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Author ID: gessel.ira-m Recent zbMATH articles by "Gessel, Ira Martin"
Published as: Gessel, Ira M.; Gessel, Ira; Gessel, I. M.; Gessel, I.
Homepage: http://people.brandeis.edu/~gessel/
External Links: MGP · ORCID · Wikidata · ResearchGate · MathOverflow · dblp · IdRef · theses.fr

Publications by Year

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 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

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