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Macdonald, Ian Grant (b. 1928 d. 2023)

Author ID: macdonald.ian-grant Recent zbMATH articles by "Macdonald, Ian Grant"
Published as: Macdonald, I. G.; Macdonald, Ian G.; MacDonald, I. G.; Macdonald, Ian Grant; Macdonald, Ian
External Links: MGP · Wikidata · GND · IdRef

Publications by Year

Citations contained in zbMATH Open

61 Publications have been cited 7,642 times in 7,040 Documents Cited by Year
Introduction to commutative algebra. Zbl 0175.03601
Atiyah, Michael F.; Macdonald, I. G.
1969
Symmetric functions and Hall polynomials. 2nd ed. Zbl 0824.05059
Macdonald, Ian Grant
1995
Symmetric functions and Hall polynomials. Zbl 0487.20007
Macdonald, I. G.
1979
Symmetric functions and Hall polynomials. 2nd ed. Zbl 0899.05068
Macdonald, I. G.
830
1998
Affine root systems and Dedekind’s \(\eta\)-function. Zbl 0244.17005
Macdonald, I. G.
190
1972
Affine Hecke algebras and orthogonal polynomials. Zbl 1024.33001
Macdonald, I. G.
144
2003
Schubert polynomials. Zbl 0784.05061
Macdonald, I. G.
121
1991
Symmetric products of an algebraic curve. Zbl 0121.38003
Macdonald, I. G.
104
1962
Symmetric functions and Hall polynomials. With contributions by A. V. Zelevinsky. Reprint of the 1998 2nd edition. Zbl 1332.05002
Macdonald, I. G.
97
2015
Secondary representation of modules over a commutative ring. Zbl 0271.13001
Macdonald, I. G.
93
1973
Spherical functions on a group of \(p\)-adic type. Zbl 0302.43018
Macdonald, I. G.
88
1971
Some conjectures for root systems. Zbl 0498.17006
Macdonald, I. G.
86
1982
Orthogonal polynomials associated with root systems. Zbl 1032.33010
Macdonald, Ian G.
85
2000
The Poincaré series of a Coxeter group. Zbl 0286.20062
Macdonald, I. G.
80
1972
Polynomials associated with finite cell-complexes. Zbl 0216.45205
Macdonald, I. G.
78
1971
Introduction to commutative algebra. Student economy edition. Zbl 1351.13002
Atiyah, Michael F.; Macdonald, I. G.
75
2016
Schur functions: Theme and variations. Zbl 0889.05073
Macdonald, I. G.
75
1992
A new class of symmetric functions. Zbl 0962.05507
Macdonald, I. G.
74
1988
Affine Hecke algebras and orthogonal polynomials. Zbl 0883.33008
Macdonald, I. G.
63
1996
Symmetric functions and orthogonal polynomials. Zbl 0887.05053
Macdonald, I. G.
59
1998
The Poincaré polynomial of a symmetric product. Zbl 0121.39601
Macdonald, I. G.
54
1962
Lectures on Lie groups and Lie algebras. Zbl 0832.22001
Carter, Roger; Segal, Graeme; Macdonald, Ian
37
1995
Duality over complete local rings. Zbl 0108.26401
Macdonald, I. G.
37
1962
The volume of a compact Lie group. Zbl 0426.22009
Macdonald, I. G.
36
1980
On the degrees of the irreducible representations of symmetric groups. Zbl 0219.20008
Macdonald, I. G.
34
1971
An elementary proof of the non-vanishing of certain local cohomology modules. Zbl 0235.14004
Macdonald, I. G.; Sharp, Rodney Y.
34
1972
Cohomology of groups. Zbl 1494.20079
Atiyah, M. F.; Wall, C. T. C.
34
1967
Polynomial functors and wreath products. Zbl 0455.18002
Macdonald, I. G.
31
1980
Numbers of conjugacy classes in some finite classical groups. Zbl 0445.20029
Macdonald, I. G.
28
1981
Some irreducible representations of Weyl groups. Zbl 0251.20043
Macdonald, I. G.
28
1972
Orthogonal polynomials associated with root systems. Zbl 0699.42010
Macdonald, I. G.
27
1990
Commuting differential operators and zonal spherical functions. Zbl 0629.43010
Macdonald, I. G.
25
1987
A formal identity for affine root systems. Zbl 1071.33016
Macdonald, I. G.
23
2003
The volume of a lattice polyhedron. Zbl 0126.18103
Macdonald, I. G.
22
1963
Spherical functions on a \(p\)-adic Chevalley group. Zbl 0273.22012
Macdonald, I. G.
14
1968
Symmetric functions and Hall polynomials. Transl. from the English. (Симметрические функции и многочлены Холла.) Zbl 0672.20007
Macdonald, I. G.
13
1985
Introduction to commutative algebra. (Vvedenie v kommutativnuju algebru.) Übersetzung aus dem Englischen von Ju. I. Manin. Zbl 0238.13001
Atiyah, Michael F.; Macdonald, I. G.
12
1972
Some computations for \(m\)-dimensional partitions. Zbl 0157.03103
Atkin, A. O. L.; Bratley, P.; Macdonald, I. G.; McKay, J. K. S.
11
1967
Zeta functions attached to finite general linear groups. Zbl 0417.14016
Macdonald, I. G.
10
1980
On the Adem relations. Zbl 0506.55015
Bullett, S. R.; MacDonald, I. G.
10
1982
Jordan algebras with three generators. Zbl 0094.25003
Macdonald, I. G.
10
1960
Algebraic geometry. Introduction to schemes. Zbl 0172.22401
Macdonald, I. G.
9
1968
An elementary proof of a q-binomial identity. Zbl 0723.05006
Macdonald, I. G.
9
1989
Common tangents to four unit balls in \(\mathbb{R}^3\). Zbl 0989.51013
Macdonald, I. G.; Pach, J.; Theobald, T.
8
2001
Constant term identities, orthogonal polynomials and affine Hecke algebras. Zbl 0908.33010
Macdonald, Ian G.
5
1998
Semi-simple algebraic groups. Zbl 1494.20075
Kneser, M.
5
1967
Regular simplexes with integral vertices. Zbl 0628.10017
Macdonald, I. G.
4
1987
Kac-Moody-algebras. Zbl 0582.17010
Macdonald, I. G.
4
1986
Affine Lie algebras and modular forms. Zbl 0472.17006
MacDonald, I. G.
4
1981
Some conjectures for root systems and finite Coxeter groups. Zbl 0515.17004
Macdonald, I. G.
4
1981
Algebraic structure of Lie groups. Zbl 0499.22017
Macdonald, I. G.
3
1979
Spherical functions on a group of \(p\)-adic type. Zbl 0314.43018
Macdonald, I. G.
2
1973
Some enumerative formulae for algebraic curves. Zbl 0085.36401
Macdonald, I. G.
2
1958
Some sign properties of symmetric functions. Zbl 0695.20007
Hunter, D. B.; Macdonald, I. G.
2
1989
Harmonic analysis on semi-simple groups. Zbl 0223.43010
Macdonald, I. G.
2
1971
Affine root systems and Dedekind’s \(\eta\)-function. Zbl 0253.17009
Macdonald, I. G.
2
1972
On the degrees of the irreducible representations of finite Coxeter groups. Zbl 0253.20016
Macdonald, I. G.
2
1973
Spherical functions on groups of p-adic type. Zbl 0338.43016
Macdonald, I. G.
1
1971
The algebra of partitions. Zbl 0564.20006
Macdonald, I. G.
1
1984
The algebra of partitions (reprint). Zbl 1134.05102
Macdonald, I. G.
1
2006
Lie groups and combinatorics. Zbl 0488.22042
Macdonald, I. G.
1
1982
Introduction to commutative algebra. Student economy edition. Zbl 1351.13002
Atiyah, Michael F.; Macdonald, I. G.
75
2016
Symmetric functions and Hall polynomials. With contributions by A. V. Zelevinsky. Reprint of the 1998 2nd edition. Zbl 1332.05002
Macdonald, I. G.
97
2015
The algebra of partitions (reprint). Zbl 1134.05102
Macdonald, I. G.
1
2006
Affine Hecke algebras and orthogonal polynomials. Zbl 1024.33001
Macdonald, I. G.
144
2003
A formal identity for affine root systems. Zbl 1071.33016
Macdonald, I. G.
23
2003
Common tangents to four unit balls in \(\mathbb{R}^3\). Zbl 0989.51013
Macdonald, I. G.; Pach, J.; Theobald, T.
8
2001
Orthogonal polynomials associated with root systems. Zbl 1032.33010
Macdonald, Ian G.
85
2000
Symmetric functions and Hall polynomials. 2nd ed. Zbl 0899.05068
Macdonald, I. G.
830
1998
Symmetric functions and orthogonal polynomials. Zbl 0887.05053
Macdonald, I. G.
59
1998
Constant term identities, orthogonal polynomials and affine Hecke algebras. Zbl 0908.33010
Macdonald, Ian G.
5
1998
Affine Hecke algebras and orthogonal polynomials. Zbl 0883.33008
Macdonald, I. G.
63
1996
Symmetric functions and Hall polynomials. 2nd ed. Zbl 0824.05059
Macdonald, Ian Grant
1995
Lectures on Lie groups and Lie algebras. Zbl 0832.22001
Carter, Roger; Segal, Graeme; Macdonald, Ian
37
1995
Schur functions: Theme and variations. Zbl 0889.05073
Macdonald, I. G.
75
1992
Schubert polynomials. Zbl 0784.05061
Macdonald, I. G.
121
1991
Orthogonal polynomials associated with root systems. Zbl 0699.42010
Macdonald, I. G.
27
1990
An elementary proof of a q-binomial identity. Zbl 0723.05006
Macdonald, I. G.
9
1989
Some sign properties of symmetric functions. Zbl 0695.20007
Hunter, D. B.; Macdonald, I. G.
2
1989
A new class of symmetric functions. Zbl 0962.05507
Macdonald, I. G.
74
1988
Commuting differential operators and zonal spherical functions. Zbl 0629.43010
Macdonald, I. G.
25
1987
Regular simplexes with integral vertices. Zbl 0628.10017
Macdonald, I. G.
4
1987
Kac-Moody-algebras. Zbl 0582.17010
Macdonald, I. G.
4
1986
Symmetric functions and Hall polynomials. Transl. from the English. (Симметрические функции и многочлены Холла.) Zbl 0672.20007
Macdonald, I. G.
13
1985
The algebra of partitions. Zbl 0564.20006
Macdonald, I. G.
1
1984
Some conjectures for root systems. Zbl 0498.17006
Macdonald, I. G.
86
1982
On the Adem relations. Zbl 0506.55015
Bullett, S. R.; MacDonald, I. G.
10
1982
Lie groups and combinatorics. Zbl 0488.22042
Macdonald, I. G.
1
1982
Numbers of conjugacy classes in some finite classical groups. Zbl 0445.20029
Macdonald, I. G.
28
1981
Affine Lie algebras and modular forms. Zbl 0472.17006
MacDonald, I. G.
4
1981
Some conjectures for root systems and finite Coxeter groups. Zbl 0515.17004
Macdonald, I. G.
4
1981
The volume of a compact Lie group. Zbl 0426.22009
Macdonald, I. G.
36
1980
Polynomial functors and wreath products. Zbl 0455.18002
Macdonald, I. G.
31
1980
Zeta functions attached to finite general linear groups. Zbl 0417.14016
Macdonald, I. G.
10
1980
Symmetric functions and Hall polynomials. Zbl 0487.20007
Macdonald, I. G.
1979
Algebraic structure of Lie groups. Zbl 0499.22017
Macdonald, I. G.
3
1979
Secondary representation of modules over a commutative ring. Zbl 0271.13001
Macdonald, I. G.
93
1973
Spherical functions on a group of \(p\)-adic type. Zbl 0314.43018
Macdonald, I. G.
2
1973
On the degrees of the irreducible representations of finite Coxeter groups. Zbl 0253.20016
Macdonald, I. G.
2
1973
Affine root systems and Dedekind’s \(\eta\)-function. Zbl 0244.17005
Macdonald, I. G.
190
1972
The Poincaré series of a Coxeter group. Zbl 0286.20062
Macdonald, I. G.
80
1972
An elementary proof of the non-vanishing of certain local cohomology modules. Zbl 0235.14004
Macdonald, I. G.; Sharp, Rodney Y.
34
1972
Some irreducible representations of Weyl groups. Zbl 0251.20043
Macdonald, I. G.
28
1972
Introduction to commutative algebra. (Vvedenie v kommutativnuju algebru.) Übersetzung aus dem Englischen von Ju. I. Manin. Zbl 0238.13001
Atiyah, Michael F.; Macdonald, I. G.
12
1972
Affine root systems and Dedekind’s \(\eta\)-function. Zbl 0253.17009
Macdonald, I. G.
2
1972
Spherical functions on a group of \(p\)-adic type. Zbl 0302.43018
Macdonald, I. G.
88
1971
Polynomials associated with finite cell-complexes. Zbl 0216.45205
Macdonald, I. G.
78
1971
On the degrees of the irreducible representations of symmetric groups. Zbl 0219.20008
Macdonald, I. G.
34
1971
Harmonic analysis on semi-simple groups. Zbl 0223.43010
Macdonald, I. G.
2
1971
Spherical functions on groups of p-adic type. Zbl 0338.43016
Macdonald, I. G.
1
1971
Introduction to commutative algebra. Zbl 0175.03601
Atiyah, Michael F.; Macdonald, I. G.
1969
Spherical functions on a \(p\)-adic Chevalley group. Zbl 0273.22012
Macdonald, I. G.
14
1968
Algebraic geometry. Introduction to schemes. Zbl 0172.22401
Macdonald, I. G.
9
1968
Cohomology of groups. Zbl 1494.20079
Atiyah, M. F.; Wall, C. T. C.
34
1967
Some computations for \(m\)-dimensional partitions. Zbl 0157.03103
Atkin, A. O. L.; Bratley, P.; Macdonald, I. G.; McKay, J. K. S.
11
1967
Semi-simple algebraic groups. Zbl 1494.20075
Kneser, M.
5
1967
The volume of a lattice polyhedron. Zbl 0126.18103
Macdonald, I. G.
22
1963
Symmetric products of an algebraic curve. Zbl 0121.38003
Macdonald, I. G.
104
1962
The Poincaré polynomial of a symmetric product. Zbl 0121.39601
Macdonald, I. G.
54
1962
Duality over complete local rings. Zbl 0108.26401
Macdonald, I. G.
37
1962
Jordan algebras with three generators. Zbl 0094.25003
Macdonald, I. G.
10
1960
Some enumerative formulae for algebraic curves. Zbl 0085.36401
Macdonald, I. G.
2
1958
all top 5

Cited by 6,191 Authors

44 Morozov, Alexei Yurievich
43 Borodin, Alexei
37 Jing, Naihuan
36 van Diejen, Jan Felipe
35 Mironov, Andrei D.
32 Drensky, Vesselin
31 Visweswaran, Subramanian
30 Lascoux, Alain
30 Remmel, Jeffrey Brian
30 Thibon, Jean-Yves
29 Bergeron, Nantel
29 Fulman, Jason E.
28 Stanley, Richard Peter
27 Garsia, Adriano M.
27 Lapointe, Luc
27 Nikandish, Reza
27 Pak, Igor
26 Shimozono, Mark
26 Warnaar, S. Ole
25 Ol’shanskiĭ, Grigoriĭ Iosifovich
24 Bogolyubov, Nikolaĭ Mikhaĭlovich
24 Novelli, Jean-Christophe
23 Kirillov, Anatol N.
23 Merca, Mircea
23 Nikmehr, Mohammad Javad
23 Orlov, Aleksandr Yu.
22 Regev, Amitai
21 Harnad, John
21 Petrov, Leonid
20 Gorin, Vadim
20 Kwon, Jae-Hoon
19 Haglund, James
19 Ito, Masahiko
19 Kerov, Sergei V.
19 Loehr, Nicholas A.
19 Sam, Steven V.
19 Stembridge, John R.
19 Sundaram, Sheila
19 Wheeler, Michael
19 Zabrocki, Mike
18 Diaconis, Persi Warren
18 Dobbs, David Earl
18 Emsiz, Erdal
18 Forrester, Peter J.
18 Goulden, Ian P.
18 Li, Chuanzhong
18 Okada, Soichi
18 Panova, Greta
18 Ram, Arun
17 Krattenthaler, Christian Friedrich
17 Lassalle, Michel
17 Lê Thanh Nhàn
17 Morse, Jennifer
17 Okun’kov, Andreĭ Yur’evich
17 Reiner, Victor
17 Sharp, Rodney Y.
17 Van der Jeugt, Joris
17 Van Willigenburg, Stephanie J.
16 Alexandersson, Per
16 Bergeron, François
16 Corwin, Ivan Z.
16 Donkin, Stephen
16 Jackson, David M.
16 Matsumoto, Sho
16 Wang, Weiqiang
16 Weyman, Jerzy M.
15 Ansari-Toroghy, Habibollah
15 Berele, Allan
15 Haiman, Mark D.
15 Hanlon, Phil
15 Milne, Stephen C.
15 Rains, Eric M.
15 Shiraishi, Jun’ichi
15 Wang, Na
14 Akbari, Saieed
14 Corteel, Sylvie
14 Fomin, Sergey Vladimirovich
14 Lenart, Cristian
14 Noumi, Masatoshi
14 Vershik, Anatoliĭ Moiseevich
13 Assaf, Sami H.
13 Dołęga, Maciej
13 Féray, Valentin
13 Finocchiaro, Carmelo Antonio
13 Han, Guo-Niu
13 Heinzer, William J.
13 King, Ronald C.
13 Lecouvey, Cédric
13 Roichman, Yuval
13 Rosas, Mercedes Helena
13 Stokman, Jasper V.
12 Brenti, Francesco
12 Etingof, Pavel Il’ich
12 Giannelli, Eugenio
12 Manivel, Laurent
12 Mathieu, Pierre
12 Opdam, Eric Marcus
12 Orellana, Rosa C.
12 Selvakumar, Krishnan
12 Sergeev, Aleksandr Nikolaevich
...and 6,091 more Authors
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Cited in 512 Serials

515 Journal of Algebra
376 Advances in Mathematics
254 Communications in Algebra
248 Journal of Combinatorial Theory. Series A
203 Journal of Algebraic Combinatorics
195 Transactions of the American Mathematical Society
179 Journal of Pure and Applied Algebra
134 Journal of High Energy Physics
129 Communications in Mathematical Physics
119 Discrete Mathematics
115 Proceedings of the American Mathematical Society
110 Advances in Applied Mathematics
102 European Journal of Combinatorics
102 Journal of Algebra and its Applications
98 Journal of Mathematical Physics
96 Duke Mathematical Journal
92 Nuclear Physics. B
92 Linear Algebra and its Applications
78 Mathematische Zeitschrift
76 Journal of Mathematical Sciences (New York)
74 The Electronic Journal of Combinatorics
73 Letters in Mathematical Physics
73 Inventiones Mathematicae
66 Selecta Mathematica. New Series
62 Séminaire Lotharingien de Combinatoire
61 Algebraic Combinatorics
56 Mathematische Annalen
54 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
52 Journal of Symbolic Computation
52 Algebras and Representation Theory
52 Annals of Combinatorics
49 Compositio Mathematica
49 Transformation Groups
48 Journal of Number Theory
43 Israel Journal of Mathematics
40 Functional Analysis and its Applications
40 Journal of Physics A: Mathematical and Theoretical
39 Journal of Geometry and Physics
38 The Ramanujan Journal
37 Journal of Mathematical Analysis and Applications
37 Theoretical and Mathematical Physics
36 Rocky Mountain Journal of Mathematics
35 Journal of the American Mathematical Society
35 Representation Theory
33 Journal of Functional Analysis
30 Linear and Multilinear Algebra
30 Manuscripta Mathematica
29 Bulletin of the American Mathematical Society. New Series
28 Annales de l’Institut Fourier
26 Mathematical Proceedings of the Cambridge Philosophical Society
26 Physics Letters. B
25 Rendiconti del Seminario Matematico della Università di Padova
25 International Journal of Mathematics
24 Archiv der Mathematik
23 Journal of Statistical Physics
23 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
23 International Journal of Algebra and Computation
22 Probability Theory and Related Fields
22 International Journal of Number Theory
22 Journal of Commutative Algebra
21 Discrete & Computational Geometry
20 Bulletin of the Australian Mathematical Society
20 Journal für die Reine und Angewandte Mathematik
20 Journal of Soviet Mathematics
20 Memoirs of the American Mathematical Society
20 Geometry & Topology
19 Beiträge zur Algebra und Geometrie
18 Publications of the Research Institute for Mathematical Sciences, Kyoto University
18 Indagationes Mathematicae. New Series
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18 Forum of Mathematics, Sigma
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17 Journal of the London Mathematical Society. Second Series
17 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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16 Annales Henri Poincaré
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14 Topology and its Applications
13 Michigan Mathematical Journal
13 Proceedings of the London Mathematical Society. Third Series
13 Algebra Colloquium
13 Turkish Journal of Mathematics
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13 Journal of Statistical Mechanics: Theory and Experiment
12 Glasgow Mathematical Journal
12 Mathematische Nachrichten
12 Nagoya Mathematical Journal
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12 Journal of the European Mathematical Society (JEMS)
12 Random Matrices: Theory and Applications
11 Physics Letters. A
11 Czechoslovak Mathematical Journal
11 Journal of Approximation Theory
11 Tokyo Journal of Mathematics
11 Graphs and Combinatorics
11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
11 St. Petersburg Mathematical Journal
11 Finite Fields and their Applications
...and 412 more Serials
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Cited in 60 Fields

2,530 Combinatorics (05-XX)
1,382 Group theory and generalizations (20-XX)
1,268 Commutative algebra (13-XX)
1,198 Algebraic geometry (14-XX)
878 Nonassociative rings and algebras (17-XX)
758 Associative rings and algebras (16-XX)
664 Number theory (11-XX)
653 Quantum theory (81-XX)
632 Special functions (33-XX)
395 Linear and multilinear algebra; matrix theory (15-XX)
364 Probability theory and stochastic processes (60-XX)
349 Topological groups, Lie groups (22-XX)
253 Statistical mechanics, structure of matter (82-XX)
213 Manifolds and cell complexes (57-XX)
211 Dynamical systems and ergodic theory (37-XX)
188 Category theory; homological algebra (18-XX)
167 Order, lattices, ordered algebraic structures (06-XX)
150 Convex and discrete geometry (52-XX)
143 Algebraic topology (55-XX)
139 Several complex variables and analytic spaces (32-XX)
122 Differential geometry (53-XX)
120 Computer science (68-XX)
106 Abstract harmonic analysis (43-XX)
104 Partial differential equations (35-XX)
102 Field theory and polynomials (12-XX)
101 Global analysis, analysis on manifolds (58-XX)
85 \(K\)-theory (19-XX)
84 Numerical analysis (65-XX)
83 Functional analysis (46-XX)
82 Operator theory (47-XX)
72 General topology (54-XX)
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54 Mathematical logic and foundations (03-XX)
54 Harmonic analysis on Euclidean spaces (42-XX)
52 Statistics (62-XX)
48 Ordinary differential equations (34-XX)
48 Systems theory; control (93-XX)
47 Geometry (51-XX)
38 Approximations and expansions (41-XX)
36 Real functions (26-XX)
27 Integral transforms, operational calculus (44-XX)
23 Mechanics of particles and systems (70-XX)
22 Measure and integration (28-XX)
20 Operations research, mathematical programming (90-XX)
18 Biology and other natural sciences (92-XX)
12 History and biography (01-XX)
11 General algebraic systems (08-XX)
10 General and overarching topics; collections (00-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Sequences, series, summability (40-XX)
6 Potential theory (31-XX)
5 Mechanics of deformable solids (74-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
3 Fluid mechanics (76-XX)
3 Optics, electromagnetic theory (78-XX)
2 Integral equations (45-XX)
2 Classical thermodynamics, heat transfer (80-XX)

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