Edit Profile (opens in new tab) Rota, Gian-Carlo Compute Distance To: Compute Author ID: rota.gian-carlo Published as: Rota, Gian-Carlo; Rota, G.-C.; Rota, G. C.; Rota, Gian Carlo; Rota, G-C. more...less Homepage: http://www-math.mit.edu/~rstan/rota.ps External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 166 Publications since 1958, including 19 Books 15 Contributions as Editor · 14 Further Contributions Biographic References: 20 Publications Co-Authors: 76 Co-Authors with 121 Joint Publications 2,288 Co-Co-Authors all top 5 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 all top 5 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 all top 5 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 all cited Publications top 5 cited Publications 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 0121.02406Rota, Gian-Carlo 708 1964 Combinatorics on words. Foreword by Roger Lyndon. Zbl 0514.20045Lothaire, M. 603 1983 Ordinary differential equations. Zbl 0183.35601Birkhoff, G.; Rota, G. C. 360 1969 Combinatorics on words. Foreword by Roger Lyndon. 2nd ed. Zbl 0874.20040Lothaire, M. 281 1997 The umbral calculus. Zbl 0375.05007Roman, Steven M.; Rota, Gian-Carlo 237 1978 A note on the joint spectral radius. Zbl 0095.09701Rota, Gian-Carlo; Strang, W. Gilbert 196 1960 On the foundations of combinatorial theory: Combinatorial geometries. Preliminary edition. Zbl 0216.02101Crapo, H. H.; Rota, G.-C. 193 1970 On the foundations of combinatorial theory. VIII: Finite operator calculus. Zbl 0267.05004Rota, Gian-Carlo; Kahaner, D.; Odlyzko, A. 161 1973 Coalgebras and bialgebras in combinatorics. Zbl 0471.05020Joni, S. A.; Rota, G.-C. 142 1979 Introduction to geometric probability. Zbl 0896.60004Klain, Daniel A.; Rota, Gian-Carlo 142 1997 On the foundations of combinatorial theory. IX: Combinatorial methods in invariant theory. Zbl 0426.05009Doubilet, Peter; Rota, Gian-Carlo; Stein, Joel 137 1974 Baxter algebras and combinatorial identities. I. Zbl 0192.33801Rota, G.-C. 124 1969 The number of partitions of a set. Zbl 0121.01803Rota, Gian-Carlo 98 1964 On the foundations of combinatorial theory. IV: Finite vector spaces and Eulerian generating functions. Zbl 0212.03303Goldman, Jay; Rota, Gian-Carlo 97 1970 Ordinary differential equations. Zbl 0102.29901Birkhoff, Garrett; Rota, Gian-Carlo 94 1962 Invariant theory, Young bitableaux, and combinatorics. Zbl 0373.05010Désarménien, J.; Kung, Joseph P. S.; Rota, Gian-Carlo 82 1978 The invariant theory of binary forms. Zbl 0577.15020Kung, Joseph P. S.; Rota, Gian-Carlo 76 1984 On models for linear operators. Zbl 0097.31604Rota, Gian-Carlo 75 1960 Baxter algebras and combinatorial identities. II. Zbl 0319.05008Rota, Gian-Carlo 63 1969 Witt vectors and the algebra of necklaces. Zbl 0545.05009Metropolis, N.; Rota, Gian-Carlo 59 1983 On the foundations of combinatorial theory. II: Combinatorial geometries. Zbl 0231.05024Crapo, Henry H.; Rota, Gian-Carlo 55 1970 The classical umbral calculus. Zbl 0797.05006Rota, G.-C.; Taylor, B. D. 50 1994 On ’Alternierende Verfahren’ for general positive operators. Zbl 0116.10403Rota, Gian-Carlo 49 1962 On the exterior calculus of invariant theory. Zbl 0585.15005Barnabei, Marilena; Brini, Andrea; Rota, Gian-Carlo 49 1985 Apolarity and canonical forms for homogeneous polynomials. Zbl 0784.05019Ehrenborg, Richard; Rota, Gian-Carlo 40 1993 On the foundations of combinatorial theory. VI: The idea of generating function. Zbl 0267.05002Doubilet, Peter; Rota, Gian-Carlo; Stanley, Richard 35 1972 Ordinary differential equations. 3rd ed. Zbl 0377.34001Birkhoff, Garrett; Rota, Gian-Carlo 34 1978 Combinatorics. The Rota way. Zbl 1159.05002Kung, Joseph P. S.; Rota, Gian-Carlo; Yan, Catherine H. 26 2009 On the relations of various conjectures on Latin squares and straightening coefficients. Zbl 0797.05019Huang, Rosa; Rota, Gian-Carlo 26 1994 On the foundations of combinatorial theory. III: Theory of binomial enumeration. Zbl 0259.12001Mullin, Ronald; Rota, Gian-Carlo 26 1970 Combinatorial enumeration. With a foreword by Gian-Carlo Rota. Reprint of the 1983 original. Zbl 1099.05005Goulden, Ian P.; Jackson, David M. 25 2004 Invariant theory and superalgebras. Zbl 0648.15020Grosshans, Frank D.; Rota, Gian-Carlo; Stein, Joel A. 22 1987 Stochastic integrals: A combinatorial approach. Zbl 0886.60046Rota, Gian-Carlo; Wallstrom, Timothy C. 22 1997 Combinatorial structure of the faces of the n-cube. Zbl 0402.05010Metropolis, N.; Rota, Gian-Carlo 20 1978 Formal power series of logarithmic type. Zbl 0688.05001Loeb, Daniel E.; Rota, Gian-Carlo 20 1989 The number of subspaces of a vector space. Zbl 0196.02801Goldman, Jay; Rota, Gian-Carlo 19 1969 A cyclic derivative in noncommutative algebra. Zbl 0428.16036Rota, Gian-Carlo; Sagan, Bruce; Stein, Paul R. 19 1980 Coalgebras and bialgebras in combinatorics. Zbl 0491.05021Joni, S. A.; Rota, G.-C. 19 1982 Extension theory of differential operators. I. Zbl 0088.06303Rota, G. C. 19 1958 On the representation of averaging operators. Zbl 0096.09101Rota, G. C. 19 1960 On the Rédei zeta function. Zbl 0446.05003Kung, 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 0841.01031Rota, Gian-Carlo 17 1995 On the combinatorics of cumulants. Zbl 0978.05006Rota, Gian-Carlo; Shen, Jianhong 17 2000 Plethysm, categories and combinatorics. Zbl 0634.05010Nava, Oscar; Rota, Gian-Carlo 16 1985 \(q\)-analogs of the inclusion-exclusion principle and permutations with restricted position. Zbl 0806.05010Chen, William Y. C.; Rota, Gian-Carlo 15 1992 From sets to functions: Three elementary examples. Zbl 0469.05006Joni, S. A.; Rota, G.-C.; Sagan, B. 15 1981 On the eigenvalues of positive operators. Zbl 0107.09801Rota, G.-C. 14 1961 All polynomials of binomial type are represented by Abel polynomials. Zbl 1003.05011Rota, Gian-Carlo; Shen, Jianhong; Taylor, Brian D. 14 1997 Enumeration under group action. Zbl 0367.05008Rota, 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 0328.05007Rota, Gian-Carlo 14 1975 Symbolic method in invariant theory. Zbl 0613.15026Rota, Gian-Carlo; Stein, Joel A. 14 1986 Ten mathematics problems I will never solve. Zbl 1288.00005Rota, Gian-Carlo 12 1998 Plethystic Hopf algebras. Zbl 0831.16025Rota, 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 0557.01015MacMahon, Percy Alexander 12 1978 Fluctuation theory and Baxter algebras. Zbl 0255.08003Rota, Gian-Carlo; Smith, D. A. 12 1972 The real numbers as a wreath product. Zbl 0314.12101Faltin, F.; Metropolis, N.; Ross, B.; Rota, G.-C. 12 1975 Alternating groups as quotients of two generator groups. Zbl 0805.20023Mushtaq, Qaiser; Rota, Gian-Carlo 11 1992 A vector space analog of permutations with restricted position. Zbl 0446.05004Joni, S. A.; Rota, G.-C. 10 1980 Congruences derived from group action. Zbl 0453.05008Rota, Gian-Carlo; Sagan, Bruce 10 1980 Skew-symmetric invariant theory. Zbl 0361.15024Doubilet, Peter; Rota, Gian-Carlo 10 1976 The logic of commuting equivalence relations. Zbl 0862.03039Finberg, David; Mainetti, Matteo; Rota, Gian-Carlo 10 1996 An introduction to the umbral calculus. Zbl 0910.05010Rota, G.-C.; Taylor, B. D. 10 1993 Twelve problems in probability no one likes to bring up. Zbl 0984.60007Rota, G.-C. 9 2001 The phenomenology of mathematical beauty. Zbl 1012.00501Rota, Gian-Carlo 9 1997 Sets, numbers, and universes: selected works. Ed. by W. A. Beyer, J. Mycielski and G.-C. Rota. Zbl 0558.00017Ulam, Stanislaw 9 1974 On the foundation of combinatorial theory. X: A categorical setting for symmetric functions. Zbl 0748.05093Bonetti, Flavio; Rota, Gian-Carlo; Senato, Domenico; Venezia, Antonietta M. 8 1992 Projective resolutions of Weyl modules. Zbl 0783.15013Buchsbaum, D. A.; Rota, Gian-Carlo 8 1993 A new construction in homological algebra. Zbl 0802.18010Buchsbaum, D. A.; Rota, Gian-Carlo 8 1994 A new class of symmetric functions. Zbl 0496.20008Metropolis, N.; Nicoletti, G.; Rota, Gian-Carlo 8 1981 On Reynolds operators in finite-dimensional algebras. Zbl 0095.31304Billik, Martin; Rota, Gian-Carlo 8 1960 Une théorie unifiee des martingales et des moyennes ergodiques. Zbl 0102.13603Rota, Gian-Carlo 8 1961 A continuous analogue of Sperner’s theorem. Zbl 0865.05073Klain, Daniel A.; Rota, Gian-Carlo 8 1997 On the combinatorics of the Euler characteristic. Zbl 0299.06006Rota, Gian-Carlo 8 1971 Classic papers in combinatorics. Zbl 0612.05001 8 1987 Matching theory, an introduction. Zbl 0234.05001Rota, Gian-Carlo; Harper, L. H. 7 1971 Plethystic algebras and vector symmetric functions. Zbl 0831.16026Rota, Gian-Carlo; Stein, Joel A. 7 1994 On the maximal ergodic theorem for Abel-limits. Zbl 0117.10501Rota, G.-C. 7 1963 Note on the invariant subspaces of linear operators. Zbl 0139.08402Rota, G. C. 7 1959 Combinatorial theory, old and new. Zbl 0362.05044Rota, Gian-Carlo 7 1971 Enumerative combinatorics. Vol. 1. With a foreword by Gian-Carlo Rota. Corrected reprint of the 1986 hardback edition. Zbl 0945.05006Stanley, Richard P. 7 1999 On the lattice of faces of the n-cube. Zbl 0389.05026Metropolis, N.; Rota, Gian-Carlo 7 1978 The resolving bracket. Zbl 0927.68104Crapo, H.; Rota, G.-C. 7 1995 Umbral calculus in Hilbert space. Zbl 0902.05007Di Bucchianico, Alessandro; Loeb, Daniel E.; Rota, Gian-Carlo 7 1998 Ten lessons I wish I had been taught. Zbl 0912.01017Rota, Gian-Carlo 7 1997 The theory of Möbius functions. Zbl 0615.05006Barnabei, M.; Brini, A.; Rota, G.-C. 7 1986 Symmetry classes: Functions of three variables. Zbl 0778.05086Metropolis, N.; Rota, Gian-Carlo 6 1991 Higher-order syzygies for the bracket algebra and for the ring of coordinates of the Grassmannian. Zbl 0758.16013Anick, David; Rota, Gian-Carlo 6 1991 Approaches to resolution of Weyl modules. Zbl 1034.20040Buchsbaum, David A.; Rota, Gian-Carlo 6 2001 Partitions into chains of a class of partially ordered sets. Zbl 0391.06001Metropolis, N.; Rota, Gian-Carlo; Strehl, Volker; White, Neil 6 1978 Two rings connected with the inclusion-exclusion principle. Zbl 0392.05009D’Antona, Ottavio; Rota, Gian-Carlo 6 1978 Standard basis in supersymplectic algebras. Zbl 0699.15013Rota, Gian-Carlo; Stein, Joel A. 6 1989 Significance arithmetic: The carrying algorithm. Zbl 0259.00001Metropolis, N.; Rota, Gian-Carlo; Tanny, S. 6 1973 Applications of Cayley algebras. Zbl 0406.15007Rota, Gian-Carlo; Stein, Joel 5 1976 Supersymmetric bracket algebra and invariant theory. Zbl 0748.05013Huang, Rosa Q.; Rota, Gian-Carlo; Stein, Joel A. 5 1990 The cyclotomic identity. Zbl 0554.05006Metropolis, N.; Rota, Gian Carlo 5 1984 Classical analysis and functional analysis: selected papers. Ed. by Robert R. Kallman. Zbl 0558.46002Hille, Einar 5 1975 The valuation ring of a distributive lattice. Zbl 0298.06015Rota, Gian-Carlo 5 1973 A stochastic interpretation of the Riemann zeta-function. Zbl 0766.60017Alexander, Kenneth S.; Baclawski, Kenneth; Rota, Gian-Carlo 4 1993 The pernicious influence of mathematics upon philosophy. Zbl 0749.00006Rota, Gian-Carlo 4 1991 Theory of symmetry classes. Zbl 0757.05099Metropolis, 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 1230.00003Davis, Philip J.; Hersh, Reuben; Marchisotto, Elena Anne 1 2012 Combinatorics. The Rota way. Zbl 1159.05002Kung, 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 1131.00005Rota, Gian-Carlo 2 2008 A problem of Cayley from 1857 and how he could have solved it. Zbl 1080.05098Rota, Gian-Carlo; Stein, Joel Alvin 2 2005 Combinatorial enumeration. With a foreword by Gian-Carlo Rota. Reprint of the 1983 original. Zbl 1099.05005Goulden, 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 1159.01014Rota, Gian-Carlo 3 2003 A combinatorial overview of the Hopf algebra of MacMahon symmetric functions. Zbl 1059.16034Rosas, Mercedes H.; Rota, Gian-Carlo; Stein, Joel 1 2002 Twelve problems in probability no one likes to bring up. Zbl 0984.60007Rota, G.-C. 9 2001 Approaches to resolution of Weyl modules. Zbl 1034.20040Buchsbaum, David A.; Rota, Gian-Carlo 6 2001 What is invariant theory, really? Zbl 0968.05010Rota, G.-C. 3 2001 A formal theory of resultants. I: An algorithm in invariant theory. II: A constructive definition of the resultant. Zbl 0991.16019Rota, G.-C.; Stein, J. A. 2 2001 On the combinatorics of cumulants. Zbl 0978.05006Rota, 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 0945.05006Stanley, Richard P. 7 1999 Two turning points in invariant theory. Zbl 0922.13002Rota, Gian-Carlo 4 1999 Probability set functions. Zbl 0949.60018Bruno, William J.; Rota, Gian-Carlo; Torney, David C. 4 1999 Combinatorial snapshots. Zbl 1052.05500Rota, Gian-Carlo 2 1999 Ten mathematics problems I will never solve. Zbl 1288.00005Rota, Gian-Carlo 12 1998 Umbral calculus in Hilbert space. Zbl 0902.05007Di Bucchianico, Alessandro; Loeb, Daniel E.; Rota, Gian-Carlo 7 1998 Geometric probability. Zbl 0941.60023Rota, Gian-Carlo 2 1998 Combinatorics, representation theory and invariant theory: The story of a ménage à trois. Zbl 1061.05514Rota, Gian-Carlo 2 1998 Combinatorics on words. Foreword by Roger Lyndon. 2nd ed. Zbl 0874.20040Lothaire, M. 281 1997 Introduction to geometric probability. Zbl 0896.60004Klain, Daniel A.; Rota, Gian-Carlo 142 1997 Stochastic integrals: A combinatorial approach. Zbl 0886.60046Rota, Gian-Carlo; Wallstrom, Timothy C. 22 1997 All polynomials of binomial type are represented by Abel polynomials. Zbl 1003.05011Rota, Gian-Carlo; Shen, Jianhong; Taylor, Brian D. 14 1997 The phenomenology of mathematical beauty. Zbl 1012.00501Rota, Gian-Carlo 9 1997 A continuous analogue of Sperner’s theorem. Zbl 0865.05073Klain, Daniel A.; Rota, Gian-Carlo 8 1997 Ten lessons I wish I had been taught. Zbl 0912.01017Rota, Gian-Carlo 7 1997 The many lives of lattice theory. Zbl 0908.06001Rota, Gian-Carlo 4 1997 The phenomenology of mathematical proof. Zbl 1012.00502Rota, Gian-Carlo 3 1997 Indiscrete thoughts. With forewords by Reuben Hersh and Robert Sokolowski. Edited, with notes and an epilogue by Fabrizio Palombi. Zbl 0862.00005Rota, Gian-Carlo 1 1997 Ten lessons I wish I had been taught. Zbl 0973.00516Rota, Gian-Carlo 1 1997 The logic of commuting equivalence relations. Zbl 0862.03039Finberg, David; Mainetti, Matteo; Rota, Gian-Carlo 10 1996 Report on the present state of combinatorics. Zbl 0855.05001Rota, Gian-Carlo 2 1996 Gian-Carlo Rota on combinatorics: Introductory papers and commentaries. Edited by Joseph P. S. Kung. Zbl 0841.01031Rota, Gian-Carlo 17 1995 The resolving bracket. Zbl 0927.68104Crapo, H.; Rota, G.-C. 7 1995 Symmetry classes of functions. Zbl 0817.05076Metropolis, N.; Rota, Gian-Carlo; Stein, Joel A. 3 1995 The power of positive thinking. Zbl 0980.15512Chan, W.; Rota, G.-C.; Stein, J. 2 1995 The classical umbral calculus. Zbl 0797.05006Rota, G.-C.; Taylor, B. D. 50 1994 On the relations of various conjectures on Latin squares and straightening coefficients. Zbl 0797.05019Huang, Rosa; Rota, Gian-Carlo 26 1994 Plethystic Hopf algebras. Zbl 0831.16025Rota, Gian-Carlo; Stein, Joel A. 12 1994 A new construction in homological algebra. Zbl 0802.18010Buchsbaum, D. A.; Rota, Gian-Carlo 8 1994 Plethystic algebras and vector symmetric functions. Zbl 0831.16026Rota, Gian-Carlo; Stein, Joel A. 7 1994 Totally invariant set functions of polynomial type. Zbl 0815.52009Chen, Beifang; Rota, Gian-Carlo 3 1994 On umbral calculus. Zbl 0918.05010Di Crescenzo, Antonio; Rota, Gian-Carlo 1 1994 Apolarity and canonical forms for homogeneous polynomials. Zbl 0784.05019Ehrenborg, Richard; Rota, Gian-Carlo 40 1993 An introduction to the umbral calculus. Zbl 0910.05010Rota, G.-C.; Taylor, B. D. 10 1993 Projective resolutions of Weyl modules. Zbl 0783.15013Buchsbaum, D. A.; Rota, Gian-Carlo 8 1993 A stochastic interpretation of the Riemann zeta-function. Zbl 0766.60017Alexander, Kenneth S.; Baclawski, Kenneth; Rota, Gian-Carlo 4 1993 \(q\)-analogs of the inclusion-exclusion principle and permutations with restricted position. Zbl 0806.05010Chen, William Y. C.; Rota, Gian-Carlo 15 1992 Alternating groups as quotients of two generator groups. Zbl 0805.20023Mushtaq, Qaiser; Rota, Gian-Carlo 11 1992 On the foundation of combinatorial theory. X: A categorical setting for symmetric functions. Zbl 0748.05093Bonetti, 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 0956.00519Kac, Mark; Rota, Gian-Carlo; Schwartz, Jacob T. 2 1992 Symmetry classes: Functions of three variables. Zbl 0778.05086Metropolis, N.; Rota, Gian-Carlo 6 1991 Higher-order syzygies for the bracket algebra and for the ring of coordinates of the Grassmannian. Zbl 0758.16013Anick, David; Rota, Gian-Carlo 6 1991 The pernicious influence of mathematics upon philosophy. Zbl 0749.00006Rota, Gian-Carlo 4 1991 Theory of symmetry classes. Zbl 0757.05099Metropolis, N.; Rota, Gian-Carlo; Stein, Joel A. 4 1991 The ambiguities of the mathematical truth. (Las ambigüedades de la verdad matemática.) Zbl 1177.00025Rota, Gian-Carlo 1 1991 Recent contributions to the calculus of finite differences: A survey. Zbl 0759.05008Loeb, D.; Rota, G. C. 1 1991 Supersymmetric bracket algebra and invariant theory. Zbl 0748.05013Huang, Rosa Q.; Rota, Gian-Carlo; Stein, Joel A. 5 1990 Supersymmetric Hilbert space. Zbl 0721.46017Rota, 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 0717.05009Rota, Gian-Carlo; Sturmfels, Bernd 2 1990 Mathematics and philosophy: History of a misunderstanding. Zbl 0726.01027Rota, Gian-Carlo 1 1990 Les ambiguïtés de la pensée mathématique. Zbl 0706.00001Rota, Gian-Carlo 1 1990 Formal power series of logarithmic type. Zbl 0688.05001Loeb, Daniel E.; Rota, Gian-Carlo 20 1989 Standard basis in supersymplectic algebras. Zbl 0699.15013Rota, Gian-Carlo; Stein, Joel A. 6 1989 On artificial intelligence. Zbl 0709.00512Rota, Gian-Carlo 2 1989 Supersymmetric algebra, supersymmetric space, and invariant theory. Zbl 0731.15020Huang, Rosa Q.; Rota, Gian Carlo; Stein, Joel A. 2 1989 The barrier of meaning. In memorium: Stanislaw Ulam. Zbl 1194.01134Rota, Gian-Carlo 1 1989 Invariant theory and superalgebras. Zbl 0648.15020Grosshans, 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 0624.01025Birkhoff, Garrett 2 1987 Symbolic method in invariant theory. Zbl 0613.15026Rota, Gian-Carlo; Stein, Joel A. 14 1986 The theory of Möbius functions. Zbl 0615.05006Barnabei, M.; Brini, A.; Rota, G.-C. 7 1986 Discrete thoughts. Essays on mathematics, science, and philosophy. Zbl 0597.00034Kac, Mark; Rota, Gian-Carlo; Schwartz, Jacob T. 2 1986 On the exterior calculus of invariant theory. Zbl 0585.15005Barnabei, Marilena; Brini, Andrea; Rota, Gian-Carlo 49 1985 Plethysm, categories and combinatorics. Zbl 0634.05010Nava, Oscar; Rota, Gian-Carlo 16 1985 The invariant theory of binary forms. Zbl 0577.15020Kung, Joseph P. S.; Rota, Gian-Carlo 76 1984 The cyclotomic identity. Zbl 0554.05006Metropolis, 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 0561.01029Pólya, George 1 1984 Introduction into probability. Zbl 0598.60001Baclawski, Kenneth; Cerasoli, Mauro; Rota, Gian Carlo 1 1984 Combinatorics on words. Foreword by Roger Lyndon. Zbl 0514.20045Lothaire, M. 603 1983 Witt vectors and the algebra of necklaces. Zbl 0545.05009Metropolis, N.; Rota, Gian-Carlo 59 1983 Coalgebras and bialgebras in combinatorics. Zbl 0491.05021Joni, 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 0501.01025Study, Eduard 1 1982 From sets to functions: Three elementary examples. Zbl 0469.05006Joni, S. A.; Rota, G.-C.; Sagan, B. 15 1981 A new class of symmetric functions. Zbl 0496.20008Metropolis, N.; Nicoletti, G.; Rota, Gian-Carlo 8 1981 On the differential invariants of a linear ordinary differential equation. Zbl 0463.34012Kung, Joseph P. S.; Rota, Gian-Carlo 1 1981 Sistemi di coefficienti sezionali. II. Zbl 0491.05005Barnabei, M.; Brini, A.; Rota, G. C. 1 1981 A cyclic derivative in noncommutative algebra. Zbl 0428.16036Rota, Gian-Carlo; Sagan, Bruce; Stein, Paul R. 19 1980 On the Rédei zeta function. Zbl 0446.05003Kung, Joseph P. S.; Murty, M. Ram; Rota, Gian-Carlo 17 1980 A vector space analog of permutations with restricted position. Zbl 0446.05004Joni, S. A.; Rota, G.-C. 10 1980 Congruences derived from group action. Zbl 0453.05008Rota, 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 0446.20005Doubilet, Peter; Fox, John; Rota, Gian-Carlo 2 1980 Sistemi di coefficienti sezionali. I. Zbl 0484.05008Barnabei, M.; Brini, A.; Rota, G. C. 1 1980 Section coefficients and section sequences. Zbl 0462.05007Barnabei, Marilena; Brini, Andrea; Rota, Gian-Carlo 1 1980 Coalgebras and bialgebras in combinatorics. Zbl 0471.05020Joni, S. A.; Rota, G.-C. 142 1979 The umbral calculus. Zbl 0375.05007Roman, Steven M.; Rota, Gian-Carlo 237 1978 ...and 61 more Documents all cited Publications top 5 cited Publications 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 all top 5 Cited in 578 Serials 185 Advances in Mathematics 171 Discrete Mathematics 150 Journal of Combinatorial Theory. 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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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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