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Andrews, George Eyre

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Author ID: andrews.george-eyre Recent zbMATH articles by "Andrews, George Eyre"
Published as: Andrews, George E.; Andrews, G. E.; Andrews, George; Andrews, George Eyre
Homepage: http://www.personal.psu.edu/gea1/
External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND · MacTutor
Documents Indexed: 364 Publications since 1961, including 25 Books
Reviewing Activity: 12 Reviews
Biographic References: 10 Publications
all top 5

Co-Authors

211 single-authored
16 Paule, Peter
13 Berndt, Bruce Carl
10 Alladi, Krishnaswami
7 Askey, Richard Allen
7 Baxter, Rodney J.
7 Riese, Axel
7 Sellers, James Allen
7 Yee, Ae Ja
6 Bressoud, David M.
6 Knopfmacher, Arnold
6 Ono, Ken
5 Garvan, Frank G.
5 Jackson, David M.
5 Lewis, Richard P.
4 Agarwal, Ashok Kumar
4 Berkovich, Alexander
3 Chan, Song Heng
3 Goulden, Ian P.
3 Littlejohn, Lance L.
3 Merca, Mircea
3 Olsson, Jorn Borling
3 Roy, Ranjan
3 Warnaar, S. Ole
2 Bessenrodt, Christine
2 Bowman, Douglas C.
2 Burge, William H.
2 Dixit, Atul
2 Dyson, Freeman John
2 Forrester, Peter J.
2 Fraenkel, Aviezri Siegmund
2 Gasper, George Jun
2 Gawronski, Wolfgang
2 Gordon, Basil
2 Hickerson, Dean R.
2 Jacobsen, Lisa
2 Kim, Byungchan
2 Krattenthaler, Christian Friedrich
2 Lamphere, Robert L.
2 Liang, Jie
2 Rhoades, Robert C.
2 Savage, Carla D.
2 Sohn, Jaebum
2 Suslov, Sergei K.
2 Zaharescu, Alexandru
2 Zimmermann, Burkhard
1 Ahlgren, Scott D.
1 Almkvist, Gert
1 Ballantine, Cristina M.
1 Beck, George
1 Beck, Matthias
1 Bell, Jordan
1 Borwein, Jonathan Michael
1 Brietzke, Eduardo H. M.
1 Bringmann, Kathrin
1 Chern, Shane
1 Corteel, Sylvie
1 Crippa, Davide
1 Deutsch, Emeric
1 Egge, Eric S.
1 Ekhad, Shalosh B. (computer)
1 Eriksson, Henrik
1 Eriksson, Kimmo
1 Foata, Dominique C.
1 Freitas, Pedro
1 Gessel, Ira Martin
1 Guo, Li
1 Guralnick, Robert Michael
1 Hill, Stephen P.
1 Hirschhorn, Michael D.
1 Hopkins, Brian
1 Jelínek, Vít
1 Jiménez-Urroz, Jorge
1 Keigher, William F.
1 Kitaoka, Yoshiyuki
1 Knopfmacher, John
1 Krinik, Alan C.
1 Lawrence, James
1 Liu, Zhi-Guo
1 Lovejoy, Jeremy
1 Mahlburg, Karl
1 Malik, Amita
1 McIntosh, Richard J.
1 Onofri, Enrico
1 Orsina, Luigi
1 Osburn, Robert
1 Papi, Paolo
1 Parson, Alayne
1 Passary, Donny
1 Pérez, Rodrigo A.
1 Petrov, Fedor Vladimirovich
1 Prodinger, Helmut
1 Ramanathan, Kollagunta G.
1 Rankin, Robert Alexander
1 Robbins, Neville
1 Rødseth, Øystein J.
1 Romik, Dan
1 Rose, Simon C. F.
1 Santos, José Plínio O.
1 Schilling, Anne
1 Schneider, Carsten
...and 13 more Co-Authors
all top 5

Serials

17 The Ramanujan Journal
15 American Mathematical Monthly
15 Journal of Combinatorial Theory. Series A
15 Annals of Combinatorics
13 Proceedings of the American Mathematical Society
11 Advances in Mathematics
11 Transactions of the American Mathematical Society
10 Journal of Number Theory
9 Discrete Mathematics
8 Pacific Journal of Mathematics
6 Proceedings of the National Academy of Sciences of the United States of America
6 International Journal of Number Theory
5 Acta Arithmetica
5 Inventiones Mathematicae
5 Journal of the London Mathematical Society. Second Series
5 Journal für die Reine und Angewandte Mathematik
5 European Journal of Combinatorics
5 Advances in Applied Mathematics
5 Notices of the American Mathematical Society
4 Journal of Statistical Physics
4 Rocky Mountain Journal of Mathematics
4 American Journal of Mathematics
4 Utilitas Mathematica
4 Aequationes Mathematicae
4 The Electronic Journal of Combinatorics
4 Journal of Combinatorial Theory
4 Encyclopedia of Mathematics and Its Applications
3 Duke Mathematical Journal
3 The Fibonacci Quarterly
3 Glasgow Mathematical Journal
3 Indian Journal of Mathematics
3 Memoirs of the American Mathematical Society
3 The Quarterly Journal of Mathematics. Oxford Second Series
3 SIAM Journal on Mathematical Analysis
3 Séminaire Lotharingien de Combinatoire
2 Houston Journal of Mathematics
2 Archiv der Mathematik
2 Canadian Mathematical Bulletin
2 Illinois Journal of Mathematics
2 The Journal of the Indian Mathematical Society. New Series
2 Journal of Statistical Planning and Inference
2 Quaestiones Mathematicae
2 Studies in Applied Mathematics
2 Journal of Symbolic Computation
2 Journal of the American Mathematical Society
2 Journal of the Australian Mathematical Society. Series A
2 Bulletin of the American Mathematical Society. New Series
2 Integers
1 Bulletin of the Australian Mathematical Society
1 Communications in Mathematical Physics
1 Mathematics Magazine
1 The Mathematical Intelligencer
1 Ars Combinatoria
1 The Australian Mathematical Society Gazette
1 Bulletin of the London Mathematical Society
1 Ganita
1 Journal of Algebra
1 Journal of Approximation Theory
1 Journal of Computational and Applied Mathematics
1 The Mathematics Student
1 Michigan Mathematical Journal
1 Nagoya Mathematical Journal
1 Portugaliae Mathematica
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 Journal of National Academy of Mathematics, India
1 Algorithmica
1 SIAM Journal on Discrete Mathematics
1 Journal of the Ramanujan Mathematical Society
1 Mathematical Chronicle
1 SIAM Review
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Documenta Mathematica
1 Journal of Integer Sequences
1 Acta Mathematica Sinica. English Series
1 South East Asian Journal of Mathematics and Mathematical Sciences
1 Bulletin of the American Mathematical Society
1 Scripta Mathematica
1 Contemporary Mathematics
1 Mathematics and its Applications (Dordrecht)
1 Proceedings of the Steklov Institute of Mathematics
1 Regional Conference Series in Mathematics
1 Developments in Mathematics
1 Algebra & Number Theory
1 Springer Proceedings in Mathematics & Statistics
1 ICP Selected Papers
1 Mathematics
1 Research in Number Theory
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Journal of Ramanujan Society of Mathematics and Mathematical Sciences
1 Cambridge Mathematical Library

Publications by Year

Citations contained in zbMATH Open

312 Publications have been cited 6,762 times in 3,877 Documents Cited by Year
The theory of partitions. Zbl 0371.10001
Andrews, George E.
697
1976
Special functions. Zbl 0920.33001
Andrews, George E.; Askey, Richard; Roy, Ranjan
687
1999
The theory of partitions. Zbl 0996.11002
Andrews, George E.
251
1998
\(q\)-series: their development and application in analysis, number theory, combinatorics, physics, and computer algebra. Zbl 0594.33001
Andrews, George E.
173
1986
Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities. Zbl 0589.60093
Andrews, George E.; Baxter, R. J.; Forrester, P. J.
173
1984
Ramanujan’s lost notebook. I. Zbl 1075.11001
Andrews, George E.; Berndt, Bruce C.
169
2005
Dyson’s crank of a partition. Zbl 0646.10008
Andrews, George E.; Garvan, F. G.
136
1988
Ramanujan’s lost notebook. Part II. Zbl 1180.11001
Andrews, George E.; Berndt, Bruce C.
105
2009
Multiple series Rogers-Ramanujan type identities. Zbl 0547.10012
Andrews, George E.
88
1984
Integer partitions. Zbl 1073.11063
Andrews, George E.; Eriksson, Kimmo
86
2004
On the geometry of numbers in elementary number theory. Zbl 0155.09302
Andrews, G. E.
83
1967
Applications of basic hypergeometric functions. Zbl 0299.33004
Andrews, George E.
81
1974
Special functions. Paperback ed. Zbl 1075.33500
Andrews, George E.; Askey, Richard; Roy, Ranjan
78
2000
A trinomial analogue of Bailey’s lemma and \(N=2\) superconformal invariance. Zbl 0906.05004
Andrews, G. E.; Berkovich, A.
72
1998
An analytic generalization of the Rogers-Ramanujan identities for odd moduli. Zbl 0289.10010
Andrews, George E.
72
1974
The fifth and seventh order mock theta functions. Zbl 0593.10018
Andrews, George E.
64
1986
Ramanujan’s “Lost” Notebook. VII: The sixth order mock theta functions. Zbl 0739.11042
Andrews, George E.; Hickerson, Dean
64
1991
An introduction to Ramanujan’s ”lost” Notebook. Zbl 0401.01003
Andrews, George E.
63
1979
Partitions and indefinite quadratic forms. Zbl 0642.10012
Andrews, George E.; Dyson, Freeman J.; Hickerson, Dean
62
1988
The number of smallest parts in the partitions of \(n\). Zbl 1153.11053
Andrews, George E.
57
2008
Plane partitions. III: The weak Macdonald conjecture. Zbl 0421.10011
Andrews, George E.
56
1979
Generalized Frobenius partitions. Zbl 0544.10010
Andrews, George E.
55
1984
Ramanujan’s “lost” notebook. I: Partial Theta-functions. Zbl 0477.33001
Andrews, George E.
54
1981
The theory of partitions. Zbl 0655.10001
Andrews, George E.
52
1984
Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks. Zbl 1214.11116
Andrews, George E.
51
2007
Arithmetic properties of partitions with even parts distinct. Zbl 1218.05018
Andrews, George E.; Hirschhorn, Michael D.; Sellers, James A.
45
2010
Two theorems of Gauss and allied identities proved arithmetically. Zbl 0219.10021
Andrews, George E.
41
1972
Identities in combinatorics. III: Further aspects of ordered set sorting. Zbl 0581.05009
Andrews, G. E.; Bressoud, D. M.
41
1984
MacMahon’s partition analysis. XI: Broken diamonds and modular forms. Zbl 1110.05010
Andrews, George E.; Paule, Peter
40
2007
Bailey’s transform, lemma, chains and tree. Zbl 1005.33005
Andrews, George E.
39
2001
On \(q\)-difference equations for certain well-poised basic hypergeometric series. Zbl 0165.08202
Andrews, G. E.
39
1968
Rogers-Ramanujan identities for partitions with ”n copies of n”. Zbl 0618.05003
Agarwal, A. K.; Andrews, George E.
39
1987
The Bailey lattice. Zbl 0668.10020
Agarwal, A. K.; Andrews, G. E.; Bressoud, D. M.
39
1987
A lower bound for the volume of strictly convex bodies with many boundary lattice points. Zbl 0118.28301
Andrews, G. E.
38
1963
An analytic proof of the Rogers-Ramanujan-Gordon identities. Zbl 0147.26502
Andrews, G. E.
33
1966
On the foundations of combinatorial theory. V: Eulerian differential operators. Zbl 0237.05002
Andrews, George E.
33
1971
Plane partitions. V: The TSSCPP conjecture. Zbl 0797.05003
Andrews, George E.
32
1994
\(q\)-series identities and values of certain \(L\)-functions. Zbl 1005.11048
Andrews, George E.; Jiménez-Urroz, Jorge; Ono, Ken
32
2001
Another q-extension of the beta function. Zbl 0471.33001
Andrews, George E.; Askey, Richard
31
1981
Ramanujan’s “lost” notebook. III: The Rogers-Ramanujan continued fraction. Zbl 0477.33009
Andrews, George E.
31
1981
The truncated pentagonal number theorem. Zbl 1246.05014
Andrews, George E.; Merca, Mircea
31
2012
MacMahon’s partition analysis: The Omega package. Zbl 0979.05008
Andrews, George E.; Paule, Peter; Riese, Axel
30
2001
A generalization of the Göllnitz-Gordon partition theorems. Zbl 0153.32801
Andrews, George E.
30
1967
The continued fractions found in the unorganized portions of Ramanujan’s notebooks. Zbl 0758.40001
Andrews, George E.; Berndt, Bruce C.; Jacobsen, Lisa; Lamphere, Robert L.
30
1992
Ramanujan’s ”lost” notebook. V: Euler’s partition identity. Zbl 0601.10007
Andrews, George E.
30
1986
Singular overpartitions. Zbl 1325.11107
Andrews, George E.
30
2015
The odd moments of ranks and cranks. Zbl 1264.11088
Andrews, George E.; Chan, Song Heng; Kim, Byungchan
30
2013
\(q\)-analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher. Zbl 0937.05014
Andrews, George E.
29
1999
The WP-Bailey tree and its implications. Zbl 1049.33010
Andrews, George; Berkovich, Alexander
28
2002
On the q-analog of Kummer’s theorem and applications. Zbl 0266.33003
Andrews, George E.
28
1973
Partitions and Durfee dissection. Zbl 0409.10006
Andrews, George E.
28
1979
Lattice gas generalization of the hard hexagon model. III: \(q\)-trinomial coefficients. Zbl 0638.10009
Andrews, G. E.; Baxter, R. J.
28
1987
Ramanujan’s “Lost” Notebook. VI: The mock theta conjectures. Zbl 0677.10010
Andrews, George E.; Garvan, F. G.
28
1989
Partitions associated with the Ramanujan/Watson mock theta functions \(\omega(q)\), \(\nu(q)\) and \(\phi(q)\). Zbl 1386.11108
Andrews, George E.; Dixit, Atul; Yee, Ae Ja
28
2015
\(q\)-orthogonal polynomials, Rogers-Ramanujan identities, and mock theta functions. Zbl 1309.11015
Andrews, George E.
27
2012
Ramanujan’s lost notebook. Part III. Zbl 1248.11003
Andrews, George E.; Berndt, Bruce C.
27
2012
Ramanujan’s lost notebook. Part IV. Zbl 1288.11002
Andrews, George E.; Berndt, Bruce C.
27
2013
An \(A_2\) Bailey lemma and Rogers-Ramanujan-type identities. Zbl 0917.05010
Andrews, George E.; Schilling, Anne; Warnaar, S. Ole
26
1999
A general theorem on partitions with difference conditions. Zbl 0186.30203
Andrews, G. E.
26
1969
On q-analogues of the Watson and Whipple summations. Zbl 0339.33007
Andrews, George E.
26
1976
A combinatorial interpretation of the Legendre-Stirling numbers. Zbl 1167.05002
Andrews, George E.; Littlejohn, Lance L.
26
2009
The Legendre-Stirling numbers. Zbl 1237.05010
Andrews, G. E.; Gawronski, W.; Littlejohn, L. L.
26
2011
Schur’s theorem, Capparelli’s conjecture and \(q\)-trinomial coefficients. Zbl 0811.05001
Andrews, George E.
25
1994
Baxter algebras and Hopf algebras. Zbl 1056.16025
Andrews, George E.; Guo, Li; Keigher, William; Ono, Ken
24
2003
Refinements and generalizations of Capparelli’s conjecture on partitions. Zbl 0830.05005
Alladi, Krishnaswami; Andrews, George; Gordon, Basil
24
1995
On basic hypergeometric series, mock theta functions, and partitions. I. Zbl 0136.05603
Andrews, George E.
23
1966
The ranks and cranks of partitions moduli 2, 3, and 4. Zbl 0967.11043
Andrews, George E.; Lewis, Richard
23
2000
Identities in combinatorics. IV: Differentiation and harmonic numbers. Zbl 0595.33005
Andrews, George E.; Uchimura, K.
23
1985
Partitions: yesterday and today. Zbl 0464.10009
Andrews, George E.
22
1979
Sieves in the theory of partitions. Zbl 0256.10011
Andrews, George E.
22
1972
Problems and prospects for basic hypergeometric functions. Zbl 0342.33001
Andrews, George E.
22
1975
The Jacobi-Stirling numbers. Zbl 1261.11022
Andrews, George E.; Egge, Eric S.; Gawronski, Wolfgang; Littlejohn, Lance L.
22
2013
Summations and transformations for basic Appell series. Zbl 0235.33003
Andrews, George E.
21
1972
On Ramanujan’s summation of \(_ 1\psi_ 1 (a;b;z)\). Zbl 0176.01901
Andrews, G. E.
20
1969
The product of partial theta functions. Zbl 1120.33014
Andrews, George E.; Warnaar, S. Ole
20
2007
Partitions with prescribed hook differences. Zbl 0643.05006
Andrews, George E.; Baxter, R. J.; Bressoud, D. M.; Burge, William H.; Forrester, P. J.; Viennot, G.
20
1987
Some new partition theorems. Zbl 0153.02102
Andrews, George E.
19
1967
Identities in combinatorics. II: A q-analog of the Lagrange inversion theorem. Zbl 0315.05006
Andrews, George E.
19
1975
Euler’s “De partitio numerorum”. Zbl 1172.11031
Andrews, George E.
19
2007
Parity in partition identities. Zbl 1226.11107
Andrews, George E.
19
2010
Hecke modular forms and the Kac-Peterson identities. Zbl 0545.10016
Andrews, George E.
19
1984
Generalizations and refinements of a partition theorem of Göllnitz. Zbl 0810.11061
Alladi, Krishnaswami; Andrews, George E.; Gordon, Basil
18
1995
Enumeration of partitions: the role of Eulerian series and \(q\)-orthogonal polynomials. Zbl 0381.10008
Andrews, George E.; Askey, Richard
18
1977
The hard-hexagon model and Rogers-Ramanujan type identities. Zbl 0526.33004
Andrews, George E.
18
1981
A simple proof of Ramanujan’s summation of the \(_1\Psi_1\). Zbl 0401.33002
Andrews, George E.; Askey, Richard
18
1978
A survey of multipartitions: Congruences and identities. Zbl 1183.11063
Andrews, George E.
18
2008
Classical orthogonal polynomials. Zbl 0596.33016
Andrews, George E.; Askey, Richard
18
1985
Partitions with short sequences and mock theta functions (Inaugural article). Zbl 1207.11106
Andrews, George E.
17
2005
Ramanujan’s “lost” notebook. IV: Stacks and alternating parity in partitions. Zbl 0539.33002
Andrews, George E.
17
1984
Combinatorial interpretations of congruences for the spt-function. Zbl 1256.05012
Andrews, George E.; Garvan, Frank G.; Liang, Jie
17
2012
A simple proof of Jacobi’s triple product identity. Zbl 0132.30901
Andrews, G. E.
16
1965
On basic hypergeometric series, mock theta functions, and partitions. II. Zbl 0144.25204
Andrews, George E.
16
1966
Enumerative proofs of certain q-identities. Zbl 0146.01205
Andrews, G. E.
16
1967
q-identities of Auluck, Carlitz, and Rogers. Zbl 0152.05202
Andrews, G. E.
16
1966
A polynomial identity which implies the Rogers-Ramanujan identities. Zbl 0204.32403
Andrews, G. E.
16
1970
Partition identities. Zbl 0235.10007
Andrews, George E.
16
1972
On the general Rogers-Ramanujan theorem. Zbl 0296.10010
Andrews, George E.
16
1974
Plane partitions. II: The equivalence of the Bender-Knuth and MacMahon conjectures. Zbl 0376.10014
Andrews, George E.
16
1977
Divisibility properties of the q-tangent numbers. Zbl 0401.10020
Andrews, George E.; Gessel, Ira
16
1978
Truncated theta series and a problem of Guo and Zeng. Zbl 1454.05015
Andrews, George E.; Merca, Mircea
16
2018
The minimal excludant in integer partitions. Zbl 1441.11265
Andrews, George E.; Newman, David
4
2020
Four identities for third order mock theta functions. Zbl 1455.11136
Andrews, George E.; Berndt, Bruce C.; Chan, Song Heng; Kim, Sun; Malik, Amita
3
2020
Some identities associated with mock theta functions \(\omega (q)\) and \(\nu (q)\). Zbl 1419.05022
Andrews, George E.; Yee, Ae Ja
4
2019
A refinement of the Alladi-Schur theorem. Zbl 1422.05015
Andrews, George E.
2
2019
Partitions and the minimal excludant. Zbl 1458.11011
Andrews, George E.; Newman, David
2
2019
Almost partition identities. Zbl 1416.05026
Andrews, George E.; Ballantine, Cristina
1
2019
Partitions with parts separated by parity. Zbl 1430.11142
Andrews, George E.
1
2019
Truncated theta series and a problem of Guo and Zeng. Zbl 1454.05015
Andrews, George E.; Merca, Mircea
16
2018
Integer partitions with even parts below odd parts and the mock theta functions. Zbl 1455.11139
Andrews, George E.
6
2018
Ramanujan’s lost notebook. Part V. Zbl 1416.11001
Andrews, George E.; Berndt, Bruce C.
5
2018
Congruences related to the Ramanujan/Watson mock theta functions \(\omega (q)\) and \(\nu (q)\). Zbl 1421.11083
Andrews, George E.; Passary, Donny; Sellers, James A.; Yee, Ae Ja
11
2017
Overpartitions related to the mock theta function \(\omega (q)\). Zbl 1422.11210
Andrews, George E.; Dixit, Atul; Schultz, Daniel; Yee, Ae Ja
8
2017
Arithmetic properties of \(m\)-ary partitions without gaps. Zbl 1376.05010
Andrews, George E.; Brietzke, Eduardo; Rødseth, Øystein J.; Sellers, James A.
4
2017
Binary partitions and binary partition polytopes. Zbl 1390.05017
Andrews, George E.; Lawrence, Jim
3
2017
The Alladi-Schur polynomials and their factorization. Zbl 1416.11152
Andrews, George E.
2
2017
The Bhargava-Adiga summation and partitions. Zbl 1440.33016
Andrews, George E.
1
2017
The first positive rank and crank moments for overpartitions. Zbl 1405.11136
Andrews, George; Chan, Song Heng; Kim, Byungchan; Osburn, Robert
12
2016
Congruences for the Fishburn numbers. Zbl 1328.05015
Andrews, George E.; Sellers, James A.
10
2016
\(m\)-ary partitions with no gaps: a characterization modulo \(m\). Zbl 1322.05015
Andrews, George E.; Fraenkel, Aviezri S.; Sellers, James A.
6
2016
A note on a method of Erdős and the Stanley-Elder theorems. Zbl 1415.11132
Andrews, George E.; Deutsch, Emeric
2
2016
Legendre theorems for subclasses of overpartitions. Zbl 1343.05027
Andrews, George E.; Yee, Ae Ja
1
2016
Singular overpartitions. Zbl 1325.11107
Andrews, George E.
30
2015
Partitions associated with the Ramanujan/Watson mock theta functions \(\omega(q)\), \(\nu(q)\) and \(\phi(q)\). Zbl 1386.11108
Andrews, George E.; Dixit, Atul; Yee, Ae Ja
28
2015
Double series representations for Schur’s partition function and related identities. Zbl 1307.05224
Andrews, George; Bringmann, Kathrin; Mahlburg, Karl
8
2015
Characterizing the number of \(m\)-ary partitions modulo \(m\). Zbl 1342.05013
Andrews, George E.; Fraenkel, Aviezri S.; Sellers, James A.
7
2015
Partitions with fixed differences between largest and smallest parts. Zbl 1328.11106
Andrews, George E.; Beck, Matthias; Robbins, Neville
7
2015
Basis partition polynomials, overpartitions and the Rogers-Ramanujan identities. Zbl 1335.11086
Andrews, George E.
3
2015
The dual of Göllnitz’s (big) partition theorem. Zbl 1308.11089
Alladi, Krishnaswami; Andrews, George E.
2
2015
On \(q\)-series identities related to interval orders. Zbl 1284.05039
Andrews, George E.; Jelínek, Vít
7
2014
Bailey pairs with free parameters, mock theta functions and tubular partitions. Zbl 1307.05021
Andrews, George E.
3
2014
Knots and \(q\)-series. Zbl 1308.33013
Andrews, George E.
2
2014
The odd moments of ranks and cranks. Zbl 1264.11088
Andrews, George E.; Chan, Song Heng; Kim, Byungchan
30
2013
Ramanujan’s lost notebook. Part IV. Zbl 1288.11002
Andrews, George E.; Berndt, Bruce C.
27
2013
The Jacobi-Stirling numbers. Zbl 1261.11022
Andrews, George E.; Egge, Eric S.; Gawronski, Wolfgang; Littlejohn, Lance L.
22
2013
Concave and convex compositions. Zbl 1325.05025
Andrews, George E.
16
2013
Modularity of the concave composition generating function. Zbl 1282.05016
Andrews, George E.; Rhoades, Robert C.; Zwegers, Sander P.
15
2013
Self-conjugate vector partitions and the parity of the spt-function. Zbl 1268.05019
Andrews, George E.; Garvan, Frank G.; Liang, Jie
12
2013
On the distribution of the spt-crank. Zbl 1296.11130
Andrews, George E.; Dyson, Freeman J.; Rhoades, Robert C.
9
2013
MacMahon’s sum-of-divisors functions, Chebyshev polynomials, and quasi-modular forms. Zbl 1337.11002
Andrews, George E.; Rose, Simon C. F.
9
2013
Differences of partition functions: the anti-telescoping method. Zbl 1318.11130
Andrews, George E.
5
2013
Partitions with early conditions. Zbl 1271.05014
Andrews, George E.
4
2013
The selected works of George E. Andrews (with commentary). Edited by Andrew V. Sills. Zbl 1323.01002
Andrews, George E.
2
2013
Partitions. Zbl 1325.01012
Andrews, George E.
1
2013
Hypergeometric identities associated with statistics on words. Zbl 1275.33006
Andrews, George E.; Savage, Carla D.; Wilf, Herbert S.
1
2013
The truncated pentagonal number theorem. Zbl 1246.05014
Andrews, George E.; Merca, Mircea
31
2012
\(q\)-orthogonal polynomials, Rogers-Ramanujan identities, and mock theta functions. Zbl 1309.11015
Andrews, George E.
27
2012
Ramanujan’s lost notebook. Part III. Zbl 1248.11003
Andrews, George E.; Berndt, Bruce C.
27
2012
Combinatorial interpretations of congruences for the spt-function. Zbl 1256.05012
Andrews, George E.; Garvan, Frank G.; Liang, Jie
17
2012
Drowning in the data deluge. Zbl 1284.01080
Andrews, George E.
1
2012
MacMahon’s dream. Zbl 1242.05016
Andrews, George E.; Paule, Peter
1
2012
Euler’s pentagonal number theorem and the Rogers-Fine identity. Zbl 1256.05018
Andrews, George E.; Bell, Jordan
1
2012
The Legendre-Stirling numbers. Zbl 1237.05010
Andrews, G. E.; Gawronski, W.; Littlejohn, L. L.
26
2011
Concave compositions. Zbl 1229.05029
Andrews, George E.
14
2011
On Shapiro’s Catalan convolution. Zbl 1227.05029
Andrews, George E.
4
2011
Arithmetic properties of partitions with even parts distinct. Zbl 1218.05018
Andrews, George E.; Hirschhorn, Michael D.; Sellers, James A.
45
2010
Parity in partition identities. Zbl 1226.11107
Andrews, George E.
19
2010
\(q\)-Catalan identities. Zbl 1322.11018
Andrews, George E.
6
2010
Ramanujan’s lost notebook. Part II. Zbl 1180.11001
Andrews, George E.; Berndt, Bruce C.
105
2009
A combinatorial interpretation of the Legendre-Stirling numbers. Zbl 1167.05002
Andrews, George E.; Littlejohn, Lance L.
26
2009
Partitions with initial repetitions. Zbl 1189.05018
Andrews, George E.
9
2009
Partitions with distinct evens. Zbl 1182.05008
Andrews, George E.
7
2009
On \(q\)-series identities arising from lecture hall partitions. Zbl 1173.33012
Andrews, George E.; Corteel, Sylvie; Savage, Carla D.
5
2009
The finite Heine transformation. Zbl 1177.33032
Andrews, George E.
1
2009
The number of smallest parts in the partitions of \(n\). Zbl 1153.11053
Andrews, George E.
57
2008
A survey of multipartitions: Congruences and identities. Zbl 1183.11063
Andrews, George E.
18
2008
Your hit parade: the top ten most fascinating formulas in Ramanujan’s lost notebook. Zbl 1153.33300
Andrews, George E.; Berndt, Bruce C.
4
2008
Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks. Zbl 1214.11116
Andrews, George E.
51
2007
MacMahon’s partition analysis. XI: Broken diamonds and modular forms. Zbl 1110.05010
Andrews, George E.; Paule, Peter
40
2007
The product of partial theta functions. Zbl 1120.33014
Andrews, George E.; Warnaar, S. Ole
20
2007
Euler’s “De partitio numerorum”. Zbl 1172.11031
Andrews, George E.
19
2007
The Bailey transform and false theta functions. Zbl 1116.33017
Andrews, George E.; Warnaar, S. Ole
14
2007
Integrals, partitions and MacMahon’s theorem. Zbl 1115.05005
Andrews, George; Eriksson, Henrik; Petrov, Fedor; Romik, Dan
12
2007
MacMahon’s partition analysis. XII: Plane partitions. Zbl 1137.05008
Andrews, George E.; Paule, Peter
6
2007
Carlitz and the general \(_{3}\varphi_{2}\). Zbl 1114.33027
Andrews, George E.
4
2007
On Sloane’s generalization of non-squashing stacks of boxes. Zbl 1116.05005
Andrews, George E.; Sellers, James A.
3
2007
The theory of compositions. IV: Multicompositions. Zbl 1213.11180
Andrews, George E.
2
2007
A fine dream. Zbl 1197.11138
Andrews, George E.
1
2007
On the number of distinct multinomial coefficients. Zbl 1099.11005
Andrews, George E.; Knopfmacher, Arnold; Zimmermann, Burkhard
1
2006
Ramanujan’s lost notebook. I. Zbl 1075.11001
Andrews, George E.; Berndt, Bruce C.
169
2005
Partitions with short sequences and mock theta functions (Inaugural article). Zbl 1207.11106
Andrews, George E.
17
2005
Plane partitions. VI: Stembridge’s TSPP theorem. Zbl 1066.05019
Andrews, George E.; Paule, Peter; Schneider, Carsten
12
2005
Ramanujan’s “lost” notebook. IX: The partial theta function as an entire function. Zbl 1067.11063
Andrews, George E.
11
2005
Ramanujan’s “Lost” notebook. VIII: The entire Rogers-Ramanujan function. Zbl 1067.11062
Andrews, George E.
10
2005
Extension of Abel’s Lemma with \(q\)-series implications. Zbl 1081.33029
Andrews, George E.; Freitas, Pedro
6
2005
Continued fractions with three limit points. Zbl 1131.11311
Andrews, George E.; Berndt, Bruce C.; Sohn, Jaebum; Yee, Ae Ja; Zaharescu, Alexandru
5
2005
\(a\)-Gaussian polynomials and finite Rogers-Ramanujan identities. Zbl 1219.33015
Andrews, George E.
2
2005
A new partition identity coming from complex dynamics. Zbl 1094.37024
Andrews, George E.; Pérez, Rodrigo A.
1
2005
Ramanujan and partial fractions. Zbl 1126.11005
Andrews, George E.
1
2005
Integer partitions. Zbl 1073.11063
Andrews, George E.; Eriksson, Kimmo
86
2004
Fibonacci numbers and the Rogers-Ramanujan identities. Zbl 1055.11011
Andrews, George E.
9
2004
The Friedman-Joichi-Stanton monotonicity conjecture at primes. Zbl 1079.11055
Andrews, George E.
9
2004
On a partition function of Richard Stanly. Zbl 1067.05005
Andrews, George E.
8
2004
MacMahon’s partition analysis. X: Plane partitions with diagonals. Zbl 1080.11073
Andrews, G. E.; Paule, Peter; Riese, Axel
3
2004
Baxter algebras and Hopf algebras. Zbl 1056.16025
Andrews, George E.; Guo, Li; Keigher, William; Ono, Ken
24
2003
Partitions: At the interface of \(q\)-series and modular forms. Zbl 1046.11073
Andrews, George E.
12
2003
A new four parameter \(q\)-series identity and its partition implications. Zbl 1097.05006
Alladi, Krishnaswami; Andrews, George E.; Berkovich, Alexander
11
2003
On Ramanujan’s continued fraction for \((q^2;q^3)_{\infty}/(q;q^3)_{\infty}\). Zbl 1063.33026
Andrews, George E.; Berndt, Bruce C.; Sohn, Jaebum; Yee, Ae Ja; Zaharescu, Alexandru
7
2003
Determinants of random matrices and Jack polynomials of rectangular shape. Zbl 1141.15313
Andrews, G. E.; Goulden, I. P.; Jackson, D. M.
5
2003
The WP-Bailey tree and its implications. Zbl 1049.33010
Andrews, George; Berkovich, Alexander
28
2002
Partitions with designated summands. Zbl 1004.05006
Andrews, G. E.; Lewis, R. P.; Lovejoy, J.
14
2002
...and 212 more Documents
all top 5

Cited by 3,149 Authors

117 Andrews, George Eyre
53 Merca, Mircea
50 Bringmann, Kathrin
46 Chu, Wenchang
46 Guo, Victor J. W.
43 Lovejoy, Jeremy
42 Kim, Byungchan
40 Yee, Ae Ja
35 Ismail, Mourad El-Houssieny
35 Zeng, Jiang
34 Ono, Ken
32 Berndt, Bruce Carl
31 Chen, William Yong-Chuan
31 Warnaar, S. Ole
30 Sellers, James Allen
26 Berkovich, Alexander
26 Chern, Shane
26 Krattenthaler, Christian Friedrich
25 Xia, Ernest X. W.
24 Sills, Andrew V.
24 Zeilberger, Doron
23 Garvan, Frank G.
23 Milne, Stephen C.
21 Alladi, Krishnaswami
21 Chan, Song Heng
21 Prodinger, Helmut
20 Baruah, Nayandeep Deka
20 Lin, Bernard L. S.
20 Mc Laughlin, James G.
20 Stanton, Dennis W.
19 Mao, Renrong
18 Hirschhorn, Michael D.
18 Jennings-Shaffer, Chris
17 Cao, Jian
17 Gu, Nancy Shan Shan
17 Schlosser, Michael J.
17 Yao, Olivia Xiang Mei
16 Folsom, Amanda
16 Knopfmacher, Arnold
16 Munagi, Augustine O.
16 Swisher, Holly
16 Tang, Dazhao
16 Wang, Liuquan
16 Zhang, Zhizheng
15 Ciucu, Mihai
15 Liu, Zhi-Guo
15 Mahlburg, Karl
15 Paule, Peter
15 Srivastava, Hari Mohan
14 Cooper, Shaun
14 Mahadeva Naika, Megadahalli Sidda
14 Mathieu, Pierre
14 Osburn, Robert
14 Rhoades, Robert C.
14 Spiridonov, Vyacheslav Pavlovich
13 Corteel, Sylvie
13 Dousse, Jehanne
13 Foata, Dominique C.
13 Fulman, Jason E.
13 Han, Guo-Niu
13 Jimbo, Michio
13 Mortenson, Eric T.
12 Ballantine, Cristina M.
12 Bessenrodt, Christine
12 Bowman, Douglas C.
12 Chan, Heng Huat
12 Guo, Li
12 Hikami, Kazuhiro
12 Keith, William J.
12 Mansour, Toufik
12 Milas, Antun
12 Miwa, Tetsuji
12 Pak, Igor
12 Pearce, Paul A.
12 Savage, Carla D.
12 Stanley, Richard Peter
12 Uncu, Ali Kemal
12 Wei, Chuanan
12 Zhang, Ruiming
11 Bressoud, David M.
11 Cui, Su-Ping
11 Fu, Shishuo
11 Ji, Kathy Qing
11 Littlejohn, Lance L.
11 Ma, Xinrong
11 Ostrovska, Sofiya
11 Pan, Hao
11 Patkowski, Alexander Eric
11 Rawlings, Don
11 Wang, Mingjin
10 Chen, Shichao
10 Dixit, Atul
10 Feĭgin, Boris L’vovich
10 Fischer, Ilse
10 Goulden, Ian P.
10 Hou, Qinghu
10 Koumandos, Stamatis
10 Kuniba, Atsuo
10 Kurşungöz, Kağan
10 Lepowsky, James
...and 3,049 more Authors
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Cited in 448 Serials

364 The Ramanujan Journal
188 Journal of Combinatorial Theory. Series A
168 Discrete Mathematics
144 Journal of Number Theory
137 International Journal of Number Theory
135 Proceedings of the American Mathematical Society
115 Journal of Mathematical Analysis and Applications
108 Advances in Mathematics
96 Advances in Applied Mathematics
88 Transactions of the American Mathematical Society
86 Annals of Combinatorics
67 European Journal of Combinatorics
57 Communications in Mathematical Physics
45 Nuclear Physics. B
43 Journal of Statistical Physics
36 Bulletin of the Australian Mathematical Society
36 Journal of Mathematical Physics
35 Mathematics of Computation
33 Journal of Computational and Applied Mathematics
33 Journal of High Energy Physics
32 Rocky Mountain Journal of Mathematics
29 Journal of Difference Equations and Applications
27 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
26 Journal of Algebra
25 Applied Mathematics and Computation
24 Journal of Algebraic Combinatorics
24 Research in Number Theory
22 Letters in Mathematical Physics
22 Integers
21 Constructive Approximation
21 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
21 Journal of Mathematical Sciences (New York)
20 Mathematical Notes
20 Duke Mathematical Journal
20 Integral Transforms and Special Functions
20 Advances in Difference Equations
19 Journal of Approximation Theory
18 Monatshefte für Mathematik
17 Results in Mathematics
17 Theoretical Computer Science
17 The Electronic Journal of Combinatorics
17 Journal of Integer Sequences
16 Discrete Applied Mathematics
16 Journal of Symbolic Computation
16 Linear Algebra and its Applications
16 South East Asian Journal of Mathematics and Mathematical Sciences
15 Communications in Algebra
15 Acta Arithmetica
15 Journal of Statistical Planning and Inference
14 Archiv der Mathematik
14 Bulletin of the American Mathematical Society. New Series
14 Research in the Mathematical Sciences
13 Annales de l’Institut Fourier
13 Inventiones Mathematicae
13 Aequationes Mathematicae
13 Proceedings of the National Academy of Sciences of the United States of America
13 Computational Methods and Function Theory
12 Functional Analysis and its Applications
12 International Journal of Mathematics and Mathematical Sciences
12 Journal of Pure and Applied Algebra
12 Numerical Algorithms
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Mediterranean Journal of Mathematics
11 Theoretical and Mathematical Physics
10 Indian Journal of Pure & Applied Mathematics
10 Mathematical Proceedings of the Cambridge Philosophical Society
10 Séminaire Lotharingien de Combinatoire
10 Journal of Inequalities and Applications
9 American Mathematical Monthly
9 Quaestiones Mathematicae
9 Studies in Applied Mathematics
9 Journal of the American Mathematical Society
9 Journal de Théorie des Nombres de Bordeaux
9 Turkish Journal of Mathematics
9 The Journal of Fourier Analysis and Applications
9 Acta Mathematica Sinica. English Series
9 Central European Journal of Mathematics
9 Journal of Statistical Mechanics: Theory and Experiment
9 Complex Analysis and Operator Theory
8 Applied Mathematics Letters
8 Experimental Mathematics
8 Journal of Algebra and its Applications
8 Journal of Physics A: Mathematical and Theoretical
7 International Journal of Modern Physics A
7 Ukrainian Mathematical Journal
7 The Annals of Probability
7 Compositio Mathematica
7 Mathematische Zeitschrift
7 Acta Mathematica Hungarica
7 Discrete & Computational Geometry
7 International Journal of Mathematics
7 Journal of Nonlinear Mathematical Physics
7 Afrika Matematika
6 Manuscripta Mathematica
6 Mathematische Annalen
6 Probability Theory and Related Fields
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 Russian Journal of Mathematical Physics
6 Bulletin des Sciences Mathématiques
6 Communications in Contemporary Mathematics
...and 348 more Serials
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Cited in 62 Fields

1,787 Number theory (11-XX)
1,737 Combinatorics (05-XX)
1,119 Special functions (33-XX)
235 Quantum theory (81-XX)
224 Nonassociative rings and algebras (17-XX)
214 Statistical mechanics, structure of matter (82-XX)
181 Probability theory and stochastic processes (60-XX)
120 Functions of a complex variable (30-XX)
119 Group theory and generalizations (20-XX)
117 Approximations and expansions (41-XX)
115 Harmonic analysis on Euclidean spaces (42-XX)
109 Computer science (68-XX)
108 Numerical analysis (65-XX)
102 Linear and multilinear algebra; matrix theory (15-XX)
90 Real functions (26-XX)
81 Difference and functional equations (39-XX)
76 Associative rings and algebras (16-XX)
67 Algebraic geometry (14-XX)
65 Partial differential equations (35-XX)
63 Ordinary differential equations (34-XX)
57 Convex and discrete geometry (52-XX)
47 Operator theory (47-XX)
46 Order, lattices, ordered algebraic structures (06-XX)
42 Sequences, series, summability (40-XX)
42 Manifolds and cell complexes (57-XX)
41 Topological groups, Lie groups (22-XX)
41 Statistics (62-XX)
38 Functional analysis (46-XX)
36 Commutative algebra (13-XX)
35 Dynamical systems and ergodic theory (37-XX)
35 Information and communication theory, circuits (94-XX)
34 Integral transforms, operational calculus (44-XX)
28 Abstract harmonic analysis (43-XX)
27 Operations research, mathematical programming (90-XX)
24 Global analysis, analysis on manifolds (58-XX)
20 History and biography (01-XX)
20 Several complex variables and analytic spaces (32-XX)
18 Field theory and polynomials (12-XX)
18 Relativity and gravitational theory (83-XX)
17 Differential geometry (53-XX)
16 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
16 Biology and other natural sciences (92-XX)
13 Potential theory (31-XX)
11 Geometry (51-XX)
10 Mathematical logic and foundations (03-XX)
10 Fluid mechanics (76-XX)
7 General and overarching topics; collections (00-XX)
7 Category theory; homological algebra (18-XX)
6 Measure and integration (28-XX)
6 Integral equations (45-XX)
6 Mechanics of deformable solids (74-XX)
5 Systems theory; control (93-XX)
4 Mathematics education (97-XX)
3 General algebraic systems (08-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Algebraic topology (55-XX)
3 Mechanics of particles and systems (70-XX)
3 Optics, electromagnetic theory (78-XX)
2 \(K\)-theory (19-XX)
2 General topology (54-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)

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