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Vaaler, Jeffrey D.

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Author ID: vaaler.jeffrey-d Recent zbMATH articles by "Vaaler, Jeffrey D."
Published as: Vaaler, Jeffrey D.; Vaaler, J. D.; Vaaler, J.; Vaaler, Jeffrey
External Links: MGP
Documents Indexed: 69 Publications since 1975, including 2 Books

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 731 times in 516 Documents Cited by Year
Some extremal functions in Fourier analysis. Zbl 0575.42003
Vaaler, Jeffrey D.
139
1985
On Siegel’s lemma. Zbl 0533.10030
Bombieri, E.; Vaaler, J.
111
1983
A geometric inequality with applications to linear forms. Zbl 0465.52011
Vaaler, Jeffrey D.
40
1979
A class of extremal functions for the Fourier transform. Zbl 0483.42007
Graham, S. W.; Vaaler, Jeffrey D.
32
1981
Counting algebraic numbers with large height. II. Zbl 1215.11100
Masser, David; Vaaler, Jeffrey D.
30
2007
The Beurling-Selberg extremal functions for a ball in Euclidean space. Zbl 0859.30029
Holt, Jeffrey J.; Vaaler, Jeffrey D.
28
1996
Estimates for partial sums of continued fraction partial quotients. Zbl 0589.10056
Diamond, Harold G.; Vaaler, Jeffrey D.
28
1986
The distribution of values of Mahler’s measure. Zbl 0986.11017
Chern, S. J.; Vaaler, J. D.
24
2001
Some trigonometric extremal functions and Erdős-Turán type inequalities. Zbl 0930.42001
Li, Xian-Jin; Vaaler, Jeffrey D.
21
1999
Note on a Diophantine inequality in several variables. Zbl 0963.11039
Barton, Jeffrey T.; Montgomery, Hugh L.; Vaaler, Jeffrey D.
20
2001
Gaussian subordination for the Beurling-Selberg extremal problem. Zbl 1276.41018
Carneiro, Emanuel; Littmann, Friedrich; Vaaler, Jeffrey D.
20
2013
On the metric theory of diophantine approximation. Zbl 0352.10026
Vaaler, Jeffrey D.
19
1978
A local Riemann hypothesis. I. Zbl 0991.11022
Bump, Daniel; Choi, Kwok-Kwong; Kurlberg, Pär; Vaaler, Jeffrey
19
2000
Some extremal functions in Fourier analysis. II. Zbl 1207.41013
Carneiro, Emanuel; Vaaler, Jeffrey D.
17
2010
Counting algebraic numbers with large height. I. Zbl 1211.11115
Masser, David; Vaaler, Jeffrey D.
17
2008
Some extremal functions in Fourier analysis. III. Zbl 1183.41020
Carneiro, Emanuel; Vaaler, Jeffrey D.
15
2010
Perturbing polynomials with all their roots on the unit circle. Zbl 0909.12003
Mossinghoff, Michael J.; Pinner, Christopher G.; Vaaler, Jeffrey D.
12
1998
The best constant in Siegel’s Lemma. Zbl 1034.11038
Vaaler, Jeffrey D.
10
2003
Polynomials with low height and prescribed vanishing. Zbl 0629.10024
Bombieri, Enrico; Vaaler, Jeffrey D.
9
1987
Effective measures of irrationality for cubic extensions of number fields. Zbl 0879.11035
Bombieri, E.; van der Poorten, Alfred J.; Vaaler, J. D.
8
1996
Heights on groups and small multiplicative dependencies. Zbl 1295.11117
Vaaler, Jeffrey D.
8
2014
A Banach space determined by the Weil height. Zbl 1228.11101
Allcock, Daniel; Vaaler, Jeffrey D.
8
2009
Diophantine approximation in projective space. Zbl 0933.11036
Choi, Kwok-Kwong; Vaaler, Jeffrey D.
7
1999
Small zeros of quadratic forms over number fields. Zbl 0617.10015
Vaaler, Jeffrey D.
7
1987
Inequalities for heights of algebraic subspaces and the Thue-Siegel principle. Zbl 0722.11033
Struppeck, Thomas; Vaaler, Jeffrey D.
7
1990
Best uniform approximation by linear fractional transformations. Zbl 0421.41015
Bennett, Colin; Rudnick, Karl; Vaaler, Jeffrey D.
6
1979
Estimates for Mahler’s measure of a linear form. Zbl 1082.11067
Rodriguez-Villegas, Fernando; Toledano, Ricardo; Vaaler, Jeffrey D.
6
2004
The least nonsplit prime in Galois extensions of \({\mathbb{Q}}\). Zbl 0963.11066
Vaaler, Jeffrey D.; Voloch, José Felipe
5
2000
The number of irreducible factors of a polynomial. I. Zbl 0787.11045
Pinner, Christopher G.; Vaaler, Jeffrey D.
5
1993
Sums of products of fractional parts. Zbl 1327.11046
Lê, Thái Hoàng; Vaaler, Jeffrey D.
5
2015
Refinements of the Erdős-Turán inequality. Zbl 0787.11031
Vaaler, Jeffrey D.
4
1993
Small solutions to inhomogeneous linear equations over number fields. Zbl 0785.11013
O’Leary, Robbin; Vaaler, Jeffrey D.
4
1993
A note on generators of number fields. Zbl 1307.11108
Vaaler, Jeffrey D.; Widmer, Martin
4
2013
Multiplicative functions and small divisors. II. Zbl 0664.10025
Alladi, K.; Erdős, Paul; Vaaler, J. D.
4
1989
Extremal functions for the Fourier transform and the large sieve. Zbl 0552.10028
Graham, S. W.; Vaaler, Jeffrey D.
4
1984
Self-inversive polynomials with all zeros on the unit circle. Zbl 1334.11017
Sinclair, Christopher D.; Vaaler, Jeffrey D.
4
2008
Gauss sums and Fourier analysis on multiplicative subgroups of Z/q. Zbl 0515.10032
Diamond, Harold G.; Gerth, Frank III; Vaaler, Jeffrey D.
3
1983
Bounds for solutions of systems of linear equations. Zbl 0466.10022
Vaaler, Jeffrey D.; van der Poorten, A. J.
3
1982
Number fields without small generators. Zbl 1371.11141
Vaaler, Jeffrey D.; Widmer, Martin
3
2015
On linear forms and Diophantine approximation. Zbl 0466.10021
Vaaler, Jeffrey D.
2
1980
Small zeros of quadratic forms over number fields. II. Zbl 0674.10018
Vaaler, Jeffrey D.
2
1989
Multiplicative functions and small divisors. Zbl 0626.10004
Alladi, K.; Erdős, Paul; Vaaler, J. D.
2
1987
On the decomposition of vectors over number fields. Zbl 0772.11018
Burger, Edward B.; Vaaler, Jeffrey D.
2
1993
A Tauberian theorem related to Weyl’s criterion. Zbl 0342.10033
Vaaler, Jeffrey D.
1
1977
Generalizations of Gonçalves’ inequality. Zbl 1126.30006
Borwein, Peter; Mossinghoff, Michael J.; Vaaler, Jeffrey D.
1
2007
A further generalization of Hilbert’s inequality. Zbl 0964.11039
Montgomery, Hugh L.; Vaaler, Jeffrey D.
1
1999
Weakly quasisymmetric embeddings of R into C. Zbl 0632.30026
McKemie, M. Jean; Vaaler, Jeffrey D.
1
1987
Multiplicatively badly approximable matrices in fields of power series. Zbl 1325.11064
Lê, Thái Hoàng; Vaaler, Jeffrey D.
1
2015
Heights, regulators and Schinzel’s determinant inequality. Zbl 1346.11041
Akhtari, Shabnam; Vaaler, Jeffrey D.
1
2016
On a problem of Saff and Varga concerning best rational approximation. Zbl 0368.41027
Bennett, Colin; Rudnick, Karl; Vaaler, Jeffrey D.
1
1977
Heights, regulators and Schinzel’s determinant inequality. Zbl 1346.11041
Akhtari, Shabnam; Vaaler, Jeffrey D.
1
2016
Sums of products of fractional parts. Zbl 1327.11046
Lê, Thái Hoàng; Vaaler, Jeffrey D.
5
2015
Number fields without small generators. Zbl 1371.11141
Vaaler, Jeffrey D.; Widmer, Martin
3
2015
Multiplicatively badly approximable matrices in fields of power series. Zbl 1325.11064
Lê, Thái Hoàng; Vaaler, Jeffrey D.
1
2015
Heights on groups and small multiplicative dependencies. Zbl 1295.11117
Vaaler, Jeffrey D.
8
2014
Gaussian subordination for the Beurling-Selberg extremal problem. Zbl 1276.41018
Carneiro, Emanuel; Littmann, Friedrich; Vaaler, Jeffrey D.
20
2013
A note on generators of number fields. Zbl 1307.11108
Vaaler, Jeffrey D.; Widmer, Martin
4
2013
Some extremal functions in Fourier analysis. II. Zbl 1207.41013
Carneiro, Emanuel; Vaaler, Jeffrey D.
17
2010
Some extremal functions in Fourier analysis. III. Zbl 1183.41020
Carneiro, Emanuel; Vaaler, Jeffrey D.
15
2010
A Banach space determined by the Weil height. Zbl 1228.11101
Allcock, Daniel; Vaaler, Jeffrey D.
8
2009
Counting algebraic numbers with large height. I. Zbl 1211.11115
Masser, David; Vaaler, Jeffrey D.
17
2008
Self-inversive polynomials with all zeros on the unit circle. Zbl 1334.11017
Sinclair, Christopher D.; Vaaler, Jeffrey D.
4
2008
Counting algebraic numbers with large height. II. Zbl 1215.11100
Masser, David; Vaaler, Jeffrey D.
30
2007
Generalizations of Gonçalves’ inequality. Zbl 1126.30006
Borwein, Peter; Mossinghoff, Michael J.; Vaaler, Jeffrey D.
1
2007
Estimates for Mahler’s measure of a linear form. Zbl 1082.11067
Rodriguez-Villegas, Fernando; Toledano, Ricardo; Vaaler, Jeffrey D.
6
2004
The best constant in Siegel’s Lemma. Zbl 1034.11038
Vaaler, Jeffrey D.
10
2003
The distribution of values of Mahler’s measure. Zbl 0986.11017
Chern, S. J.; Vaaler, J. D.
24
2001
Note on a Diophantine inequality in several variables. Zbl 0963.11039
Barton, Jeffrey T.; Montgomery, Hugh L.; Vaaler, Jeffrey D.
20
2001
A local Riemann hypothesis. I. Zbl 0991.11022
Bump, Daniel; Choi, Kwok-Kwong; Kurlberg, Pär; Vaaler, Jeffrey
19
2000
The least nonsplit prime in Galois extensions of \({\mathbb{Q}}\). Zbl 0963.11066
Vaaler, Jeffrey D.; Voloch, José Felipe
5
2000
Some trigonometric extremal functions and Erdős-Turán type inequalities. Zbl 0930.42001
Li, Xian-Jin; Vaaler, Jeffrey D.
21
1999
Diophantine approximation in projective space. Zbl 0933.11036
Choi, Kwok-Kwong; Vaaler, Jeffrey D.
7
1999
A further generalization of Hilbert’s inequality. Zbl 0964.11039
Montgomery, Hugh L.; Vaaler, Jeffrey D.
1
1999
Perturbing polynomials with all their roots on the unit circle. Zbl 0909.12003
Mossinghoff, Michael J.; Pinner, Christopher G.; Vaaler, Jeffrey D.
12
1998
The Beurling-Selberg extremal functions for a ball in Euclidean space. Zbl 0859.30029
Holt, Jeffrey J.; Vaaler, Jeffrey D.
28
1996
Effective measures of irrationality for cubic extensions of number fields. Zbl 0879.11035
Bombieri, E.; van der Poorten, Alfred J.; Vaaler, J. D.
8
1996
The number of irreducible factors of a polynomial. I. Zbl 0787.11045
Pinner, Christopher G.; Vaaler, Jeffrey D.
5
1993
Refinements of the Erdős-Turán inequality. Zbl 0787.11031
Vaaler, Jeffrey D.
4
1993
Small solutions to inhomogeneous linear equations over number fields. Zbl 0785.11013
O’Leary, Robbin; Vaaler, Jeffrey D.
4
1993
On the decomposition of vectors over number fields. Zbl 0772.11018
Burger, Edward B.; Vaaler, Jeffrey D.
2
1993
Inequalities for heights of algebraic subspaces and the Thue-Siegel principle. Zbl 0722.11033
Struppeck, Thomas; Vaaler, Jeffrey D.
7
1990
Multiplicative functions and small divisors. II. Zbl 0664.10025
Alladi, K.; Erdős, Paul; Vaaler, J. D.
4
1989
Small zeros of quadratic forms over number fields. II. Zbl 0674.10018
Vaaler, Jeffrey D.
2
1989
Polynomials with low height and prescribed vanishing. Zbl 0629.10024
Bombieri, Enrico; Vaaler, Jeffrey D.
9
1987
Small zeros of quadratic forms over number fields. Zbl 0617.10015
Vaaler, Jeffrey D.
7
1987
Multiplicative functions and small divisors. Zbl 0626.10004
Alladi, K.; Erdős, Paul; Vaaler, J. D.
2
1987
Weakly quasisymmetric embeddings of R into C. Zbl 0632.30026
McKemie, M. Jean; Vaaler, Jeffrey D.
1
1987
Estimates for partial sums of continued fraction partial quotients. Zbl 0589.10056
Diamond, Harold G.; Vaaler, Jeffrey D.
28
1986
Some extremal functions in Fourier analysis. Zbl 0575.42003
Vaaler, Jeffrey D.
139
1985
Extremal functions for the Fourier transform and the large sieve. Zbl 0552.10028
Graham, S. W.; Vaaler, Jeffrey D.
4
1984
On Siegel’s lemma. Zbl 0533.10030
Bombieri, E.; Vaaler, J.
111
1983
Gauss sums and Fourier analysis on multiplicative subgroups of Z/q. Zbl 0515.10032
Diamond, Harold G.; Gerth, Frank III; Vaaler, Jeffrey D.
3
1983
Bounds for solutions of systems of linear equations. Zbl 0466.10022
Vaaler, Jeffrey D.; van der Poorten, A. J.
3
1982
A class of extremal functions for the Fourier transform. Zbl 0483.42007
Graham, S. W.; Vaaler, Jeffrey D.
32
1981
On linear forms and Diophantine approximation. Zbl 0466.10021
Vaaler, Jeffrey D.
2
1980
A geometric inequality with applications to linear forms. Zbl 0465.52011
Vaaler, Jeffrey D.
40
1979
Best uniform approximation by linear fractional transformations. Zbl 0421.41015
Bennett, Colin; Rudnick, Karl; Vaaler, Jeffrey D.
6
1979
On the metric theory of diophantine approximation. Zbl 0352.10026
Vaaler, Jeffrey D.
19
1978
A Tauberian theorem related to Weyl’s criterion. Zbl 0342.10033
Vaaler, Jeffrey D.
1
1977
On a problem of Saff and Varga concerning best rational approximation. Zbl 0368.41027
Bennett, Colin; Rudnick, Karl; Vaaler, Jeffrey D.
1
1977
all top 5

Cited by 556 Authors

26 Vaaler, Jeffrey D.
15 Carneiro, Emanuel
13 Dubickas, Artūras
12 Fukshansky, Lenny
12 Littmann, Friedrich
8 Bombieri, Enrico
8 Kaliada, Dzianis
8 Widmer, Martin
7 Rivat, Joël
6 Aliev, Iskander M.
6 Gaudron, Éric
6 Gonçalves, Felipe M.
6 Götze, Friedrich W.
6 Kesseböhmer, Marc
6 Shparlinski, Igor E.
6 Zhai, Wenguang
5 Haynes, Alan K.
5 Milinovich, Micah B.
5 Nowak, Werner Georg
5 Schmidt, Wolfgang M.
5 Soundararajan, Kannan
5 Thunder, Jeffrey Lin
4 Babenko, Aleksandr Grigor’evich
4 Brauchart, Johann S.
4 Chandee, Vorrapan
4 Grabner, Peter J.
4 Harman, Glyn
4 Henk, Martin
4 Rémond, Gaël
4 Roy, Damien
4 Samuels, Charles L.
4 Schindler, Tanja I.
4 Sinclair, Christopher D.
4 van der Poorten, Alfred J.
4 Yattselev, Maxim L.
4 Zaporozhets, Dmitry
3 Akhtari, Shabnam
3 Baier, Stephan
3 Baker, Roger C.
3 Ballaÿ, François
3 Bordellès, Olivier
3 Chan, Wai Kiu
3 Chirre, Andrés
3 De Loera, Jesús A.
3 Deikalova, Marina V.
3 Drmota, Michael
3 Erdélyi, Tamás
3 Evertse, Jan-Hendrik
3 Fili, Paul A.
3 Ganzburg, Michael Iosifovich
3 Jankauskas, Jonas
3 Lê, Thái Hoàng
3 Madritsch, Manfred G.
3 Mauduit, Christian
3 Montgomery, Hugh Lowell
3 Mossinghoff, Michael J.
3 Nakada, Hitoshi
3 Pajor, Alain
3 Schlickewei, Hans Peter
3 Soulé, Christophe
3 Tenenbaum, Gérald
3 Voloch, José Felipe
3 Wang, Yingnan
3 Young, Matthew P.
3 Yu, Kunrui
3 Zaharescu, Alexandru
2 Aaronson, Jon
2 Aistleitner, Christoph
2 Ball, Keith Martin
2 Barroero, Fabrizio
2 Barthe, Franck
2 Beresnevich, Victor V.
2 Berkes, István
2 Cao, Xiaodong
2 Cochrane, Todd
2 Coffey, Mark William
2 Cohn, Henry Lee
2 Corvaja, Pietro
2 David, Sinnou
2 de la Bretèche, Régis
2 Debruyne, Gregory
2 Derenthal, Ulrich
2 Dick, Josef
2 Dresden, Gregory P. B.
2 Fomenko, Oleg Mstislavovich
2 Frei, Christopher
2 Fuchs, Clemens
2 Gadre, Vaibhav S.
2 German, Oleg N.
2 Ghosh, Anish
2 Grizzard, Robert
2 Gunther, Joseph
2 Gusakova, Anna Grigorevna
2 Hare, Kevin G.
2 Hejhal, Dennis A.
2 Heuberger, Clemens
2 Higashitani, Akihiro
2 Holt, Jeffrey J.
2 Horváth, Lajos
2 Huang, Qingzhong
...and 456 more Authors
all top 5

Cited in 148 Serials

60 Journal of Number Theory
23 Transactions of the American Mathematical Society
19 Monatshefte für Mathematik
19 Proceedings of the American Mathematical Society
15 Mathematika
15 International Journal of Number Theory
12 Journal of Approximation Theory
11 Compositio Mathematica
10 Rocky Mountain Journal of Mathematics
10 Acta Arithmetica
10 Advances in Mathematics
9 Mathematics of Computation
9 Mathematische Zeitschrift
8 Journal de Théorie des Nombres de Bordeaux
8 Proceedings of the Steklov Institute of Mathematics
6 Bulletin of the Australian Mathematical Society
6 Journal of Mathematical Analysis and Applications
6 Mathematical Proceedings of the Cambridge Philosophical Society
6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
6 Acta Mathematica Hungarica
6 Constructive Approximation
6 Bulletin of the American Mathematical Society. New Series
6 Indagationes Mathematicae. New Series
5 Communications in Mathematical Physics
5 Inventiones Mathematicae
5 Mathematische Annalen
5 Discrete & Computational Geometry
5 Experimental Mathematics
5 The Ramanujan Journal
4 Duke Mathematical Journal
4 Journal of Functional Analysis
4 Manuscripta Mathematica
4 Journal of the American Mathematical Society
4 Forum Mathematicum
4 Chebyshevskiĭ Sbornik
3 Lithuanian Mathematical Journal
3 Acta Mathematica
3 Annales de l’Institut Fourier
3 Applied Mathematics and Computation
3 Archiv der Mathematik
3 Commentarii Mathematici Helvetici
3 Journal für die Reine und Angewandte Mathematik
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Proceedings of the London Mathematical Society. Third Series
3 Theoretical Computer Science
3 Advances in Applied Mathematics
3 Journal of Complexity
3 Geometric and Functional Analysis. GAFA
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Journal of Mathematical Sciences (New York)
3 The Journal of Fourier Analysis and Applications
3 LMS Journal of Computation and Mathematics
3 Journal of the European Mathematical Society (JEMS)
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Stochastics and Dynamics
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Research in Number Theory
2 Israel Journal of Mathematics
2 Journal d’Analyse Mathématique
2 Mathematical Notes
2 Functiones et Approximatio. Commentarii Mathematici
2 Mathematische Nachrichten
2 Results in Mathematics
2 Ergodic Theory and Dynamical Systems
2 Journal of Theoretical Probability
2 The Journal of Geometric Analysis
2 Stochastic Processes and their Applications
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 SIAM Journal on Optimization
2 Annals of Mathematics. Second Series
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Research in the Mathematical Sciences
1 American Mathematical Monthly
1 Applicable Analysis
1 Discrete Mathematics
1 Houston Journal of Mathematics
1 Linear and Multilinear Algebra
1 Nonlinearity
1 Periodica Mathematica Hungarica
1 Chaos, Solitons and Fractals
1 Beiträge zur Algebra und Geometrie
1 The Annals of Statistics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Canadian Journal of Mathematics
1 Dissertationes Mathematicae
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Publications Mathématiques
1 Journal of Algebra
1 Journal of Combinatorial Theory. Series A
1 Journal of Pure and Applied Algebra
1 Mathematics of Operations Research
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Nagoya Mathematical Journal
1 Numerische Mathematik
1 Proceedings of the Japan Academy. Series A
1 Rendiconti del Seminario Matematico della Università di Padova
...and 48 more Serials
all top 5

Cited in 45 Fields

375 Number theory (11-XX)
49 Algebraic geometry (14-XX)
43 Approximations and expansions (41-XX)
43 Harmonic analysis on Euclidean spaces (42-XX)
38 Functions of a complex variable (30-XX)
37 Convex and discrete geometry (52-XX)
36 Probability theory and stochastic processes (60-XX)
26 Functional analysis (46-XX)
23 Dynamical systems and ergodic theory (37-XX)
22 Special functions (33-XX)
21 Field theory and polynomials (12-XX)
17 Combinatorics (05-XX)
17 Real functions (26-XX)
15 Numerical analysis (65-XX)
14 Linear and multilinear algebra; matrix theory (15-XX)
8 Measure and integration (28-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Computer science (68-XX)
8 Operations research, mathematical programming (90-XX)
7 Sequences, series, summability (40-XX)
7 Integral transforms, operational calculus (44-XX)
6 Operator theory (47-XX)
6 Information and communication theory, circuits (94-XX)
5 Commutative algebra (13-XX)
5 Group theory and generalizations (20-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Potential theory (31-XX)
4 Partial differential equations (35-XX)
4 Statistics (62-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Topological groups, Lie groups (22-XX)
3 Abstract harmonic analysis (43-XX)
3 General topology (54-XX)
3 Quantum theory (81-XX)
2 Associative rings and algebras (16-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Geometry (51-XX)
2 Manifolds and cell complexes (57-XX)
2 Mechanics of particles and systems (70-XX)
2 Systems theory; control (93-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Category theory; homological algebra (18-XX)
1 Algebraic topology (55-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year