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Author ID: rota.gian-carlo Recent zbMATH articles by "Rota, Gian-Carlo"
Published as: Rota, Gian-Carlo; Rota, G.-C.; Rota, G. C.; Rota, Gian Carlo; Rota, G-C.
Homepage: http://www-math.mit.edu/~rstan/rota.ps
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
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Co-Authors

61 single-authored
18 Stein, Joel Alvin
16 Metropolis, Nicholas Constantine
6 Barnabei, Marilena
6 Birkhoff, Garrett
6 Brini, Andrea
6 Kung, Joseph P. S.
5 Crapo, Henry H.
5 Doubilet, Peter
5 Joni, S. A.
4 Stanley, Richard Peter
3 Baclawski, Kenneth
3 Berstel, Jean
3 Buchsbaum, David A.
3 Choffrut, Christian
3 Cori, Robert
3 Foata, Dominique C.
3 Goldman, Jay R.
3 Huang, Rosa Q.
3 Kac, Mark
3 Loeb, Daniel E.
3 Lothaire, M.
3 Lyndon, Roger C.
3 Perrin, Dominique
3 Reutenauer, Christophe
3 Schwartz, Jacob Theodore
3 Simon, Imre
3 Taylor, Brian D.
2 Andrews, George F.
2 Bonetti, Flavio
2 Cerasoli, Mauro
2 Faltin, Frederick W.
2 Gessel, Ira Martin
2 Kahaner, David K.
2 Kallman, Robert R.
2 Klain, Daniel A.
2 MacMahon, Percy Alexander
2 Odifreddi, Piergiorgio
2 Odlyzko, Andrew M.
2 Pin, Jean-Eric
2 Pólya, George
2 Renz, Peter L.
2 Reynolds, M. C.
2 Sagan, Bruce Eli
2 Sakarovitch, Jacques
2 Schützenberger, Marcel-Paul
2 Senato, Domenico
2 Shen, Jianhong
2 Shortt, Rae Michael
2 Smith, David Alexander
2 Venezia, Antonietta M.
1 Abbott, James C.
1 Aczél, János Dezső
1 Alexander, Kenneth S.
1 Anick, David J.
1 Barrucand, Pierre-A.
1 Beyer, William A.
1 Billik, Martin
1 Boer, Henk
1 Borillo, Mario
1 Bruno, William J.
1 Butzer, Paul Leo
1 Chen, Beifang
1 Chen, William Yong-Chuan
1 D’Antona, Ottavio M.
1 Davis, Philip J.
1 de Luca, Aldo
1 Désarménien, Jacques
1 Dhombres, Jean G.
1 Di Bucchianico, Alessandro
1 Di Crescenzo, Antonio
1 Eden, Moshé
1 Ehrenborg, Richard
1 Ellerman, David P.
1 Erdélyi, Arthur
1 Finberg, David
1 Flato, Moshé
1 Fliess, Michel
1 Gadoffre, G.
1 Galperin, Charles
1 Goulden, Ian P.
1 Grätzer, George
1 Greene, Curtis
1 Gross, Maurice
1 Grosshans, Frank D.
1 Halle, Morris
1 Hansel, Georges
1 Harary, Frank
1 Harper, Lawrence H.
1 Harris, Zellig
1 Haruki, Hiroshi
1 He, Shi
1 Hecker, Siegfried S.
1 Helson, Henry
1 Hersch, Joseph
1 Hersh, Reuben
1 Hewitt, Edwin
1 Hille, Einar
1 Hochstadt, Harry
1 Holland, Samuel Shaheen jun.
1 Howlett, Jack
...and 48 more Co-Authors
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Serials

13 Proceedings of the National Academy of Sciences of the United States of America
8 Advances in Mathematics
6 Studies in Applied Mathematics
6 Bulletin of the American Mathematical Society
6 Mathematicians of Our Time
6 Advances in Mathematics. Supplementary Studies
5 Discrete Mathematics
5 The Mathematical Intelligencer
4 Communications on Pure and Applied Mathematics
4 Journal of Combinatorial Theory. Series A
4 Proceedings of the American Mathematical Society
4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris
4 Modern Birkhäuser Classics
3 American Mathematical Monthly
3 Journal of Algebra
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Synthese
3 Notices of the American Mathematical Society
2 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Rendiconti del Seminario Matematico della Università di Padova
2 European Journal of Combinatorics
2 Pokroky Matematiky, Fyziky & Astronomie
2 Annals of Combinatorics
2 Journal of Mathematics and Mechanics
2 Encyclopedia of Mathematics and Its Applications
2 Contemporary Mathematicians
1 Journal of Mathematical Analysis and Applications
1 Russian Mathematical Surveys
1 The Annals of Probability
1 Gazette des Mathématiciens
1 Journal of Number Theory
1 Ricerche di Matematica
1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
1 Advances in Applied Mathematics
1 Acta Applicandae Mathematicae
1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali
1 Linear Algebra and its Applications
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 Bulletin of the American Mathematical Society. New Series
1 Bollettino della Unione Matemàtica Italiana. Serie VII. A
1 Cambridge Studies in Advanced Mathematics
1 Epsilon Uitgaven
1 Regional Conference Series in Mathematics
1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae
1 Revista SIGMA
1 Cambridge Mathematical Library
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Fields

91 Combinatorics (05-XX)
34 History and biography (01-XX)
33 General and overarching topics; collections (00-XX)
27 Linear and multilinear algebra; matrix theory (15-XX)
19 Group theory and generalizations (20-XX)
18 Associative rings and algebras (16-XX)
17 Order, lattices, ordered algebraic structures (06-XX)
14 Probability theory and stochastic processes (60-XX)
10 Number theory (11-XX)
10 Algebraic geometry (14-XX)
8 Mathematical logic and foundations (03-XX)
8 Nonassociative rings and algebras (17-XX)
8 Computer science (68-XX)
7 Commutative algebra (13-XX)
7 Operator theory (47-XX)
6 Category theory; homological algebra (18-XX)
5 Functional analysis (46-XX)
4 Measure and integration (28-XX)
4 Convex and discrete geometry (52-XX)
3 General algebraic systems (08-XX)
3 Field theory and polynomials (12-XX)
3 Topological groups, Lie groups (22-XX)
3 Special functions (33-XX)
3 Geometry (51-XX)
3 Information and communication theory, circuits (94-XX)
2 Real functions (26-XX)
2 Ordinary differential equations (34-XX)
2 Difference and functional equations (39-XX)
2 Integral transforms, operational calculus (44-XX)
2 Differential geometry (53-XX)
2 General topology (54-XX)
2 Numerical analysis (65-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Statistics (62-XX)
1 Quantum theory (81-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

161 Publications have been cited 4,231 times in 3,418 Documents Cited by Year
On the foundations of combinatorial theory. I: Theory of Möbius functions. Zbl 0121.02406
Rota, Gian-Carlo
708
1964
Combinatorics on words. Foreword by Roger Lyndon. Zbl 0514.20045
Lothaire, M.
603
1983
Ordinary differential equations. Zbl 0183.35601
Birkhoff, G.; Rota, G. C.
360
1969
Combinatorics on words. Foreword by Roger Lyndon. 2nd ed. Zbl 0874.20040
Lothaire, M.
281
1997
The umbral calculus. Zbl 0375.05007
Roman, Steven M.; Rota, Gian-Carlo
237
1978
A note on the joint spectral radius. Zbl 0095.09701
Rota, Gian-Carlo; Strang, W. Gilbert
196
1960
On the foundations of combinatorial theory: Combinatorial geometries. Preliminary edition. Zbl 0216.02101
Crapo, H. H.; Rota, G.-C.
193
1970
On the foundations of combinatorial theory. VIII: Finite operator calculus. Zbl 0267.05004
Rota, Gian-Carlo; Kahaner, D.; Odlyzko, A.
161
1973
Coalgebras and bialgebras in combinatorics. Zbl 0471.05020
Joni, S. A.; Rota, G.-C.
142
1979
Introduction to geometric probability. Zbl 0896.60004
Klain, Daniel A.; Rota, Gian-Carlo
142
1997
On the foundations of combinatorial theory. IX: Combinatorial methods in invariant theory. Zbl 0426.05009
Doubilet, Peter; Rota, Gian-Carlo; Stein, Joel
137
1974
Baxter algebras and combinatorial identities. I. Zbl 0192.33801
Rota, G.-C.
124
1969
The number of partitions of a set. Zbl 0121.01803
Rota, Gian-Carlo
98
1964
On the foundations of combinatorial theory. IV: Finite vector spaces and Eulerian generating functions. Zbl 0212.03303
Goldman, Jay; Rota, Gian-Carlo
97
1970
Ordinary differential equations. Zbl 0102.29901
Birkhoff, Garrett; Rota, Gian-Carlo
94
1962
Invariant theory, Young bitableaux, and combinatorics. Zbl 0373.05010
Désarménien, J.; Kung, Joseph P. S.; Rota, Gian-Carlo
82
1978
The invariant theory of binary forms. Zbl 0577.15020
Kung, Joseph P. S.; Rota, Gian-Carlo
76
1984
On models for linear operators. Zbl 0097.31604
Rota, Gian-Carlo
75
1960
Baxter algebras and combinatorial identities. II. Zbl 0319.05008
Rota, Gian-Carlo
63
1969
Witt vectors and the algebra of necklaces. Zbl 0545.05009
Metropolis, N.; Rota, Gian-Carlo
59
1983
On the foundations of combinatorial theory. II: Combinatorial geometries. Zbl 0231.05024
Crapo, Henry H.; Rota, Gian-Carlo
55
1970
The classical umbral calculus. Zbl 0797.05006
Rota, G.-C.; Taylor, B. D.
50
1994
On ’Alternierende Verfahren’ for general positive operators. Zbl 0116.10403
Rota, Gian-Carlo
49
1962
On the exterior calculus of invariant theory. Zbl 0585.15005
Barnabei, Marilena; Brini, Andrea; Rota, Gian-Carlo
49
1985
Apolarity and canonical forms for homogeneous polynomials. Zbl 0784.05019
Ehrenborg, Richard; Rota, Gian-Carlo
40
1993
On the foundations of combinatorial theory. VI: The idea of generating function. Zbl 0267.05002
Doubilet, Peter; Rota, Gian-Carlo; Stanley, Richard
35
1972
Ordinary differential equations. 3rd ed. Zbl 0377.34001
Birkhoff, Garrett; Rota, Gian-Carlo
34
1978
Combinatorics. The Rota way. Zbl 1159.05002
Kung, Joseph P. S.; Rota, Gian-Carlo; Yan, Catherine H.
26
2009
On the relations of various conjectures on Latin squares and straightening coefficients. Zbl 0797.05019
Huang, Rosa; Rota, Gian-Carlo
26
1994
On the foundations of combinatorial theory. III: Theory of binomial enumeration. Zbl 0259.12001
Mullin, Ronald; Rota, Gian-Carlo
26
1970
Combinatorial enumeration. With a foreword by Gian-Carlo Rota. Reprint of the 1983 original. Zbl 1099.05005
Goulden, Ian P.; Jackson, David M.
25
2004
Invariant theory and superalgebras. Zbl 0648.15020
Grosshans, Frank D.; Rota, Gian-Carlo; Stein, Joel A.
22
1987
Stochastic integrals: A combinatorial approach. Zbl 0886.60046
Rota, Gian-Carlo; Wallstrom, Timothy C.
22
1997
Combinatorial structure of the faces of the n-cube. Zbl 0402.05010
Metropolis, N.; Rota, Gian-Carlo
20
1978
Formal power series of logarithmic type. Zbl 0688.05001
Loeb, Daniel E.; Rota, Gian-Carlo
20
1989
The number of subspaces of a vector space. Zbl 0196.02801
Goldman, Jay; Rota, Gian-Carlo
19
1969
A cyclic derivative in noncommutative algebra. Zbl 0428.16036
Rota, Gian-Carlo; Sagan, Bruce; Stein, Paul R.
19
1980
Coalgebras and bialgebras in combinatorics. Zbl 0491.05021
Joni, S. A.; Rota, G.-C.
19
1982
Extension theory of differential operators. I. Zbl 0088.06303
Rota, G. C.
19
1958
On the representation of averaging operators. Zbl 0096.09101
Rota, G. C.
19
1960
On the Rédei zeta function. Zbl 0446.05003
Kung, Joseph P. S.; Murty, M. Ram; Rota, Gian-Carlo
17
1980
Gian-Carlo Rota on combinatorics: Introductory papers and commentaries. Edited by Joseph P. S. Kung. Zbl 0841.01031
Rota, Gian-Carlo
17
1995
On the combinatorics of cumulants. Zbl 0978.05006
Rota, Gian-Carlo; Shen, Jianhong
17
2000
Plethysm, categories and combinatorics. Zbl 0634.05010
Nava, Oscar; Rota, Gian-Carlo
16
1985
\(q\)-analogs of the inclusion-exclusion principle and permutations with restricted position. Zbl 0806.05010
Chen, William Y. C.; Rota, Gian-Carlo
15
1992
From sets to functions: Three elementary examples. Zbl 0469.05006
Joni, S. A.; Rota, G.-C.; Sagan, B.
15
1981
On the eigenvalues of positive operators. Zbl 0107.09801
Rota, G.-C.
14
1961
All polynomials of binomial type are represented by Abel polynomials. Zbl 1003.05011
Rota, Gian-Carlo; Shen, Jianhong; Taylor, Brian D.
14
1997
Enumeration under group action. Zbl 0367.05008
Rota, Gian-Carlo; Smith, David A.
14
1977
Finite operator calculus. With the collaboration of P. Doubilet, C. Greene, D. Kahaner, A: Odlyzko and R. Stanley. Zbl 0328.05007
Rota, Gian-Carlo
14
1975
Symbolic method in invariant theory. Zbl 0613.15026
Rota, Gian-Carlo; Stein, Joel A.
14
1986
Ten mathematics problems I will never solve. Zbl 1288.00005
Rota, Gian-Carlo
12
1998
Plethystic Hopf algebras. Zbl 0831.16025
Rota, Gian-Carlo; Stein, Joel A.
12
1994
Collected papers. Volume I: Combinatorics. Ed. and with a preface by George F. Andrews. With an introduction by Gian-Carlo Rota. Zbl 0557.01015
MacMahon, Percy Alexander
12
1978
Fluctuation theory and Baxter algebras. Zbl 0255.08003
Rota, Gian-Carlo; Smith, D. A.
12
1972
The real numbers as a wreath product. Zbl 0314.12101
Faltin, F.; Metropolis, N.; Ross, B.; Rota, G.-C.
12
1975
Alternating groups as quotients of two generator groups. Zbl 0805.20023
Mushtaq, Qaiser; Rota, Gian-Carlo
11
1992
A vector space analog of permutations with restricted position. Zbl 0446.05004
Joni, S. A.; Rota, G.-C.
10
1980
Congruences derived from group action. Zbl 0453.05008
Rota, Gian-Carlo; Sagan, Bruce
10
1980
Skew-symmetric invariant theory. Zbl 0361.15024
Doubilet, Peter; Rota, Gian-Carlo
10
1976
The logic of commuting equivalence relations. Zbl 0862.03039
Finberg, David; Mainetti, Matteo; Rota, Gian-Carlo
10
1996
An introduction to the umbral calculus. Zbl 0910.05010
Rota, G.-C.; Taylor, B. D.
10
1993
Twelve problems in probability no one likes to bring up. Zbl 0984.60007
Rota, G.-C.
9
2001
The phenomenology of mathematical beauty. Zbl 1012.00501
Rota, Gian-Carlo
9
1997
Sets, numbers, and universes: selected works. Ed. by W. A. Beyer, J. Mycielski and G.-C. Rota. Zbl 0558.00017
Ulam, Stanislaw
9
1974
On the foundation of combinatorial theory. X: A categorical setting for symmetric functions. Zbl 0748.05093
Bonetti, Flavio; Rota, Gian-Carlo; Senato, Domenico; Venezia, Antonietta M.
8
1992
Projective resolutions of Weyl modules. Zbl 0783.15013
Buchsbaum, D. A.; Rota, Gian-Carlo
8
1993
A new construction in homological algebra. Zbl 0802.18010
Buchsbaum, D. A.; Rota, Gian-Carlo
8
1994
A new class of symmetric functions. Zbl 0496.20008
Metropolis, N.; Nicoletti, G.; Rota, Gian-Carlo
8
1981
On Reynolds operators in finite-dimensional algebras. Zbl 0095.31304
Billik, Martin; Rota, Gian-Carlo
8
1960
Une théorie unifiee des martingales et des moyennes ergodiques. Zbl 0102.13603
Rota, Gian-Carlo
8
1961
A continuous analogue of Sperner’s theorem. Zbl 0865.05073
Klain, Daniel A.; Rota, Gian-Carlo
8
1997
On the combinatorics of the Euler characteristic. Zbl 0299.06006
Rota, Gian-Carlo
8
1971
Classic papers in combinatorics. Zbl 0612.05001
8
1987
Matching theory, an introduction. Zbl 0234.05001
Rota, Gian-Carlo; Harper, L. H.
7
1971
Plethystic algebras and vector symmetric functions. Zbl 0831.16026
Rota, Gian-Carlo; Stein, Joel A.
7
1994
On the maximal ergodic theorem for Abel-limits. Zbl 0117.10501
Rota, G.-C.
7
1963
Note on the invariant subspaces of linear operators. Zbl 0139.08402
Rota, G. C.
7
1959
Combinatorial theory, old and new. Zbl 0362.05044
Rota, Gian-Carlo
7
1971
Enumerative combinatorics. Vol. 1. With a foreword by Gian-Carlo Rota. Corrected reprint of the 1986 hardback edition. Zbl 0945.05006
Stanley, Richard P.
7
1999
On the lattice of faces of the n-cube. Zbl 0389.05026
Metropolis, N.; Rota, Gian-Carlo
7
1978
The resolving bracket. Zbl 0927.68104
Crapo, H.; Rota, G.-C.
7
1995
Umbral calculus in Hilbert space. Zbl 0902.05007
Di Bucchianico, Alessandro; Loeb, Daniel E.; Rota, Gian-Carlo
7
1998
Ten lessons I wish I had been taught. Zbl 0912.01017
Rota, Gian-Carlo
7
1997
The theory of Möbius functions. Zbl 0615.05006
Barnabei, M.; Brini, A.; Rota, G.-C.
7
1986
Symmetry classes: Functions of three variables. Zbl 0778.05086
Metropolis, N.; Rota, Gian-Carlo
6
1991
Higher-order syzygies for the bracket algebra and for the ring of coordinates of the Grassmannian. Zbl 0758.16013
Anick, David; Rota, Gian-Carlo
6
1991
Approaches to resolution of Weyl modules. Zbl 1034.20040
Buchsbaum, David A.; Rota, Gian-Carlo
6
2001
Partitions into chains of a class of partially ordered sets. Zbl 0391.06001
Metropolis, N.; Rota, Gian-Carlo; Strehl, Volker; White, Neil
6
1978
Two rings connected with the inclusion-exclusion principle. Zbl 0392.05009
D’Antona, Ottavio; Rota, Gian-Carlo
6
1978
Standard basis in supersymplectic algebras. Zbl 0699.15013
Rota, Gian-Carlo; Stein, Joel A.
6
1989
Significance arithmetic: The carrying algorithm. Zbl 0259.00001
Metropolis, N.; Rota, Gian-Carlo; Tanny, S.
6
1973
Applications of Cayley algebras. Zbl 0406.15007
Rota, Gian-Carlo; Stein, Joel
5
1976
Supersymmetric bracket algebra and invariant theory. Zbl 0748.05013
Huang, Rosa Q.; Rota, Gian-Carlo; Stein, Joel A.
5
1990
The cyclotomic identity. Zbl 0554.05006
Metropolis, N.; Rota, Gian Carlo
5
1984
Classical analysis and functional analysis: selected papers. Ed. by Robert R. Kallman. Zbl 0558.46002
Hille, Einar
5
1975
The valuation ring of a distributive lattice. Zbl 0298.06015
Rota, Gian-Carlo
5
1973
A stochastic interpretation of the Riemann zeta-function. Zbl 0766.60017
Alexander, Kenneth S.; Baclawski, Kenneth; Rota, Gian-Carlo
4
1993
The pernicious influence of mathematics upon philosophy. Zbl 0749.00006
Rota, Gian-Carlo
4
1991
Theory of symmetry classes. Zbl 0757.05099
Metropolis, N.; Rota, Gian-Carlo; Stein, Joel A.
4
1991
The mathematical experience. Study edition. With an introduction by Gian-Carlo Rota. Reprint of the 1995 edition, updated with epilogues by the authors. Zbl 1230.00003
Davis, Philip J.; Hersh, Reuben; Marchisotto, Elena Anne
1
2012
Combinatorics. The Rota way. Zbl 1159.05002
Kung, Joseph P. S.; Rota, Gian-Carlo; Yan, Catherine H.
26
2009
Classic papers in combinatorics. Reprint of the 1987 original. Zbl 1154.05001
1
2009
Indiscrete thoughts. With forewords by Reuben Hersh and Robert Sokolowski. Edited, with notes and an epilogue by Fabrizio Palombi. Reprint of the 1997 original. Zbl 1131.00005
Rota, Gian-Carlo
2
2008
A problem of Cayley from 1857 and how he could have solved it. Zbl 1080.05098
Rota, Gian-Carlo; Stein, Joel Alvin
2
2005
Combinatorial enumeration. With a foreword by Gian-Carlo Rota. Reprint of the 1983 original. Zbl 1099.05005
Goulden, Ian P.; Jackson, David M.
25
2004
Gian-Carlo Rota on analysis and probability. Selected papers and commentaries. Edited by Jean Dhombres, Joseph P. S. Kung and Norton Starr. Zbl 1159.01014
Rota, Gian-Carlo
3
2003
A combinatorial overview of the Hopf algebra of MacMahon symmetric functions. Zbl 1059.16034
Rosas, Mercedes H.; Rota, Gian-Carlo; Stein, Joel
1
2002
Twelve problems in probability no one likes to bring up. Zbl 0984.60007
Rota, G.-C.
9
2001
Approaches to resolution of Weyl modules. Zbl 1034.20040
Buchsbaum, David A.; Rota, Gian-Carlo
6
2001
What is invariant theory, really? Zbl 0968.05010
Rota, G.-C.
3
2001
A formal theory of resultants. I: An algorithm in invariant theory. II: A constructive definition of the resultant. Zbl 0991.16019
Rota, G.-C.; Stein, J. A.
2
2001
On the combinatorics of cumulants. Zbl 0978.05006
Rota, Gian-Carlo; Shen, Jianhong
17
2000
Enumerative combinatorics. Vol. 1. With a foreword by Gian-Carlo Rota. Corrected reprint of the 1986 hardback edition. Zbl 0945.05006
Stanley, Richard P.
7
1999
Two turning points in invariant theory. Zbl 0922.13002
Rota, Gian-Carlo
4
1999
Probability set functions. Zbl 0949.60018
Bruno, William J.; Rota, Gian-Carlo; Torney, David C.
4
1999
Combinatorial snapshots. Zbl 1052.05500
Rota, Gian-Carlo
2
1999
Ten mathematics problems I will never solve. Zbl 1288.00005
Rota, Gian-Carlo
12
1998
Umbral calculus in Hilbert space. Zbl 0902.05007
Di Bucchianico, Alessandro; Loeb, Daniel E.; Rota, Gian-Carlo
7
1998
Geometric probability. Zbl 0941.60023
Rota, Gian-Carlo
2
1998
Combinatorics, representation theory and invariant theory: The story of a ménage à trois. Zbl 1061.05514
Rota, Gian-Carlo
2
1998
Combinatorics on words. Foreword by Roger Lyndon. 2nd ed. Zbl 0874.20040
Lothaire, M.
281
1997
Introduction to geometric probability. Zbl 0896.60004
Klain, Daniel A.; Rota, Gian-Carlo
142
1997
Stochastic integrals: A combinatorial approach. Zbl 0886.60046
Rota, Gian-Carlo; Wallstrom, Timothy C.
22
1997
All polynomials of binomial type are represented by Abel polynomials. Zbl 1003.05011
Rota, Gian-Carlo; Shen, Jianhong; Taylor, Brian D.
14
1997
The phenomenology of mathematical beauty. Zbl 1012.00501
Rota, Gian-Carlo
9
1997
A continuous analogue of Sperner’s theorem. Zbl 0865.05073
Klain, Daniel A.; Rota, Gian-Carlo
8
1997
Ten lessons I wish I had been taught. Zbl 0912.01017
Rota, Gian-Carlo
7
1997
The many lives of lattice theory. Zbl 0908.06001
Rota, Gian-Carlo
4
1997
The phenomenology of mathematical proof. Zbl 1012.00502
Rota, Gian-Carlo
3
1997
Indiscrete thoughts. With forewords by Reuben Hersh and Robert Sokolowski. Edited, with notes and an epilogue by Fabrizio Palombi. Zbl 0862.00005
Rota, Gian-Carlo
1
1997
Ten lessons I wish I had been taught. Zbl 0973.00516
Rota, Gian-Carlo
1
1997
The logic of commuting equivalence relations. Zbl 0862.03039
Finberg, David; Mainetti, Matteo; Rota, Gian-Carlo
10
1996
Report on the present state of combinatorics. Zbl 0855.05001
Rota, Gian-Carlo
2
1996
Gian-Carlo Rota on combinatorics: Introductory papers and commentaries. Edited by Joseph P. S. Kung. Zbl 0841.01031
Rota, Gian-Carlo
17
1995
The resolving bracket. Zbl 0927.68104
Crapo, H.; Rota, G.-C.
7
1995
Symmetry classes of functions. Zbl 0817.05076
Metropolis, N.; Rota, Gian-Carlo; Stein, Joel A.
3
1995
The power of positive thinking. Zbl 0980.15512
Chan, W.; Rota, G.-C.; Stein, J.
2
1995
The classical umbral calculus. Zbl 0797.05006
Rota, G.-C.; Taylor, B. D.
50
1994
On the relations of various conjectures on Latin squares and straightening coefficients. Zbl 0797.05019
Huang, Rosa; Rota, Gian-Carlo
26
1994
Plethystic Hopf algebras. Zbl 0831.16025
Rota, Gian-Carlo; Stein, Joel A.
12
1994
A new construction in homological algebra. Zbl 0802.18010
Buchsbaum, D. A.; Rota, Gian-Carlo
8
1994
Plethystic algebras and vector symmetric functions. Zbl 0831.16026
Rota, Gian-Carlo; Stein, Joel A.
7
1994
Totally invariant set functions of polynomial type. Zbl 0815.52009
Chen, Beifang; Rota, Gian-Carlo
3
1994
On umbral calculus. Zbl 0918.05010
Di Crescenzo, Antonio; Rota, Gian-Carlo
1
1994
Apolarity and canonical forms for homogeneous polynomials. Zbl 0784.05019
Ehrenborg, Richard; Rota, Gian-Carlo
40
1993
An introduction to the umbral calculus. Zbl 0910.05010
Rota, G.-C.; Taylor, B. D.
10
1993
Projective resolutions of Weyl modules. Zbl 0783.15013
Buchsbaum, D. A.; Rota, Gian-Carlo
8
1993
A stochastic interpretation of the Riemann zeta-function. Zbl 0766.60017
Alexander, Kenneth S.; Baclawski, Kenneth; Rota, Gian-Carlo
4
1993
\(q\)-analogs of the inclusion-exclusion principle and permutations with restricted position. Zbl 0806.05010
Chen, William Y. C.; Rota, Gian-Carlo
15
1992
Alternating groups as quotients of two generator groups. Zbl 0805.20023
Mushtaq, Qaiser; Rota, Gian-Carlo
11
1992
On the foundation of combinatorial theory. X: A categorical setting for symmetric functions. Zbl 0748.05093
Bonetti, Flavio; Rota, Gian-Carlo; Senato, Domenico; Venezia, Antonietta M.
8
1992
Discrete thoughts. Essays on mathematics, science, and philosophy. Rev. and correct. ed. with the assistance of Peter Renz. Zbl 0956.00519
Kac, Mark; Rota, Gian-Carlo; Schwartz, Jacob T.
2
1992
Symmetry classes: Functions of three variables. Zbl 0778.05086
Metropolis, N.; Rota, Gian-Carlo
6
1991
Higher-order syzygies for the bracket algebra and for the ring of coordinates of the Grassmannian. Zbl 0758.16013
Anick, David; Rota, Gian-Carlo
6
1991
The pernicious influence of mathematics upon philosophy. Zbl 0749.00006
Rota, Gian-Carlo
4
1991
Theory of symmetry classes. Zbl 0757.05099
Metropolis, N.; Rota, Gian-Carlo; Stein, Joel A.
4
1991
The ambiguities of the mathematical truth. (Las ambigüedades de la verdad matemática.) Zbl 1177.00025
Rota, Gian-Carlo
1
1991
Recent contributions to the calculus of finite differences: A survey. Zbl 0759.05008
Loeb, D.; Rota, G. C.
1
1991
Supersymmetric bracket algebra and invariant theory. Zbl 0748.05013
Huang, Rosa Q.; Rota, Gian-Carlo; Stein, Joel A.
5
1990
Supersymmetric Hilbert space. Zbl 0721.46017
Rota, Gian-Carlo; Stein, Joel A.
3
1990
Words. Miscellany offered to M.-P. Schützenberger. (Mots. Mélanges offerts à M.-P. Schützenberger.) Zbl 0862.05001
2
1990
Introduction to invariant theory in superalgebras. Zbl 0717.05009
Rota, Gian-Carlo; Sturmfels, Bernd
2
1990
Mathematics and philosophy: History of a misunderstanding. Zbl 0726.01027
Rota, Gian-Carlo
1
1990
Les ambiguïtés de la pensée mathématique. Zbl 0706.00001
Rota, Gian-Carlo
1
1990
Formal power series of logarithmic type. Zbl 0688.05001
Loeb, Daniel E.; Rota, Gian-Carlo
20
1989
Standard basis in supersymplectic algebras. Zbl 0699.15013
Rota, Gian-Carlo; Stein, Joel A.
6
1989
On artificial intelligence. Zbl 0709.00512
Rota, Gian-Carlo
2
1989
Supersymmetric algebra, supersymmetric space, and invariant theory. Zbl 0731.15020
Huang, Rosa Q.; Rota, Gian Carlo; Stein, Joel A.
2
1989
The barrier of meaning. In memorium: Stanislaw Ulam. Zbl 1194.01134
Rota, Gian-Carlo
1
1989
Invariant theory and superalgebras. Zbl 0648.15020
Grosshans, Frank D.; Rota, Gian-Carlo; Stein, Joel A.
22
1987
Classic papers in combinatorics. Zbl 0612.05001
8
1987
Selected papers on algebra and topology. Ed. by Gian-Carlo Rota and Joseph S. Oliveira. Zbl 0624.01025
Birkhoff, Garrett
2
1987
Symbolic method in invariant theory. Zbl 0613.15026
Rota, Gian-Carlo; Stein, Joel A.
14
1986
The theory of Möbius functions. Zbl 0615.05006
Barnabei, M.; Brini, A.; Rota, G.-C.
7
1986
Discrete thoughts. Essays on mathematics, science, and philosophy. Zbl 0597.00034
Kac, Mark; Rota, Gian-Carlo; Schwartz, Jacob T.
2
1986
On the exterior calculus of invariant theory. Zbl 0585.15005
Barnabei, Marilena; Brini, Andrea; Rota, Gian-Carlo
49
1985
Plethysm, categories and combinatorics. Zbl 0634.05010
Nava, Oscar; Rota, Gian-Carlo
16
1985
The invariant theory of binary forms. Zbl 0577.15020
Kung, Joseph P. S.; Rota, Gian-Carlo
76
1984
The cyclotomic identity. Zbl 0554.05006
Metropolis, N.; Rota, Gian Carlo
5
1984
Collected papers. Volume III: Analysis. Ed. by Joseph Hersch and Gian- Carlo Rota. Associate Editors: M. C. Reynolds, R. M. Shortt. Zbl 0561.01029
Pólya, George
1
1984
Introduction into probability. Zbl 0598.60001
Baclawski, Kenneth; Cerasoli, Mauro; Rota, Gian Carlo
1
1984
Combinatorics on words. Foreword by Roger Lyndon. Zbl 0514.20045
Lothaire, M.
603
1983
Witt vectors and the algebra of necklaces. Zbl 0545.05009
Metropolis, N.; Rota, Gian-Carlo
59
1983
Coalgebras and bialgebras in combinatorics. Zbl 0491.05021
Joni, S. A.; Rota, G.-C.
19
1982
Methoden zur Theorie der ternaeren Formen. Mit einer Einleitung zur Reprintausg. von Gian-Carlo Rota. Reprint d. Ausg. B. G. Teubner, Leipzig 1889. Zbl 0501.01025
Study, Eduard
1
1982
From sets to functions: Three elementary examples. Zbl 0469.05006
Joni, S. A.; Rota, G.-C.; Sagan, B.
15
1981
A new class of symmetric functions. Zbl 0496.20008
Metropolis, N.; Nicoletti, G.; Rota, Gian-Carlo
8
1981
On the differential invariants of a linear ordinary differential equation. Zbl 0463.34012
Kung, Joseph P. S.; Rota, Gian-Carlo
1
1981
Sistemi di coefficienti sezionali. II. Zbl 0491.05005
Barnabei, M.; Brini, A.; Rota, G. C.
1
1981
A cyclic derivative in noncommutative algebra. Zbl 0428.16036
Rota, Gian-Carlo; Sagan, Bruce; Stein, Paul R.
19
1980
On the Rédei zeta function. Zbl 0446.05003
Kung, Joseph P. S.; Murty, M. Ram; Rota, Gian-Carlo
17
1980
A vector space analog of permutations with restricted position. Zbl 0446.05004
Joni, S. A.; Rota, G.-C.
10
1980
Congruences derived from group action. Zbl 0453.05008
Rota, Gian-Carlo; Sagan, Bruce
10
1980
A history of computing in the twentieth century. A collection of essays. (International Research Conference on the History of Computing, Los Alamos Scientific Laboratory, 1976). Zbl 0456.68001
4
1980
The elementary theory of the symmetric group. Zbl 0446.20005
Doubilet, Peter; Fox, John; Rota, Gian-Carlo
2
1980
Sistemi di coefficienti sezionali. I. Zbl 0484.05008
Barnabei, M.; Brini, A.; Rota, G. C.
1
1980
Section coefficients and section sequences. Zbl 0462.05007
Barnabei, Marilena; Brini, Andrea; Rota, Gian-Carlo
1
1980
Coalgebras and bialgebras in combinatorics. Zbl 0471.05020
Joni, S. A.; Rota, G.-C.
142
1979
The umbral calculus. Zbl 0375.05007
Roman, Steven M.; Rota, Gian-Carlo
237
1978
...and 61 more Documents
all top 5

Cited by 3,687 Authors

41 Guo, Li
38 Rota, Gian-Carlo
35 Grabisch, Michel
32 Kung, Joseph P. S.
23 Ehrenborg, Richard
22 Ebrahimi-Fard, Kurusch
21 Chen, William Yong-Chuan
20 Brini, Andrea
17 Barnabei, Marilena
17 Gao, Xing
16 Di Nardo, Elvira
16 Stanley, Richard Peter
15 Readdy, Margaret A.
14 Guglielmi, Nicola
14 Niederhausen, Heinrich
14 Sagan, Bruce Eli
14 Senato, Domenico
14 Zaslavsky, Thomas
13 Ludwig, Monika
13 Yan, Catherine Huafei
12 Baclawski, Kenneth
12 Chen, Beifang
12 Labreuche, Christophe
12 Loeb, Daniel E.
12 Munarini, Emanuele
11 Jódar Sanchez, Lucas Antonio
11 Mukherjee, Debasis
11 Patras, Frédéric
11 Protasov, Vladimir Yu.
11 Roman, Steven M.
10 Chipalkatti, Jaydeep V.
10 Joni, S. A.
10 Kim, Taekyun
10 Kojadinovic, Ivan
10 Oh, Young-Tak
10 Terao, Hiroaki
10 White, Neil L.
9 Bai, Chengming
9 Björner, Anders
9 Crapo, Henry H.
9 Greco, Salvatore
9 Greene, Curtis
9 Kim, Dae San
9 Klain, Daniel A.
9 Kozyakin, Viktor Sergeevich
9 Labelle, Gilbert
9 Louck, James D.
9 Manchon, Dominique
9 Morris, Ian D.
9 Ricci, Paolo Emilio
8 Aguiar, Marcelo
8 Bernig, Andreas
8 Colesanti, Andrea
8 Gazi, Nurul Huda
8 Gubarev, Vsevolod Yur’evich
8 Lindstrom, Bernt
8 Luo, Yan Feng
8 Ma, Tianshui
8 Makhlouf, Abdenacer
8 Miranda, Pedro
8 Samanta, Guru Prasad
8 Sturmfels, Bernd
8 Thibon, Jean-Yves
8 Whiteley, Walter John
7 Abbes, Samy
7 Buchsbaum, David A.
7 Charina, Maria
7 Conti, Costanza
7 Dai, Xiongping
7 D’Antona, Ottavio M.
7 Dowling, Thomas A.
7 Fauser, Bertfried
7 Graves, William H.
7 Ismail, Mourad El-Houssieny
7 Keigher, William F.
7 Khan, Muhammad Altaf
7 Maiti, Alakes
7 Marichal, Jean-Luc
7 Natalini, Pierpaolo
7 Oxley, James G.
7 Rosenkranz, Markus
7 Sarwardi, Sahabuddin
7 Schuster, Franz E.
7 Zennaro, Marino
7 Zhou, Dingxuan
7 Ziegler, Günter Matthias
6 Abdesselam, Abdelmalek
6 Britz, Thomas
6 Combarro, Elías F.
6 Cordovil, Raul
6 Dattoli, Giuseppe
6 Faigle, Ulrich
6 Ferrari, Luca
6 Fuhrmann, Paul A.
6 Gallardo-Gutiérrez, Eva Antonia
6 Kock, Joachim
6 Mairesse, Jean
6 McMullen, Peter
6 Méndez, Miguel A.
6 Nguyen, Hien Quang
...and 3,587 more Authors
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Cited in 578 Serials

185 Advances in Mathematics
171 Discrete Mathematics
150 Journal of Combinatorial Theory. Series A
124 Journal of Mathematical Analysis and Applications
115 Linear Algebra and its Applications
97 Journal of Algebra
93 Advances in Applied Mathematics
82 Transactions of the American Mathematical Society
68 European Journal of Combinatorics
60 Proceedings of the American Mathematical Society
47 Applied Mathematics and Computation
44 Communications in Algebra
44 Journal of Pure and Applied Algebra
38 Journal of Functional Analysis
38 Studies in Applied Mathematics
32 Linear and Multilinear Algebra
32 Journal of Algebraic Combinatorics
29 Journal of Mathematical Physics
29 Journal of Combinatorial Theory. Series B
25 The Electronic Journal of Combinatorics
24 Discrete Applied Mathematics
23 European Journal of Operational Research
22 Journal of Algebra and its Applications
21 Computers & Mathematics with Applications
21 Fuzzy Sets and Systems
21 Journal of Symbolic Computation
20 Annals of Combinatorics
18 Discrete & Computational Geometry
17 Bulletin of the American Mathematical Society
16 Algebra Universalis
15 Israel Journal of Mathematics
15 Mathematical Biosciences
15 Theoretical Computer Science
14 Communications in Mathematical Physics
14 Archiv der Mathematik
14 Automatica
14 Journal of Computational and Applied Mathematics
13 Journal of Approximation Theory
13 Journal of Number Theory
13 Combinatorica
13 Aequationes Mathematicae
13 Bulletin of the American Mathematical Society. New Series
13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
12 Chaos, Solitons and Fractals
12 Mathematische Zeitschrift
12 International Journal of Algebra and Computation
12 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
12 Journal of Applied Mathematics and Computing
11 Bulletin of the Australian Mathematical Society
11 Letters in Mathematical Physics
11 Mathematics of Computation
11 Journal of Differential Equations
11 Journal of Mathematical Sciences (New York)
10 Mathematical Proceedings of the Cambridge Philosophical Society
10 Journal of Statistical Planning and Inference
10 The Ramanujan Journal
9 International Journal of Theoretical Physics
9 Mathematical Notes
9 The Annals of Probability
9 Geometriae Dedicata
9 Mathematics and Computers in Simulation
9 Applied Mathematics Letters
9 Foundations of Computational Mathematics
9 Mediterranean Journal of Mathematics
9 Advances in Difference Equations
8 Journal of Statistical Physics
8 Information Sciences
8 Monatshefte für Mathematik
8 Results in Mathematics
8 Semigroup Forum
8 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
8 Topology and its Applications
8 Systems & Control Letters
8 Acta Applicandae Mathematicae
8 Differential Equations and Dynamical Systems
8 Nonlinear Analysis. Real World Applications
7 Physica A
7 Inventiones Mathematicae
7 Journal of Multivariate Analysis
7 Mathematische Annalen
7 Mathematical Social Sciences
7 Journal of Theoretical Probability
7 Mathematical and Computer Modelling
7 The Annals of Applied Probability
7 Applied Mathematical Modelling
7 Applied and Computational Harmonic Analysis
7 Advances in Applied Clifford Algebras
7 Integral Transforms and Special Functions
7 Journal of Mathematical Chemistry
7 Journal of Integer Sequences
7 Acta Mathematica Sinica. English Series
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 International Journal of Biomathematics
7 Journal of Applied Nonlinear Dynamics
7 SIAM Journal on Applied Algebra and Geometry
7 Algebraic Combinatorics
6 Journal of Computational Physics
6 Bulletin of Mathematical Biology
6 The Mathematical Intelligencer
6 Functional Analysis and its Applications
...and 478 more Serials
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Cited in 63 Fields

1,212 Combinatorics (05-XX)
334 Associative rings and algebras (16-XX)
323 Order, lattices, ordered algebraic structures (06-XX)
290 Number theory (11-XX)
285 Linear and multilinear algebra; matrix theory (15-XX)
252 Ordinary differential equations (34-XX)
239 Group theory and generalizations (20-XX)
221 Convex and discrete geometry (52-XX)
219 Probability theory and stochastic processes (60-XX)
213 Biology and other natural sciences (92-XX)
175 Operator theory (47-XX)
172 Commutative algebra (13-XX)
163 Numerical analysis (65-XX)
161 Computer science (68-XX)
156 Nonassociative rings and algebras (17-XX)
140 Special functions (33-XX)
138 Functional analysis (46-XX)
133 Algebraic geometry (14-XX)
107 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
102 Quantum theory (81-XX)
95 Dynamical systems and ergodic theory (37-XX)
92 Geometry (51-XX)
90 Systems theory; control (93-XX)
87 Category theory; homological algebra (18-XX)
79 Partial differential equations (35-XX)
75 Statistics (62-XX)
71 Mathematical logic and foundations (03-XX)
69 Operations research, mathematical programming (90-XX)
68 Measure and integration (28-XX)
68 Harmonic analysis on Euclidean spaces (42-XX)
67 Approximations and expansions (41-XX)
60 Differential geometry (53-XX)
58 Algebraic topology (55-XX)
53 Information and communication theory, circuits (94-XX)
49 Calculus of variations and optimal control; optimization (49-XX)
47 Manifolds and cell complexes (57-XX)
40 Field theory and polynomials (12-XX)
39 Real functions (26-XX)
37 Functions of a complex variable (30-XX)
37 Statistical mechanics, structure of matter (82-XX)
34 Difference and functional equations (39-XX)
31 History and biography (01-XX)
26 Topological groups, Lie groups (22-XX)
25 General algebraic systems (08-XX)
25 Several complex variables and analytic spaces (32-XX)
24 General and overarching topics; collections (00-XX)
23 Global analysis, analysis on manifolds (58-XX)
22 Fluid mechanics (76-XX)
19 Integral transforms, operational calculus (44-XX)
19 Mechanics of particles and systems (70-XX)
18 \(K\)-theory (19-XX)
17 Mechanics of deformable solids (74-XX)
17 Relativity and gravitational theory (83-XX)
15 Abstract harmonic analysis (43-XX)
14 General topology (54-XX)
10 Sequences, series, summability (40-XX)
7 Integral equations (45-XX)
6 Geophysics (86-XX)
5 Classical thermodynamics, heat transfer (80-XX)
5 Mathematics education (97-XX)
4 Potential theory (31-XX)
4 Astronomy and astrophysics (85-XX)
3 Optics, electromagnetic theory (78-XX)

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