Edit Profile (opens in new tab) Gessel, Ira Martin Co-Author Distance Author ID: gessel.ira-m Published as: Gessel, Ira M.; Gessel, Ira; Gessel, I. M.; Gessel, I. more...less Homepage: http://people.brandeis.edu/~gessel/ External Links: MGP · ORCID · Wikidata · ResearchGate · MathOverflow · dblp · IdRef · theses.fr Documents Indexed: 113 Publications since 1978, including 8 Additional arXiv Preprints 3 Contributions as Editor · 3 Further Contributions Biographic References: 1 Publication Co-Authors: 65 Co-Authors with 70 Joint Publications 1,969 Co-Co-Authors all top 5 Co-Authors 46 single-authored 7 Zhuang, Yan 5 Xin, Guoce 4 Stanton, Dennis W. 3 Adin, Ron M. 3 Labelle, Gilbert 3 Larcombe, Peter J. 3 Wilf, Herbert S. 3 Zeilberger, Doron 2 Beck, Matthias 2 Fowler, Tom 2 Gainer-Dewar, Andrew 2 Griffin, Sean T. 2 Leroux, Pierre 2 Li, Ji 2 Reutenauer, Christophe 2 Roichman, Yuval 2 Rota, Gian-Carlo 2 Sagan, Bruce Eli 2 Savage, Carla Diane 2 Shur, Walter 2 Stanley, Richard Peter 2 Tewari, Vasu V. 2 Zeng, Jiang 1 Andrews, George Eyre 1 Archer, Kassie 1 Belbachir, Hacene 1 Chen, William Yong-Chuan 1 Chow, Chak-On 1 Corteel, Sylvie 1 Drake, Brian 1 French, David R. 1 Friedman, Jane E. 1 Garsia, Adriano M. 1 Goddard, Wayne Dean 1 Graves, Christina M. 1 Helfgott, Harald Andrés 1 Jayawant, Pallavi 1 Jayawant, Pallayi 1 Kalikow, Louis H. 1 Kar, Ishan 1 Kim, Jang Soo 1 Komatsu, Takao 1 Krattenthaler, Christian Friedrich 1 Lee, Sunyoung 1 Lengyel, Tamás 1 Levine, Adam Simon 1 Liang, Xuming 1 Lin, Zhicong 1 Loehr, Nicholas A. 1 Lv, Lun 1 Mansour, Toufik 1 Monsky, Paul 1 Rahmani, Mourad 1 Ree, Sangwook 1 Reiner, Victor 1 Restivo, Antonio 1 Rogers, Douglas G. 1 Ruberman, Daniel 1 Seo, Seunghyun 1 Shapiro, Louis W. 1 Strle, Sašo 1 Victor, Reiner 1 Viennot, Xavier Gérard 1 Wang, Da-Lun 1 Weinstein, Jonathan 1 Yan, Catherine Huafei 1 Yang, Arthur L. B. 1 Yeh, Yeong-Nan 1 Yen, Lily 1 Yuval, Roichman 1 Zhou, Yue all top 5 Serials 18 Journal of Combinatorial Theory. Series A 12 The Electronic Journal of Combinatorics 9 Discrete Mathematics 7 Séminaire Lotharingien de Combinatoire 5 Advances in Mathematics 4 Utilitas Mathematica 4 Journal of Integer Sequences 3 American Mathematical Monthly 3 Journal of Statistical Planning and Inference 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 The Ramanujan Journal 2 The Fibonacci Quarterly 2 Journal of Graph Theory 2 Journal of Number Theory 2 European Journal of Combinatorics 2 Advances in Applied Mathematics 2 Journal of Symbolic Computation 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Algebra Universalis 1 Annales des Sciences Mathématiques du Québec 1 Canadian Journal of Mathematics 1 Linear Algebra and its Applications 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 The Australasian Journal of Combinatorics 1 Geometry & Topology 1 Annals of Combinatorics 1 Integers 1 Applicable Analysis and Discrete Mathematics 1 Modern Birkhäuser Classics 1 Algebraic Combinatorics 1 Enumerative Combinatorics and Applications all top 5 Fields 106 Combinatorics (05-XX) 28 Number theory (11-XX) 19 Special functions (33-XX) 4 History and biography (01-XX) 4 Probability theory and stochastic processes (60-XX) 3 General and overarching topics; collections (00-XX) 3 Group theory and generalizations (20-XX) 3 Computer science (68-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 98 Publications have been cited 2,302 times in 1,910 Documents Cited by ▼ Year ▼ Binomial determinants, paths, and hook length formulae. Zbl 0579.05004 Gessel, Ira; Viennot, Gérard 391 1985 Counting permutations with given cycle structure and descent set. Zbl 0793.05004 Gessel, Ira M.; Reutenauer, Christophe 136 1993 Symmetric functions and P-recursiveness. Zbl 0704.05001 Gessel, Ira M. 129 1990 Multipartite P-partitions and inner products of skew Schur functions. Zbl 0562.05007 Gessel, Ira M. 125 1984 Stirling polynomials. Zbl 0378.05006 Gessel, Ira; Stanley, Richard P. 93 1978 Strange evaluations of hypergeometric series. Zbl 0486.33003 Gessel, Ira; Stanton, Dennis 77 1982 Applications of \(q\)-Lagrange inversion to basic hypergeometric series. Zbl 0513.33001 Gessel, Ira; Stanton, Dennis 69 1983 Permutation statistics and partitions. Zbl 0431.05007 Garsia, A. M.; Gessel, I. 69 1979 A noncommutative generalization and q-analog of the Lagrange inversion formula. Zbl 0459.05014 Gessel, Ira 61 1980 On Miki’s identity for Bernoulli numbers. Zbl 1073.11013 Gessel, Ira M. 52 2005 Cylindric partitions. Zbl 0865.05003 Gessel, Ira M.; Krattenthaler, C. 52 1997 Applications of the classical umbral calculus. Zbl 1092.05005 Gessel, Ira M. 51 2003 Some congruences for Apery numbers. Zbl 0482.10003 Gessel, Ira 50 1982 Random walk in a Weyl chamber. Zbl 0792.05148 Gessel, Ira M.; Zeilberger, Doron 47 1992 Lagrange inversion. Zbl 1343.05021 Gessel, Ira M. 47 2016 A combinatorial proof of the multivariable Lagrange inversion formula. Zbl 0651.05009 Gessel, Ira M. 42 1987 A refinement of Cayley’s formula for trees. Zbl 1080.05005 Gessel, Ira M.; Seo, Seunghyun 35 2006 A \(q\)-analog of the exponential formula. Zbl 0485.05004 Gessel, Ira M. 32 1982 A probabilistic method for lattice path enumeration. Zbl 0602.05006 Gessel, Ira M. 32 1986 On the descent numbers and major indices for the hyperoctahedral group. Zbl 1124.05005 Chow, Chak-On; Gessel, Ira M. 29 2007 Finding identities with the WZ method. Zbl 0908.33004 Gessel, Ira M. 29 1995 The generating function of ternary trees and continued fractions. Zbl 1098.05006 Gessel, Ira M.; Xin, Guoce 27 2006 Super ballot numbers. Zbl 0754.05002 Gessel, Ira M. 26 1992 The Tutte polynomial of a graph, depth-first search, and simplicial complex partitions. Zbl 0857.05046 Gessel, Ira M.; Sagan, Bruce E. 24 1996 Depth-first search as a combinatorial correspondence. Zbl 0417.05031 Gessel, Ira; Wang, Da-Lun 21 1979 Enumerative applications of a decomposition for graphs and digraphs. Zbl 0827.05045 Gessel, Ira M. 20 1995 Algebraic enumeration. Zbl 0853.05002 Gessel, Ira M.; Stanley, Richard P. 20 1995 The polynomial part of a restricted partition function related to the Frobenius problem. Zbl 0982.05010 Beck, Matthias; Gessel, Ira M.; Komatsu, Takao 19 2001 Enumeration of tilings of diamonds and hexagons with defects. Zbl 0916.05018 Helfgott, Harald A.; Gessel, Ira M. 19 1999 Shuffle-compatible permutation statistics. Zbl 1388.05008 Gessel, Ira M.; Zhuang, Yan 18 2018 Jacobi-Stirling polynomials and \(P\)-partitions. Zbl 1248.05005 Gessel, Ira M.; Lin, Zhicong; Zeng, Jiang 17 2012 Signed Mahonians. Zbl 1059.05002 Adin, Ron M.; Gessel, Ira M.; Roichman, Yuval 17 2005 Divisibility properties of the q-tangent numbers. Zbl 0401.10020 Andrews, George E.; Gessel, Ira 17 1978 Generating functions and generalized Dedekind sums. Zbl 1036.11504 Gessel, Ira M. 16 1997 Another family of q-Lagrange inversion formulas. Zbl 0613.33003 Gessel, Ira; Stanton, Dennis 16 1986 Short proofs of Saalschütz’s and Dixon’s theorems. Zbl 0559.05008 Gessel, Ira; Stanton, Dennis 15 1985 A short proof of the Zeilberger-Bressoud \(q\)-Dyson theorem. Zbl 1104.05009 Gessel, Ira M.; Xin, Guoce 15 2006 A coloring problem. Zbl 0771.05009 Gessel, Ira M. 15 1991 Tournaments and Vandermonde’s determinant. Zbl 0433.05008 Gessel, Ira 15 1979 The specification of 2-trees. Zbl 1003.05054 Fowler, Tom; Gessel, Ira; Labelle, Gilbert; Leroux, Pierre 14 2002 Enumeration of trees by inversions. Zbl 0833.05045 Gessel, Ira M.; Sagan, Bruce E.; Yeh, Yeong-Nan 12 1995 Counting permutations by alternating descents. Zbl 1302.05007 Gessel, Ira M.; Zhuang, Yan 12 2014 Some congruences for generalized Euler numbers. Zbl 0493.10014 Gessel, Ira M. 11 1983 Lattice walks in \({\mathbf Z}^ d\) and permutations with no long ascending subsequences. Zbl 0885.05010 Gessel, Ira; Weinstein, Jonathan; Wilf, Herbert S. 11 1998 Classic papers in combinatorics. Zbl 0612.05001 11 1987 Lagrange inversion for species. Zbl 0833.05081 Gessel, Ira M.; Labelle, Gilbert 10 1995 Counting Latin rectangles. Zbl 0617.05015 Gessel, Ira M. 10 1987 Counting acyclic digraphs by sources and sinks. Zbl 0863.05042 Gessel, Ira M. 10 1996 Congruences for Bell and tangent numbers. Zbl 0451.10008 Gessel, Ira 10 1981 Nonorientable surfaces in homology cobordisms (with an appendix by Ira M. Gessel). Zbl 1311.57019 Levine, Adam; Ruberman, Daniel; Strle, Sašo 10 2015 Generalized rook polynomials and orthogonal polynomials. Zbl 0693.05001 Gessel, Ira M. 9 1989 Lattice paths and Faber polynomials. Zbl 0882.05005 Gessel, Ira M.; Ree, Sangwook 9 1997 Counting paths in Young’s lattice. Zbl 0805.05088 Gessel, Ira M. 9 1993 A historical survey on \(P\)-partitions. Zbl 1364.05011 Gessel, Ira M. 9 2016 Counting unlabeled \(k\)-trees. Zbl 1295.05078 Gainer-Dewar, Andrew; Gessel, Ira M. 9 2014 Cyclic quasi-symmetric functions. Zbl 1471.05112 Adin, Ron M.; Gessel, Ira M.; Reiner, Victor; Roichman, Yuval 9 2021 Compositions and Fibonacci identities. Zbl 1292.05025 Gessel, Ira M.; Li, Ji 8 2013 A bijection between words and multisets of necklaces. Zbl 1244.05016 Gessel, Ira M.; Restivo, Antonio; Reutenauer, Christophe 7 2012 Schur positivity and labeled binary trees. Zbl 1384.05135 Gessel, Ira M.; Griffin, Sean; Tewari, Vasu 7 2017 Acyclic orientations and chromatic generating functions. Zbl 0979.05052 Gessel, Ira M. 7 2001 A unified elementary approach to the Dyson, Morris, Aomoto, and Forrester constant term identities. Zbl 1207.05016 Gessel, Ira M.; Lv, Lun; Xin, Guoce; Zhou, Yue 7 2008 Two theorems on rational power series. Zbl 0477.13008 Gessel, Ira M. 7 1981 Counting pairs of lattice paths by intersections. Zbl 0853.05003 Gessel, Ira; Goddard, Wayne; Shur, Walter; Wilf, Herbert S.; Yen, Lily 6 1996 Counting forests by descents and leaves. Zbl 0858.05054 Gessel, Ira 6 1996 Counting tanglegrams with species. Zbl 1471.05045 Gessel, Ira M. 6 2021 Combinatorial proofs of congruences. Zbl 0553.10003 Gessel, Ira M. 5 1984 Enumerative applications of symmetric functions. Zbl 0978.05537 Gessel, Ira 5 1987 On the number of convex polyominoes. Zbl 1100.05502 Gessel, Ira M. 5 2000 Wolstenholme revisited. Zbl 0996.11005 Gessel, Ira M. 5 1998 A triple lacunary generating function for Hermite polynomials. Zbl 1078.33014 Gessel, Ira M.; Jayawant, Pallayi 5 2005 Counting three-line latin rectangles. Zbl 0612.05015 Gessel, Ira M. 5 1986 Hypergraphs and a functional equation of Bouwkamp and de Bruijn. Zbl 1064.05106 Gessel, Ira M.; Kalikow, Louis H. 5 2005 Enumeration of bipartite graphs and bipartite blocks. Zbl 1300.05129 Gainer-Dewar, Andrew; Gessel, Ira M. 5 2014 A \(q\)-analog of the exponential formula. (Reprint). Zbl 1094.05004 Gessel, Ira M. 4 2006 A major index for matchings and set partitions. Zbl 1184.05009 Chen, William Y. C.; Gessel, Ira M.; Yan, Catherine H.; Yang, Arthur L. B. 4 2008 Plethystic formulas for permutation enumeration. Zbl 1453.05007 Gessel, Ira M.; Zhuang, Yan 4 2020 Enumeration of point-determining graphs. Zbl 1238.05136 Gessel, Ira M.; Li, Ji 3 2011 Specifying 2-trees. Zbl 0958.05027 Fowler, Tom; Gessel, Ira; Labelle, Gilbert; Leroux, Pierre 3 2000 On the order of Stirling numbers and alternating binomial coefficient sums. Zbl 1019.11004 Gessel, Ira M.; Lengyel, Tamás 3 2001 A combinatorial interpretation of the numbers \(6(2n)!/n!(n+2)!\). Zbl 1064.05006 Gessel, Ira M.; Xin, Guoce 3 2005 On the Schur function expansion of a symmetric quasi-symmetric function. Zbl 1431.05146 Gessel, Ira M. 3 2019 Cyclic quasi-symmetric functions. Zbl 1435.05202 Adin, Ron M.; Gessel, Ira M.; Victor, Reiner; Yuval, Roichman 3 2019 Some generalized Durfee square identities. Zbl 0547.05009 Gessel, Ira M. 2 1984 Symmetrically constrained compositions. Zbl 1218.05019 Beck, Matthias; Gessel, Ira M.; Lee, Sunyoung; Savage, Carla D. 2 2010 Even and odd pairs of lattice paths with multiple intersections. Zbl 0866.05002 Gessel, Ira M.; Shur, Walter 2 1996 Classic papers in combinatorics. Reprint of the 1987 original. Zbl 1154.05001 2 2009 Labeled binary trees, subarrangements of the Catalan arrangements, and Schur positivity. Zbl 1429.05182 Gessel, Ira M.; Griffin, Sean T.; Tewari, Vasu 2 2019 Reciprocals of exponential polynomials and permutation enumeration. Zbl 1419.05018 Gessel, Ira M. 2 2019 On Gessel-Kaneko’s identity for Bernoulli numbers. With an appendix by Ira M. Gessel. Zbl 1299.11021 Belbachir, Hacène; Rahmani, Mourad 2 2013 The joint distribution of descent and major index over restricted sets of permutations. Zbl 1141.05012 Corteel, Sylvie; Gessel, Ira M.; Savage, Carla D.; Wilf, Herbert S. 1 2007 Three proofs and a generalization of the Goulden-Litsyn-Shevelev conjecture on a sequence arising in algebraic geometry. Zbl 1243.11015 Drake, Brian; Gessel, Ira M.; Xin, Guoce 1 2007 Multilinear generating functions for Charlier polynomials. Zbl 1200.33011 Gessel, Ira M.; Jayawant, Pallavi 1 2010 Note on enumeration of partitions contained in a given shape. Zbl 1188.05017 Gessel, Ira M.; Loehr, Nicholas 1 2010 Symmetric inclusion-exclusion. Zbl 1086.05011 Gessel, Ira M. 1 2005 On the identity of von Szily: Original derivation and a new proof. Zbl 1035.05011 Larcombe, Peter J.; French, David R.; Gessel, Ira M. 1 2003 A simple proof of Andrews’s \(_5F_4\) evaluation. Zbl 1305.33013 Gessel, Ira M. 1 2015 A note on 2-distant noncrossing partitions and weighted Motzkin paths. Zbl 1225.05020 Gessel, Ira M.; Kim, Jang Soo 1 2010 Moments of orthogonal polynomials and exponential generating functions. Zbl 07695123 Gessel, Ira M.; Zeng, Jiang 1 2023 Moments of orthogonal polynomials and exponential generating functions. Zbl 07695123 Gessel, Ira M.; Zeng, Jiang 1 2023 Cyclic quasi-symmetric functions. Zbl 1471.05112 Adin, Ron M.; Gessel, Ira M.; Reiner, Victor; Roichman, Yuval 9 2021 Counting tanglegrams with species. Zbl 1471.05045 Gessel, Ira M. 6 2021 Plethystic formulas for permutation enumeration. Zbl 1453.05007 Gessel, Ira M.; Zhuang, Yan 4 2020 On the Schur function expansion of a symmetric quasi-symmetric function. Zbl 1431.05146 Gessel, Ira M. 3 2019 Cyclic quasi-symmetric functions. Zbl 1435.05202 Adin, Ron M.; Gessel, Ira M.; Victor, Reiner; Yuval, Roichman 3 2019 Labeled binary trees, subarrangements of the Catalan arrangements, and Schur positivity. Zbl 1429.05182 Gessel, Ira M.; Griffin, Sean T.; Tewari, Vasu 2 2019 Reciprocals of exponential polynomials and permutation enumeration. Zbl 1419.05018 Gessel, Ira M. 2 2019 Shuffle-compatible permutation statistics. Zbl 1388.05008 Gessel, Ira M.; Zhuang, Yan 18 2018 Schur positivity and labeled binary trees. Zbl 1384.05135 Gessel, Ira M.; Griffin, Sean; Tewari, Vasu 7 2017 Lagrange inversion. Zbl 1343.05021 Gessel, Ira M. 47 2016 A historical survey on \(P\)-partitions. Zbl 1364.05011 Gessel, Ira M. 9 2016 Nonorientable surfaces in homology cobordisms (with an appendix by Ira M. Gessel). Zbl 1311.57019 Levine, Adam; Ruberman, Daniel; Strle, Sašo 10 2015 A simple proof of Andrews’s \(_5F_4\) evaluation. Zbl 1305.33013 Gessel, Ira M. 1 2015 Counting permutations by alternating descents. Zbl 1302.05007 Gessel, Ira M.; Zhuang, Yan 12 2014 Counting unlabeled \(k\)-trees. Zbl 1295.05078 Gainer-Dewar, Andrew; Gessel, Ira M. 9 2014 Enumeration of bipartite graphs and bipartite blocks. Zbl 1300.05129 Gainer-Dewar, Andrew; Gessel, Ira M. 5 2014 Compositions and Fibonacci identities. Zbl 1292.05025 Gessel, Ira M.; Li, Ji 8 2013 On Gessel-Kaneko’s identity for Bernoulli numbers. With an appendix by Ira M. Gessel. Zbl 1299.11021 Belbachir, Hacène; Rahmani, Mourad 2 2013 Jacobi-Stirling polynomials and \(P\)-partitions. Zbl 1248.05005 Gessel, Ira M.; Lin, Zhicong; Zeng, Jiang 17 2012 A bijection between words and multisets of necklaces. Zbl 1244.05016 Gessel, Ira M.; Restivo, Antonio; Reutenauer, Christophe 7 2012 Enumeration of point-determining graphs. Zbl 1238.05136 Gessel, Ira M.; Li, Ji 3 2011 Symmetrically constrained compositions. Zbl 1218.05019 Beck, Matthias; Gessel, Ira M.; Lee, Sunyoung; Savage, Carla D. 2 2010 Multilinear generating functions for Charlier polynomials. Zbl 1200.33011 Gessel, Ira M.; Jayawant, Pallavi 1 2010 Note on enumeration of partitions contained in a given shape. Zbl 1188.05017 Gessel, Ira M.; Loehr, Nicholas 1 2010 A note on 2-distant noncrossing partitions and weighted Motzkin paths. Zbl 1225.05020 Gessel, Ira M.; Kim, Jang Soo 1 2010 Classic papers in combinatorics. Reprint of the 1987 original. Zbl 1154.05001 2 2009 A unified elementary approach to the Dyson, Morris, Aomoto, and Forrester constant term identities. Zbl 1207.05016 Gessel, Ira M.; Lv, Lun; Xin, Guoce; Zhou, Yue 7 2008 A major index for matchings and set partitions. Zbl 1184.05009 Chen, William Y. C.; Gessel, Ira M.; Yan, Catherine H.; Yang, Arthur L. B. 4 2008 On the descent numbers and major indices for the hyperoctahedral group. Zbl 1124.05005 Chow, Chak-On; Gessel, Ira M. 29 2007 The joint distribution of descent and major index over restricted sets of permutations. Zbl 1141.05012 Corteel, Sylvie; Gessel, Ira M.; Savage, Carla D.; Wilf, Herbert S. 1 2007 Three proofs and a generalization of the Goulden-Litsyn-Shevelev conjecture on a sequence arising in algebraic geometry. Zbl 1243.11015 Drake, Brian; Gessel, Ira M.; Xin, Guoce 1 2007 A refinement of Cayley’s formula for trees. Zbl 1080.05005 Gessel, Ira M.; Seo, Seunghyun 35 2006 The generating function of ternary trees and continued fractions. Zbl 1098.05006 Gessel, Ira M.; Xin, Guoce 27 2006 A short proof of the Zeilberger-Bressoud \(q\)-Dyson theorem. Zbl 1104.05009 Gessel, Ira M.; Xin, Guoce 15 2006 A \(q\)-analog of the exponential formula. (Reprint). Zbl 1094.05004 Gessel, Ira M. 4 2006 On Miki’s identity for Bernoulli numbers. Zbl 1073.11013 Gessel, Ira M. 52 2005 Signed Mahonians. Zbl 1059.05002 Adin, Ron M.; Gessel, Ira M.; Roichman, Yuval 17 2005 A triple lacunary generating function for Hermite polynomials. Zbl 1078.33014 Gessel, Ira M.; Jayawant, Pallayi 5 2005 Hypergraphs and a functional equation of Bouwkamp and de Bruijn. Zbl 1064.05106 Gessel, Ira M.; Kalikow, Louis H. 5 2005 A combinatorial interpretation of the numbers \(6(2n)!/n!(n+2)!\). Zbl 1064.05006 Gessel, Ira M.; Xin, Guoce 3 2005 Symmetric inclusion-exclusion. Zbl 1086.05011 Gessel, Ira M. 1 2005 Applications of the classical umbral calculus. Zbl 1092.05005 Gessel, Ira M. 51 2003 On the identity of von Szily: Original derivation and a new proof. Zbl 1035.05011 Larcombe, Peter J.; French, David R.; Gessel, Ira M. 1 2003 The specification of 2-trees. Zbl 1003.05054 Fowler, Tom; Gessel, Ira; Labelle, Gilbert; Leroux, Pierre 14 2002 The polynomial part of a restricted partition function related to the Frobenius problem. Zbl 0982.05010 Beck, Matthias; Gessel, Ira M.; Komatsu, Takao 19 2001 Acyclic orientations and chromatic generating functions. Zbl 0979.05052 Gessel, Ira M. 7 2001 On the order of Stirling numbers and alternating binomial coefficient sums. Zbl 1019.11004 Gessel, Ira M.; Lengyel, Tamás 3 2001 On the number of convex polyominoes. Zbl 1100.05502 Gessel, Ira M. 5 2000 Specifying 2-trees. Zbl 0958.05027 Fowler, Tom; Gessel, Ira; Labelle, Gilbert; Leroux, Pierre 3 2000 Enumeration of tilings of diamonds and hexagons with defects. Zbl 0916.05018 Helfgott, Harald A.; Gessel, Ira M. 19 1999 Lattice walks in \({\mathbf Z}^ d\) and permutations with no long ascending subsequences. Zbl 0885.05010 Gessel, Ira; Weinstein, Jonathan; Wilf, Herbert S. 11 1998 Wolstenholme revisited. Zbl 0996.11005 Gessel, Ira M. 5 1998 Cylindric partitions. Zbl 0865.05003 Gessel, Ira M.; Krattenthaler, C. 52 1997 Generating functions and generalized Dedekind sums. Zbl 1036.11504 Gessel, Ira M. 16 1997 Lattice paths and Faber polynomials. Zbl 0882.05005 Gessel, Ira M.; Ree, Sangwook 9 1997 The Tutte polynomial of a graph, depth-first search, and simplicial complex partitions. Zbl 0857.05046 Gessel, Ira M.; Sagan, Bruce E. 24 1996 Counting acyclic digraphs by sources and sinks. Zbl 0863.05042 Gessel, Ira M. 10 1996 Counting pairs of lattice paths by intersections. Zbl 0853.05003 Gessel, Ira; Goddard, Wayne; Shur, Walter; Wilf, Herbert S.; Yen, Lily 6 1996 Counting forests by descents and leaves. Zbl 0858.05054 Gessel, Ira 6 1996 Even and odd pairs of lattice paths with multiple intersections. Zbl 0866.05002 Gessel, Ira M.; Shur, Walter 2 1996 Finding identities with the WZ method. Zbl 0908.33004 Gessel, Ira M. 29 1995 Enumerative applications of a decomposition for graphs and digraphs. Zbl 0827.05045 Gessel, Ira M. 20 1995 Algebraic enumeration. Zbl 0853.05002 Gessel, Ira M.; Stanley, Richard P. 20 1995 Enumeration of trees by inversions. Zbl 0833.05045 Gessel, Ira M.; Sagan, Bruce E.; Yeh, Yeong-Nan 12 1995 Lagrange inversion for species. Zbl 0833.05081 Gessel, Ira M.; Labelle, Gilbert 10 1995 Counting permutations with given cycle structure and descent set. Zbl 0793.05004 Gessel, Ira M.; Reutenauer, Christophe 136 1993 Counting paths in Young’s lattice. Zbl 0805.05088 Gessel, Ira M. 9 1993 Random walk in a Weyl chamber. Zbl 0792.05148 Gessel, Ira M.; Zeilberger, Doron 47 1992 Super ballot numbers. Zbl 0754.05002 Gessel, Ira M. 26 1992 A coloring problem. Zbl 0771.05009 Gessel, Ira M. 15 1991 Symmetric functions and P-recursiveness. Zbl 0704.05001 Gessel, Ira M. 129 1990 Generalized rook polynomials and orthogonal polynomials. Zbl 0693.05001 Gessel, Ira M. 9 1989 A combinatorial proof of the multivariable Lagrange inversion formula. Zbl 0651.05009 Gessel, Ira M. 42 1987 Classic papers in combinatorics. Zbl 0612.05001 11 1987 Counting Latin rectangles. Zbl 0617.05015 Gessel, Ira M. 10 1987 Enumerative applications of symmetric functions. Zbl 0978.05537 Gessel, Ira 5 1987 A probabilistic method for lattice path enumeration. Zbl 0602.05006 Gessel, Ira M. 32 1986 Another family of q-Lagrange inversion formulas. Zbl 0613.33003 Gessel, Ira; Stanton, Dennis 16 1986 Counting three-line latin rectangles. Zbl 0612.05015 Gessel, Ira M. 5 1986 Binomial determinants, paths, and hook length formulae. Zbl 0579.05004 Gessel, Ira; Viennot, Gérard 391 1985 Short proofs of Saalschütz’s and Dixon’s theorems. Zbl 0559.05008 Gessel, Ira; Stanton, Dennis 15 1985 Multipartite P-partitions and inner products of skew Schur functions. Zbl 0562.05007 Gessel, Ira M. 125 1984 Combinatorial proofs of congruences. Zbl 0553.10003 Gessel, Ira M. 5 1984 Some generalized Durfee square identities. Zbl 0547.05009 Gessel, Ira M. 2 1984 Applications of \(q\)-Lagrange inversion to basic hypergeometric series. Zbl 0513.33001 Gessel, Ira; Stanton, Dennis 69 1983 Some congruences for generalized Euler numbers. Zbl 0493.10014 Gessel, Ira M. 11 1983 Strange evaluations of hypergeometric series. Zbl 0486.33003 Gessel, Ira; Stanton, Dennis 77 1982 Some congruences for Apery numbers. Zbl 0482.10003 Gessel, Ira 50 1982 A \(q\)-analog of the exponential formula. Zbl 0485.05004 Gessel, Ira M. 32 1982 Congruences for Bell and tangent numbers. Zbl 0451.10008 Gessel, Ira 10 1981 Two theorems on rational power series. Zbl 0477.13008 Gessel, Ira M. 7 1981 A noncommutative generalization and q-analog of the Lagrange inversion formula. Zbl 0459.05014 Gessel, Ira 61 1980 Permutation statistics and partitions. Zbl 0431.05007 Garsia, A. M.; Gessel, I. 69 1979 Depth-first search as a combinatorial correspondence. Zbl 0417.05031 Gessel, Ira; Wang, Da-Lun 21 1979 Tournaments and Vandermonde’s determinant. Zbl 0433.05008 Gessel, Ira 15 1979 Stirling polynomials. Zbl 0378.05006 Gessel, Ira; Stanley, Richard P. 93 1978 Divisibility properties of the q-tangent numbers. Zbl 0401.10020 Andrews, George E.; Gessel, Ira 17 1978 all cited Publications top 5 cited Publications all top 5 Cited by 1,858 Authors 35 Zeng, Jiang 34 Chu, Wenchang 32 Gessel, Ira Martin 29 Krattenthaler, Christian Friedrich 27 Chen, William Yong-Chuan 24 Sagan, Bruce Eli 22 Han, Guo-Niu 20 Guo, Victor J. W. 20 Kim, Dae San 20 Kim, Taekyun 20 Roichman, Yuval 20 Zeilberger, Doron 18 Elizalde, Sergi 17 Foata, Dominique C. 17 Ma, Shi-Mei 16 Di Francesco, Philippe 16 Mansour, Toufik 14 Yeh, Yeong-Nan 13 Adin, Ron M. 13 Bousquet-Mélou, Mireille 13 Van Willigenburg, Stephanie J. 12 Lin, Zhicong 12 Remmel, Jeffrey Brian 12 Wachs, Michelle Lynn 12 Xin, Guoce 12 Zhuang, Yan 11 Eu, Sen-Peng 11 Fulman, Jason E. 11 Lai, Tri 11 Tewari, Vasu V. 10 Bostan, Alin 10 Cheon, Gi-Sang 10 Ciucu, Mihai 10 Corteel, Sylvie 10 Fischer, Ilse 9 Diaconis, Persi Warren 9 Hopkins, Samuel Francis 9 Kim, Jang Soo 9 Labelle, Gilbert 9 Mishna, Marni 9 Novelli, Jean-Christophe 9 Panholzer, Alois 9 Reiner, Victor 9 Reutenauer, Christophe 9 Sciortino, Marinella 9 Sun, Yidong 9 Thibon, Jean-Yves 9 Warnaar, S. Ole 8 Bernardi, Olivier 8 Chen, Xiaojing 8 Jin, Emma Yu 8 Konvalinka, Matjaž 8 Ma, Jun 8 Mason, Sarah K. 8 Milne, Stephen C. 8 Morales, Alejandro Henry 8 Savage, Carla Diane 8 Vignat, Christophe 8 Zhu, Baoxuan 7 Agoh, Takashi 7 Archer, Kassie 7 Fu, Tung-Shan 7 Fusy, Éric 7 Garsia, Adriano M. 7 Grinberg, Darij 7 Korff, Christian 7 Kuba, Markus F. 7 Leroux, Pierre 7 Liu, Jicai 7 Pak, Igor 7 Raschel, Kilian 7 Restivo, Antonio 7 Rosone, Giovanna 7 Schlosser, Michael J. 7 Searles, Dominic 7 Stanton, Dennis W. 7 Zhou, Yue 6 Assaf, Sami H. 6 Beck, Matthias 6 Borodin, Alexei 6 Brenti, Francesco 6 Désarménien, Jacques 6 Dolgiĭ, Dmitriĭ Viktorovich 6 Fomin, Sergey Vladimirovich 6 Goulden, Ian P. 6 Guitter, Emmanuel 6 Guttmann, Anthony John 6 Haglund, James 6 Ismail, Mourad El-Houssieny 6 Kauers, Manuel 6 Kwon, JongKyum 6 Ma, Xinrong 6 Makowsky, Johann-Andreas 6 McNamara, Peter R. W. 6 Melczer, Stephen 6 Merca, Mircea 6 O’Sullivan, Cormac 6 Prodinger, Helmut 6 Rawlings, Don 6 Regev, Amitai ...and 1,758 more Authors all top 5 Cited in 269 Serials 171 Journal of Combinatorial Theory. Series A 146 Discrete Mathematics 114 Advances in Applied Mathematics 113 The Electronic Journal of Combinatorics 100 European Journal of Combinatorics 62 Advances in Mathematics 55 Journal of Algebraic Combinatorics 50 Séminaire Lotharingien de Combinatoire 40 The Ramanujan Journal 40 Annals of Combinatorics 34 Journal of Number Theory 28 Theoretical Computer Science 28 Linear Algebra and its Applications 27 Proceedings of the American Mathematical Society 23 Discrete Applied Mathematics 23 Transactions of the American Mathematical Society 22 Journal of Statistical Planning and Inference 21 Algebraic Combinatorics 20 Communications in Mathematical Physics 20 Journal of Algebra 18 Journal of Mathematical Analysis and Applications 18 Graphs and Combinatorics 17 Integral Transforms and Special Functions 16 Journal of Integer Sequences 14 Journal of Computational and Applied Mathematics 14 Integers 14 Enumerative Combinatorics and Applications 11 International Journal of Number Theory 10 SIAM Journal on Discrete Mathematics 10 Journal of Difference Equations and Applications 9 Journal of Statistical Physics 9 Rocky Mountain Journal of Mathematics 9 Advances in Difference Equations 9 Journal of Statistical Mechanics: Theory and Experiment 9 Journal of Physics A: Mathematical and Theoretical 8 Israel Journal of Mathematics 8 The Annals of Probability 8 Memoirs of the American Mathematical Society 8 Journal of Symbolic Computation 8 Bulletin of the American Mathematical Society. New Series 8 Selecta Mathematica. New Series 7 American Mathematical Monthly 7 Duke Mathematical Journal 7 Journal of Pure and Applied Algebra 7 Random Structures & Algorithms 7 Journal of Mathematical Sciences (New York) 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Indian Journal of Pure & Applied Mathematics 6 Journal of Mathematical Physics 6 Letters in Mathematical Physics 6 Nuclear Physics. B 6 Combinatorica 6 Probability Theory and Related Fields 6 Combinatorics, Probability and Computing 6 Research in Number Theory 5 Linear and Multilinear Algebra 5 Compositio Mathematica 5 Journal of Approximation Theory 5 Journal of Combinatorial Theory. Series B 5 Quaestiones Mathematicae 5 Results in Mathematics 5 Studies in Applied Mathematics 5 Algorithmica 5 Experimental Mathematics 5 Turkish Journal of Mathematics 5 Combinatorial Theory 4 Bulletin of the Australian Mathematical Society 4 Information Processing Letters 4 Applied Mathematics and Computation 4 Acta Applicandae Mathematicae 4 Constructive Approximation 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 The Australasian Journal of Combinatorics 4 Journal of High Energy Physics 4 Open Mathematics 3 Communications in Algebra 3 Communications on Pure and Applied Mathematics 3 Mathematical Notes 3 Bulletin of Mathematical Biology 3 Journal of Geometry and Physics 3 The Mathematical Intelligencer 3 Annales de l’Institut Fourier 3 The Annals of Statistics 3 Archiv der Mathematik 3 Czechoslovak Mathematical Journal 3 Functional Analysis and its Applications 3 Inventiones Mathematicae 3 Monatshefte für Mathematik 3 Physica D 3 Journal of the American Mathematical Society 3 Aequationes Mathematicae 3 Expositiones Mathematicae 3 Journal de Théorie des Nombres de Bordeaux 3 Bulletin des Sciences Mathématiques 3 Journal of Inequalities and Applications 3 Discrete Mathematics and Theoretical Computer Science. DMTCS 3 Journal of the European Mathematical Society (JEMS) 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Mediterranean Journal of Mathematics ...and 169 more Serials all top 5 Cited in 56 Fields 1,432 Combinatorics (05-XX) 468 Number theory (11-XX) 257 Special functions (33-XX) 158 Probability theory and stochastic processes (60-XX) 144 Linear and multilinear algebra; matrix theory (15-XX) 129 Group theory and generalizations (20-XX) 104 Algebraic geometry (14-XX) 91 Computer science (68-XX) 86 Statistical mechanics, structure of matter (82-XX) 77 Associative rings and algebras (16-XX) 74 Order, lattices, ordered algebraic structures (06-XX) 64 Convex and discrete geometry (52-XX) 62 Commutative algebra (13-XX) 44 Quantum theory (81-XX) 43 Nonassociative rings and algebras (17-XX) 32 Functions of a complex variable (30-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 19 Dynamical systems and ergodic theory (37-XX) 19 Statistics (62-XX) 16 Real functions (26-XX) 16 Biology and other natural sciences (92-XX) 15 Difference and functional equations (39-XX) 15 Numerical analysis (65-XX) 14 Topological groups, Lie groups (22-XX) 14 Ordinary differential equations (34-XX) 14 Partial differential equations (35-XX) 14 Sequences, series, summability (40-XX) 14 Integral transforms, operational calculus (44-XX) 12 History and biography (01-XX) 12 Operations research, mathematical programming (90-XX) 11 Manifolds and cell complexes (57-XX) 10 Field theory and polynomials (12-XX) 10 Approximations and expansions (41-XX) 10 Operator theory (47-XX) 9 Several complex variables and analytic spaces (32-XX) 7 Algebraic topology (55-XX) 6 Geometry (51-XX) 6 Differential geometry (53-XX) 5 Mathematical logic and foundations (03-XX) 5 Category theory; homological algebra (18-XX) 5 Functional analysis (46-XX) 4 Potential theory (31-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Mathematics education (97-XX) 2 \(K\)-theory (19-XX) 2 Relativity and gravitational theory (83-XX) 2 Geophysics (86-XX) 1 General algebraic systems (08-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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