1 Ichinobe, Kunio 1 Isenberg, James A. 1 Jiménez-Garrido, Javier 1 Kobayashi, Takao 1 Koike, Minoru 1 Kostov, Vladimir Petrov 1 Kubo, Akisato 1 Kurogi, Kenji 1 Laurent, Yves 1 LeFloch, Philippe Gerard 1 Li, Fengbai 1 Łysik, Grzegorz 1 Madi, Nour Said 1 Malek, Sabrine 1 Manadai, Takeshi 1 Monteiro Fernandes, Maria Teresa de Lemos 1 Ōuchi, Sunao 1 Podhajecka, Bożena 1 Pongérard, Patrice 1 Ramis, Jean-Pierre 1 Rasoamanana, Jean-Marc 1 Richard, Christoph 1 Roque, Marian P. 1 Stenger, Cindy 1 Taglialatela, Giovanni 1 Tkacz, Bożena 1 Tolentino, Mark Anthony C. 1 Uryu, Hitoshi 1 Wagschal, Claude 1 Yamazaki, Susumu 1 Yamazaki, Taeko
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Cited in 39 Serials

 24 Publications of the Research Institute for Mathematical Sciences, Kyoto University 13 Proceedings of the Japan Academy. Series A 10 Journal of Dynamical and Control Systems 9 Journal of Differential Equations 4 Journal of Mathematical Analysis and Applications 4 Journal of the Mathematical Society of Japan 4 Tokyo Journal of Mathematics 4 Abstract and Applied Analysis 3 Annales de l’Institut Fourier 3 Funkcialaj Ekvacioj. Serio Internacia 3 Mathematische Annalen 3 Zeitschrift für Analysis und ihre Anwendungen 3 Advances in Difference Equations 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Proceedings of the American Mathematical Society 2 Results in Mathematics 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Discrete Mathematics 1 Journal of Mathematical Physics 1 Arkiv för Matematik 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Nagoya Mathematical Journal 1 Asymptotic Analysis 1 The Journal of Geometric Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Mathematical Physics, Analysis and Geometry 1 Annales Henri Poincaré 1 International Journal of Geometric Methods in Modern Physics 1 European Journal of Pure and Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Arnold Mathematical Journal
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Cited in 20 Fields

 111 Partial differential equations (35-XX) 7 Sequences, series, summability (40-XX) 6 Ordinary differential equations (34-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Difference and functional equations (39-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Integral transforms, operational calculus (44-XX) 3 Special functions (33-XX) 3 Functional analysis (46-XX) 2 Combinatorics (05-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX)