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Andrews, George Eyre

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: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Documents Indexed: 377 Publications since 1961, including 19 Books
8 Contributions as Editor · 5 Further Contributions
Reviewing Activity: 12 Reviews
Biographic References: 11 Publications
Co-Authors: 140 Co-Authors with 167 Joint Publications
3,478 Co-Co-Authors
all top 5

Co-Authors

213 single-authored
17 Paule, Peter
13 Berndt, Bruce Carl
11 Alladi, Krishnaswami
8 Sellers, James Allen
7 Askey, Richard Allen
7 Baxter, Rodney J.
7 Riese, Axel
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
4 Chern, Shane
3 Ballantine, Cristina M.
3 Chan, Song Heng
3 Goulden, Ian P.
3 Littlejohn, Lance L.
3 Merca, Mircea
3 Olsson, Jorn Borling
3 Roy, Ranjan
3 Simay, Greg
3 Warnaar, S. Ole
2 Amdeberhan, Tewodros
2 Bessenrodt, Christine
2 Bowman, Douglas C.
2 Burge, William H.
2 Dastidar, Manosij Ghosh
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 Li, Zhitai
2 Liang, Jie
2 Ramanujan, Srinivasa
2 Rhoades, Robert C.
2 Savage, Carla Diane
2 Sills, Andrew V.
2 Sohn, Jaebum
2 Suslov, Sergei K.
2 Zaharescu, Alexandru
2 Zimmermann, Burkhard
1 Adler, Stephen L.
1 Ahlgren, Scott D.
1 Almkvist, Gert
1 Babu, Gutti Jogesh
1 Bai, Zhi-Dong
1 Beck, George
1 Beck, Matthias
1 Bell, Jordan
1 Bhattacharjee, Sreerupa
1 Bleher, Pavel M.
1 Borwein, Jonathan Michael
1 Brietzke, Eduardo H. M.
1 Bringmann, Kathrin
1 Chayes, Jennifer Tour
1 Chernoff, Herman
1 Corteel, Sylvie
1 Crippa, Davide
1 Deutsch, Emeric
1 Dragović, Vladimir
1 Egge, Eric S.
1 Ekhad, Shalosh B. (computer)
1 Eriksson, Henrik
1 Eriksson, Kimmo
1 Fine, Nathan Jacob
1 Foata, Dominique C.
1 Freitas, Pedro
1 Frieden, Roy B.
1 Fröhlich, Jürg Martin
1 Fujikoshi, Yasunori
1 Gessel, Ira Martin
1 Guo, Li
1 Guralnick, Robert Michael
1 Heluani, Reimundo
1 Hill, Stephen P.
1 Hirschhorn, Michael D.
1 Hopkins, Brian
1 Jelínek, Vít
1 Jha, Sumit Kumar
1 Jiménez-Urroz, Jorge
1 Just, Matthew
1 Keigher, William F.
1 Kitaoka, Yoshiyuki
1 Knopfmacher, John
1 Krinik, Alan C.
1 Lawrence, James
1 Lebowitz, Joel Louis
1 Liu, Zhi-Guo
...and 54 more Co-Authors
all top 5

Serials

19 The Ramanujan Journal
18 Journal of Combinatorial Theory. Series A
15 American Mathematical Monthly
15 Annals of Combinatorics
13 Proceedings of the American Mathematical Society
12 Journal of Number Theory
11 Advances in Mathematics
11 Transactions of the American Mathematical Society
10 Discrete Mathematics
8 Pacific Journal of Mathematics
7 Notices of the American Mathematical Society
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
4 Journal of Statistical Physics
4 Rocky Mountain Journal of Mathematics
4 American Journal of Mathematics
4 The Fibonacci Quarterly
4 Utilitas Mathematica
4 Aequationes Mathematicae
4 The Electronic Journal of Combinatorics
4 Integers
4 Journal of Combinatorial Theory
4 Encyclopedia of Mathematics and Its Applications
3 Duke Mathematical Journal
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 Bulletin of the Australian Mathematical Society
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 Journal of Integer Sequences
2 Developments in Mathematics
2 Research in Number Theory
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 Gaṇita
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 Hardy-Ramanujan Journal
1 Journal of National Academy of Mathematics, India
1 Algorithmica
1 SIAM Journal on Discrete Mathematics
1 Journal of the Ramanujan Mathematical Society
1 IMRN. International Mathematics Research Notices
1 Mathematical Chronicle
1 SIAM Review
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Documenta Mathematica
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 Mathematical Surveys and Monographs
1 Proceedings of the Steklov Institute of Mathematics
1 Regional Conference Series in Mathematics
1 Algebra & Number Theory
1 Springer Proceedings in Mathematics & Statistics
1 ICP Selected Papers
1 Mathematics
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Transactions of the American Mathematical Society. Series B
1 Journal of Ramanujan Society of Mathematics and Mathematical Sciences
1 Algebraic Combinatorics
1 Cambridge Mathematical Library
1 Enumerative Combinatorics and Applications

Publications by Year

Citations contained in zbMATH Open

337 Publications have been cited 8,964 times in 5,215 Documents Cited by Year
Special functions. Zbl 0920.33001
Andrews, George E.; Askey, Richard; Roy, Ranjan
1999
The theory of partitions. Zbl 0371.10001
Andrews, George E.
830
1976
The Lost Notebook and other unpublished papers. With an introduction by George E. Andrews. Zbl 0639.01023
Ramanujan, Srinivasa
528
1988
The theory of partitions. Zbl 0996.11002
Andrews, George E.
396
1998
\(q\)-series: their development and application in analysis, number theory, combinatorics, physics, and computer algebra. Zbl 0594.33001
Andrews, George E.
221
1986
Ramanujan’s lost notebook. I. Zbl 1075.11001
Andrews, George E.; Berndt, Bruce C.
213
2005
Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities. Zbl 0589.60093
Andrews, George E.; Baxter, R. J.; Forrester, P. J.
190
1984
Dyson’s crank of a partition. Zbl 0646.10008
Andrews, George E.; Garvan, F. G.
187
1988
Special functions. Paperback ed. Zbl 1075.33500
Andrews, George E.; Askey, Richard; Roy, Ranjan
141
2000
Ramanujan’s lost notebook. Part II. Zbl 1180.11001
Andrews, George E.; Berndt, Bruce C.
136
2009
Integer partitions. Zbl 1073.11063
Andrews, George E.; Eriksson, Kimmo
132
2004
Basic hypergeometric series and applications. With a foreword by George E. Andrews. Zbl 0647.05004
Fine, Nathan J.
122
1988
Multiple series Rogers-Ramanujan type identities. Zbl 0547.10012
Andrews, George E.
109
1984
An analytic generalization of the Rogers-Ramanujan identities for odd moduli. Zbl 0289.10010
Andrews, George E.
100
1974
Applications of basic hypergeometric functions. Zbl 0299.33004
Andrews, George E.
96
1974
On the geometry of numbers in elementary number theory. Zbl 0155.09302
Andrews, G. E.
83
1967
The fifth and seventh order mock theta functions. Zbl 0593.10018
Andrews, George E.
81
1986
Ramanujan’s “Lost” Notebook. VII: The sixth order mock theta functions. Zbl 0739.11042
Andrews, George E.; Hickerson, Dean
79
1991
The theory of partitions. Zbl 0655.10001
Andrews, George E.
79
1984
The number of smallest parts in the partitions of \(n\). Zbl 1153.11053
Andrews, George E.
75
2008
Generalized Frobenius partitions. Zbl 0544.10010
Andrews, George E.
73
1984
A trinomial analogue of Bailey’s lemma and \(N=2\) superconformal invariance. Zbl 0906.05004
Andrews, G. E.; Berkovich, A.
72
1998
Partitions and indefinite quadratic forms. Zbl 0642.10012
Andrews, George E.; Dyson, Freeman J.; Hickerson, Dean
72
1988
An introduction to Ramanujan’s ”lost” Notebook. Zbl 0401.01003
Andrews, George E.
70
1979
Plane partitions. III: The weak Macdonald conjecture. Zbl 0421.10011
Andrews, George E.
66
1979
The truncated pentagonal number theorem. Zbl 1246.05014
Andrews, George E.; Merca, Mircea
62
2012
Ramanujan’s “lost” notebook. I: Partial Theta-functions. Zbl 0477.33001
Andrews, George E.
60
1981
Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks. Zbl 1214.11116
Andrews, George E.
59
2007
Arithmetic properties of partitions with even parts distinct. Zbl 1218.05018
Andrews, George E.; Hirschhorn, Michael D.; Sellers, James A.
55
2010
The Bailey lattice. Zbl 0668.10020
Agarwal, A. K.; Andrews, G. E.; Bressoud, D. M.
53
1987
Bailey’s transform, lemma, chains and tree. Zbl 1005.33005
Andrews, George E.
51
2001
Rogers-Ramanujan identities for partitions with ”n copies of n”. Zbl 0618.05003
Agarwal, A. K.; Andrews, George E.
50
1987
Two theorems of Gauss and allied identities proved arithmetically. Zbl 0219.10021
Andrews, George E.
48
1972
MacMahon’s partition analysis. XI: Broken diamonds and modular forms. Zbl 1110.05010
Andrews, George E.; Paule, Peter
46
2007
Singular overpartitions. Zbl 1325.11107
Andrews, George E.
42
2015
On \(q\)-difference equations for certain well-poised basic hypergeometric series. Zbl 0165.08202
Andrews, G. E.
42
1968
A lower bound for the volume of strictly convex bodies with many boundary lattice points. Zbl 0118.28301
Andrews, G. E.
42
1963
Identities in combinatorics. III: Further aspects of ordered set sorting. Zbl 0581.05009
Andrews, G. E.; Bressoud, D. M.
41
1984
Truncated theta series and a problem of Guo and Zeng. Zbl 1454.05015
Andrews, George E.; Merca, Mircea
40
2018
Ramanujan’s “lost” notebook. III: The Rogers-Ramanujan continued fraction. Zbl 0477.33009
Andrews, George E.
39
1981
\(q\)-series identities and values of certain \(L\)-functions. Zbl 1005.11048
Andrews, George E.; Jiménez-Urroz, Jorge; Ono, Ken
39
2001
Plane partitions. V: The TSSCPP conjecture. Zbl 0797.05003
Andrews, George E.
39
1994
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
39
2015
Ramanujan’s lost notebook. Part IV. Zbl 1288.11002
Andrews, George E.; Berndt, Bruce C.
39
2013
Ramanujan’s lost notebook. Part III. Zbl 1248.11003
Andrews, George E.; Berndt, Bruce C.
39
2012
MacMahon’s partition analysis: The Omega package. Zbl 0979.05008
Andrews, George E.; Paule, Peter; Riese, Axel
38
2001
Lattice gas generalization of the hard hexagon model. III: \(q\)-trinomial coefficients. Zbl 0638.10009
Andrews, G. E.; Baxter, R. J.
38
1987
A generalization of the Göllnitz-Gordon partition theorems. Zbl 0153.32801
Andrews, George E.
36
1967
An analytic proof of the Rogers-Ramanujan-Gordon identities. Zbl 0147.26502
Andrews, G. E.
36
1966
The odd moments of ranks and cranks. Zbl 1264.11088
Andrews, George E.; Chan, Song Heng; Kim, Byungchan
36
2013
\(q\)-orthogonal polynomials, Rogers-Ramanujan identities, and mock theta functions. Zbl 1309.11015
Andrews, George E.
35
2012
An \(A_2\) Bailey lemma and Rogers-Ramanujan-type identities. Zbl 0917.05010
Andrews, George E.; Schilling, Anne; Warnaar, S. Ole
35
1999
\(q\)-analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher. Zbl 0937.05014
Andrews, George E.
35
1999
Partitions and Durfee dissection. Zbl 0409.10006
Andrews, George E.
35
1979
Ramanujan’s ”lost” notebook. V: Euler’s partition identity. Zbl 0601.10007
Andrews, George E.
35
1986
Another q-extension of the beta function. Zbl 0471.33001
Andrews, George E.; Askey, Richard
34
1981
Problems and prospects for basic hypergeometric functions. Zbl 0342.33001
Andrews, George E.
34
1975
Schur’s theorem, Capparelli’s conjecture and \(q\)-trinomial coefficients. Zbl 0811.05001
Andrews, George E.
33
1994
On the foundations of combinatorial theory. V: Eulerian differential operators. Zbl 0237.05002
Andrews, George E.
33
1971
On the q-analog of Kummer’s theorem and applications. Zbl 0266.33003
Andrews, George E.
33
1973
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.
32
1992
Ramanujan’s “Lost” Notebook. VI: The mock theta conjectures. Zbl 0677.10010
Andrews, George E.; Garvan, F. G.
31
1989
The Legendre-Stirling numbers. Zbl 1237.05010
Andrews, G. E.; Gawronski, W.; Littlejohn, L. L.
31
2011
The ranks and cranks of partitions moduli 2, 3, and 4. Zbl 0967.11043
Andrews, George E.; Lewis, Richard
30
2000
The WP-Bailey tree and its implications. Zbl 1049.33010
Andrews, George; Berkovich, Alexander
30
2002
Refinements and generalizations of Capparelli’s conjecture on partitions. Zbl 0830.05005
Alladi, Krishnaswami; Andrews, George; Gordon, Basil
29
1995
Baxter algebras and Hopf algebras. Zbl 1056.16025
Andrews, George E.; Guo, Li; Keigher, William; Ono, Ken
28
2003
On q-analogues of the Watson and Whipple summations. Zbl 0339.33007
Andrews, George E.
28
1976
Hecke modular forms and the Kac-Peterson identities. Zbl 0545.10016
Andrews, George E.
28
1984
A general theorem on partitions with difference conditions. Zbl 0186.30203
Andrews, G. E.
28
1969
A combinatorial interpretation of the Legendre-Stirling numbers. Zbl 1167.05002
Andrews, George E.; Littlejohn, Lance L.
28
2009
Summations and transformations for basic Appell series. Zbl 0235.33003
Andrews, George E.
26
1972
The Jacobi-Stirling numbers. Zbl 1261.11022
Andrews, George E.; Egge, Eric S.; Gawronski, Wolfgang; Littlejohn, Lance L.
26
2013
Partitions: yesterday and today. Zbl 0464.10009
Andrews, George E.
25
1979
Partition identities. Zbl 0235.10007
Andrews, George E.
25
1972
Ramanujan’s lost notebook. Part V. Zbl 1416.11001
Andrews, George E.; Berndt, Bruce C.
24
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
24
2017
Identities in combinatorics. IV: Differentiation and harmonic numbers. Zbl 0595.33005
Andrews, George E.; Uchimura, K.
24
1985
The product of partial theta functions. Zbl 1120.33014
Andrews, George E.; Warnaar, S. Ole
24
2007
A survey of multipartitions: Congruences and identities. Zbl 1183.11063
Andrews, George E.
24
2008
On basic hypergeometric series, mock theta functions, and partitions. I. Zbl 0136.05603
Andrews, George E.
24
1966
Generalizations and refinements of a partition theorem of Göllnitz. Zbl 0810.11061
Alladi, Krishnaswami; Andrews, George E.; Gordon, Basil
23
1995
Classical orthogonal polynomials. Zbl 0596.33016
Andrews, George E.; Askey, Richard
23
1985
Euler’s “De partitio numerorum”. Zbl 1172.11031
Andrews, George E.
23
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.
23
1987
Sieves in the theory of partitions. Zbl 0256.10011
Andrews, George E.
23
1972
On a conjecture of Peter Borwein. Zbl 0849.68062
Andrews, George E.
22
1995
ad-nilpotent \(\mathfrak b\)-ideals in \({\mathfrak{sl}}(n)\) having a fixed class of nilpotence: combinatorics and enumeration. Zbl 1041.17008
Andrews, George E.; Krattenthaler, Christian; Orsina, Luigi; Papi, Paolo
22
2002
Parity in partition identities. Zbl 1226.11107
Andrews, George E.
22
2010
Partitions with short sequences and mock theta functions (Inaugural article). Zbl 1207.11106
Andrews, George E.
22
2005
A simple proof of Jacobi’s triple product identity. Zbl 0132.30901
Andrews, G. E.
22
1965
Partitions with designated summands. Zbl 1004.05006
Andrews, G. E.; Lewis, R. P.; Lovejoy, J.
21
2002
Ramanujan’s “lost” notebook. IV: Stacks and alternating parity in partitions. Zbl 0539.33002
Andrews, George E.
21
1984
Euler’s “Exemplum memorabile inductionis fallacis” and q-trinomial coefficients. Zbl 0716.11012
Andrews, George E.
21
1990
Concave and convex compositions. Zbl 1325.05025
Andrews, George E.
21
2013
Concave compositions. Zbl 1229.05029
Andrews, George E.
21
2011
The hard-hexagon model and Rogers-Ramanujan type identities. Zbl 0526.33004
Andrews, George E.
20
1981
Identities in combinatorics. II: A q-analog of the Lagrange inversion theorem. Zbl 0315.05006
Andrews, George E.
20
1975
On the general Rogers-Ramanujan theorem. Zbl 0296.10010
Andrews, George E.
20
1974
On Ramanujan’s summation of \(_ 1\psi_ 1 (a;b;z)\). Zbl 0176.01901
Andrews, G. E.
20
1969
Sequences in overpartitions. Zbl 07695125
Andrews, George E.; Uncu, Ali K.
4
2023
Combinatorics of periodic ellipsoidal billiards. Zbl 07690253
Andrews, George E.; Dragović, Vladimir; Radnović, Milena
1
2023
A general class of Schmidt theorems. Zbl 1510.05012
Andrews, George; Keith, William
1
2023
MacMahon’s partition analysis XIII: Schmidt type partitions and modular forms. Zbl 1484.11201
Andrews, George E.; Paule, Peter
9
2022
Linked partition ideals and the Alladi-Schur theorem. Zbl 1491.11090
Andrews, George E.; Chern, Shane; Li, Zhitai
2
2022
On the \(k\)-measure of partitions and distinct partitions. Zbl 1508.11101
Andrews, George E.; Chern, Shane; Li, Zhitai
2
2022
Sequences in partitions. Zbl 1494.05007
Andrews, George E.; Bhattacharjee, Sreerupa; Dastidar, Manosij G.
1
2022
Anti-palindromic compositions. Zbl 1502.05002
Andrews, George E.; Just, Matthew; Simay, Greg
1
2022
The Ramanujan-Dyson identities and George Beck’s congruence conjectures. Zbl 1465.11200
Andrews, George Eyre
12
2021
A proof of Lin’s conjecture on inversion sequences avoiding patterns of relation triples. Zbl 1457.05003
Andrews, George E.; Chern, Shane
5
2021
A Stanley-Elder theorem on cranks and Frobenius symbols. Zbl 1479.05022
Andrews, George E.; Dastidar, Manosij G.; Morrill, Thomas
2
2021
Parity palindrome compositions. Zbl 1473.05019
Andrews, George E.; Simay, Greg
1
2021
The minimal excludant in integer partitions. Zbl 1441.11265
Andrews, George E.; Newman, David
18
2020
On the number of even parts in all partitions of \(n\) into distinct parts. Zbl 1473.11190
Andrews, George E.; Merca, Mircea
11
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
6
2020
Sequences in partitions, double \(q\)-series and the mock theta function \(\rho_3(q)\). Zbl 07293157
Andrews, George E.
3
2020
On a conjecture of Hanna connecting distinct part and complete partitions. Zbl 1442.05015
Andrews, George E.; Beck, George; Hopkins, Brian
2
2020
Partitions and the minimal excludant. Zbl 1458.11011
Andrews, George E.; Newman, David
16
2019
Almost partition identities. Zbl 1416.05026
Andrews, George E.; Ballantine, Cristina
9
2019
A refinement of the Alladi-Schur theorem. Zbl 1422.05015
Andrews, George E.
7
2019
Some identities associated with mock theta functions \(\omega (q)\) and \(\nu (q)\). Zbl 1419.05022
Andrews, George E.; Yee, Ae Ja
6
2019
Partitions with parts separated by parity. Zbl 1430.11142
Andrews, George E.
6
2019
Dyson’s “favorite” identity and Chebyshev polynomials of the third and fourth kind. Zbl 1433.05027
Andrews, George E.
1
2019
Binary and semi-Fibonacci partitions. Zbl 1462.11086
Andrews, George E.
1
2019
Truncated theta series and a problem of Guo and Zeng. Zbl 1454.05015
Andrews, George E.; Merca, Mircea
40
2018
Ramanujan’s lost notebook. Part V. Zbl 1416.11001
Andrews, George E.; Berndt, Bruce C.
24
2018
Integer partitions with even parts below odd parts and the mock theta functions. Zbl 1455.11139
Andrews, George E.
16
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
24
2017
Overpartitions related to the mock theta function \(\omega (q)\). Zbl 1422.11210
Andrews, George E.; Dixit, Atul; Schultz, Daniel; Yee, Ae Ja
10
2017
The Bhargava-Adiga summation and partitions. Zbl 1440.33016
Andrews, George E.
4
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
The Alladi-Schur polynomials and their factorization. Zbl 1416.11152
Andrews, George E.
3
2017
Binary partitions and binary partition polytopes. Zbl 1390.05017
Andrews, George E.; Lawrence, Jim
3
2017
Analytic number theory, modular forms and \(q\)-hypergeometric series. In honor of Krishna Alladi’s 60th birthday, University of Florida, Gainesville, FL, USA, March 17–21, 2016. Zbl 1388.11003
1
2017
Congruences for the Fishburn numbers. Zbl 1328.05015
Andrews, George E.; Sellers, James A.
14
2016
The first positive rank and crank moments for overpartitions. Zbl 1405.11136
Andrews, George; Chan, Song Heng; Kim, Byungchan; Osburn, Robert
13
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
4
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.
42
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
39
2015
Double series representations for Schur’s partition function and related identities. Zbl 1307.05224
Andrews, George; Bringmann, Kathrin; Mahlburg, Karl
16
2015
Partitions with fixed differences between largest and smallest parts. Zbl 1328.11106
Andrews, George E.; Beck, Matthias; Robbins, Neville
11
2015
Characterizing the number of \(m\)-ary partitions modulo \(m\). Zbl 1342.05013
Andrews, George E.; Fraenkel, Aviezri S.; Sellers, James A.
10
2015
Basis partition polynomials, overpartitions and the Rogers-Ramanujan identities. Zbl 1335.11086
Andrews, George E.
5
2015
The dual of Göllnitz’s (big) partition theorem. Zbl 1308.11089
Alladi, Krishnaswami; Andrews, George E.
3
2015
On \(q\)-series identities related to interval orders. Zbl 1284.05039
Andrews, George E.; Jelínek, Vít
11
2014
Knots and \(q\)-series. Zbl 1308.33013
Andrews, George E.
4
2014
Bailey pairs with free parameters, mock theta functions and tubular partitions. Zbl 1307.05021
Andrews, George E.
3
2014
Ramanujan’s lost notebook. Part IV. Zbl 1288.11002
Andrews, George E.; Berndt, Bruce C.
39
2013
The odd moments of ranks and cranks. Zbl 1264.11088
Andrews, George E.; Chan, Song Heng; Kim, Byungchan
36
2013
The Jacobi-Stirling numbers. Zbl 1261.11022
Andrews, George E.; Egge, Eric S.; Gawronski, Wolfgang; Littlejohn, Lance L.
26
2013
Concave and convex compositions. Zbl 1325.05025
Andrews, George E.
21
2013
Self-conjugate vector partitions and the parity of the spt-function. Zbl 1268.05019
Andrews, George E.; Garvan, Frank G.; Liang, Jie
20
2013
Modularity of the concave composition generating function. Zbl 1282.05016
Andrews, George E.; Rhoades, Robert C.; Zwegers, Sander P.
18
2013
On the distribution of the spt-crank. Zbl 1296.11130
Andrews, George E.; Dyson, Freeman J.; Rhoades, Robert C.
10
2013
MacMahon’s sum-of-divisors functions, Chebyshev polynomials, and quasi-modular forms. Zbl 1337.11002
Andrews, George E.; Rose, Simon C. F.
10
2013
Differences of partition functions: the anti-telescoping method. Zbl 1318.11130
Andrews, George E.
9
2013
Partitions with early conditions. Zbl 1271.05014
Andrews, George E.
5
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
62
2012
Ramanujan’s lost notebook. Part III. Zbl 1248.11003
Andrews, George E.; Berndt, Bruce C.
39
2012
\(q\)-orthogonal polynomials, Rogers-Ramanujan identities, and mock theta functions. Zbl 1309.11015
Andrews, George E.
35
2012
Combinatorial interpretations of congruences for the spt-function. Zbl 1256.05012
Andrews, George E.; Garvan, Frank G.; Liang, Jie
19
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.
31
2011
Concave compositions. Zbl 1229.05029
Andrews, George E.
21
2011
On Shapiro’s Catalan convolution. Zbl 1227.05029
Andrews, George E.
7
2011
Arithmetic properties of partitions with even parts distinct. Zbl 1218.05018
Andrews, George E.; Hirschhorn, Michael D.; Sellers, James A.
55
2010
Parity in partition identities. Zbl 1226.11107
Andrews, George E.
22
2010
\(q\)-Catalan identities. Zbl 1322.11018
Andrews, George E.
11
2010
Ramanujan’s lost notebook. Part II. Zbl 1180.11001
Andrews, George E.; Berndt, Bruce C.
136
2009
A combinatorial interpretation of the Legendre-Stirling numbers. Zbl 1167.05002
Andrews, George E.; Littlejohn, Lance L.
28
2009
Partitions with initial repetitions. Zbl 1189.05018
Andrews, George E.
12
2009
Partitions with distinct evens. Zbl 1182.05008
Andrews, George E.
8
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.
4
2009
The number of smallest parts in the partitions of \(n\). Zbl 1153.11053
Andrews, George E.
75
2008
A survey of multipartitions: Congruences and identities. Zbl 1183.11063
Andrews, George E.
24
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.
59
2007
MacMahon’s partition analysis. XI: Broken diamonds and modular forms. Zbl 1110.05010
Andrews, George E.; Paule, Peter
46
2007
The product of partial theta functions. Zbl 1120.33014
Andrews, George E.; Warnaar, S. Ole
24
2007
Euler’s “De partitio numerorum”. Zbl 1172.11031
Andrews, George E.
23
2007
The Bailey transform and false theta functions. Zbl 1116.33017
Andrews, George E.; Warnaar, S. Ole
19
2007
Integrals, partitions and MacMahon’s theorem. Zbl 1115.05005
Andrews, George; Eriksson, Henrik; Petrov, Fedor; Romik, Dan
15
2007
MacMahon’s partition analysis. XII: Plane partitions. Zbl 1137.05008
Andrews, George E.; Paule, Peter
7
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.
3
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.
213
2005
Partitions with short sequences and mock theta functions (Inaugural article). Zbl 1207.11106
Andrews, George E.
22
2005
Plane partitions. VI: Stembridge’s TSPP theorem. Zbl 1066.05019
Andrews, George E.; Paule, Peter; Schneider, Carsten
18
2005
Ramanujan’s “lost” notebook. IX: The partial theta function as an entire function. Zbl 1067.11063
Andrews, George E.
14
2005
...and 237 more Documents
all top 5

Cited by 4,309 Authors

136 Andrews, George Eyre
78 Merca, Mircea
60 Bringmann, Kathrin
54 Guo, Victor J. W.
50 Chu, Wenchang
48 Kim, Byungchan
47 Lovejoy, Jeremy
45 Yee, Ae Ja
44 Chern, Shane
44 Ismail, Mourad El-Houssieny
42 Xia, Ernest X. W.
40 Sellers, James Allen
39 Berndt, Bruce Carl
38 Ono, Ken
36 Zeng, Jiang
34 Chen, William Yong-Chuan
34 Warnaar, S. Ole
29 Berkovich, Alexander
28 Ballantine, Cristina M.
28 Yao, Olivia Xiang Mei
27 Krattenthaler, Christian Friedrich
26 Lin, Bernard L. S.
26 Sills, Andrew V.
26 Zeilberger, Doron
25 Garvan, Frank G.
25 Schlosser, Michael J.
25 Wang, Liuquan
24 Gu, Nancy Shan Shan
24 Stanton, Dennis W.
24 Tang, Dazhao
23 Baruah, Nayandeep Deka
23 Mao, Renrong
23 Mc Laughlin, James G.
23 Milne, Stephen C.
22 Alladi, Krishnaswami
22 Folsom, Amanda L.
21 Chan, Song Heng
21 Dixit, Atul
21 Jennings-Shaffer, Chris
21 Prodinger, Helmut
20 Cao, Jian
20 Dousse, Jehanne
20 Hirschhorn, Michael D.
20 Paule, Peter
20 Srivastava, Hari Mohan
20 Uncu, Ali Kemal
19 Agarwal, Ashok Kumar
19 Ji, Kathy Qing
18 Cui, Su-Ping
18 Knopfmacher, Arnold
18 Mahlburg, Karl
18 Mansour, Toufik
18 Milas, Antun
18 Ostrovska, Sofiya
18 Spiridonov, Vyacheslav Pavlovich
18 Zhang, Ruiming
18 Zhang, Zhizheng
17 Liu, Zhi-Guo
17 Munagi, Augustine O.
17 Pan, Hao
17 Pearce, Paul A.
17 Swisher, Holly
17 Wei, Chuanan
16 Ciucu, Mihai
16 Cooper, Shaun
16 Han, Guo-Niu
16 Mahadeva Naika, Megadahalli Sidda
16 Osburn, Robert
16 Rolen, Larry
15 Abd-Elhameed, Waleed Mohamed
15 Fulman, Jason E.
15 Mortenson, Eric T.
15 Rhoades, Robert C.
14 Chan, Heng Huat
14 Corteel, Sylvie
14 Fischer, Ilse
14 Foata, Dominique C.
14 Karp, Dmitriĭ Borisovich
14 Keith, William J.
14 Kim, Taekyun
14 Kurşungöz, Kağan
14 Mathieu, Pierre
14 Patkowski, Alexander Eric
14 Xu, Ce
14 Zaharescu, Alexandru
13 Bessenrodt, Christine
13 Bowman, Douglas C.
13 Bressoud, David M.
13 Fu, Shishuo
13 Jimbo, Michio
13 Ma, Xinrong
13 Wang, Andrew Y. Z.
12 da Silva, Robson
12 Demni, Nizar
12 Guo, Li
12 Hikami, Kazuhiro
12 Hou, Qinghu
12 Kim, Dae San
12 Miwa, Tetsuji
12 Pak, Igor
...and 4,209 more Authors
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Cited in 559 Serials

458 The Ramanujan Journal
209 Journal of Combinatorial Theory. Series A
196 Discrete Mathematics
185 Journal of Mathematical Analysis and Applications
175 Journal of Number Theory
173 International Journal of Number Theory
151 Proceedings of the American Mathematical Society
129 Advances in Mathematics
125 Advances in Applied Mathematics
102 Annals of Combinatorics
91 Transactions of the American Mathematical Society
75 European Journal of Combinatorics
67 The Electronic Journal of Combinatorics
62 Communications in Mathematical Physics
53 Nuclear Physics. B
50 Journal of Mathematical Physics
50 Applied Mathematics and Computation
46 Bulletin of the Australian Mathematical Society
46 Journal of Statistical Physics
42 Journal of High Energy Physics
41 Journal of Computational and Applied Mathematics
38 Rocky Mountain Journal of Mathematics
37 Mathematics of Computation
37 Journal of Approximation Theory
37 Research in Number Theory
33 Journal of Difference Equations and Applications
33 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
31 Journal of Algebra
31 Integers
29 Journal of Algebraic Combinatorics
29 Advances in Difference Equations
28 South East Asian Journal of Mathematics and Mathematical Sciences
26 Integral Transforms and Special Functions
26 Journal of Integer Sequences
25 Letters in Mathematical Physics
23 Monatshefte für Mathematik
23 Journal of Inequalities and Applications
22 Mathematical Notes
22 Results in Mathematics
22 Journal of Symbolic Computation
22 Constructive Approximation
22 Linear Algebra and its Applications
22 Journal of Mathematical Sciences (New York)
22 Research in the Mathematical Sciences
21 Duke Mathematical Journal
21 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
20 Discrete Applied Mathematics
20 Theoretical Computer Science
18 Indian Journal of Pure & Applied Mathematics
18 Acta Arithmetica
18 Filomat
17 Journal of Pure and Applied Algebra
17 Quaestiones Mathematicae
17 Turkish Journal of Mathematics
17 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
16 Communications in Algebra
16 Journal of Functional Analysis
16 Journal of Statistical Planning and Inference
16 Aequationes Mathematicae
16 Séminaire Lotharingien de Combinatoire
16 Computational Methods and Function Theory
16 Journal of Physics A: Mathematical and Theoretical
15 Proceedings of the National Academy of Sciences of the United States of America
15 Bulletin of the American Mathematical Society. New Series
15 Journal of Statistical Mechanics: Theory and Experiment
14 Theoretical and Mathematical Physics
14 Archiv der Mathematik
14 Mediterranean Journal of Mathematics
13 Annales de l’Institut Fourier
13 Functional Analysis and its Applications
13 Inventiones Mathematicae
13 Numerical Algorithms
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 Journal of Ramanujan Society of Mathematics and Mathematical Sciences
12 Mathematical Proceedings of the Cambridge Philosophical Society
12 Physics Letters. A
12 International Journal of Mathematics and Mathematical Sciences
12 Indagationes Mathematicae. New Series
12 Complex Analysis and Operator Theory
11 Mathematische Zeitschrift
11 International Journal of Mathematics
11 Experimental Mathematics
11 Central European Journal of Mathematics
11 Contributions to Discrete Mathematics
10 American Mathematical Monthly
10 Computers & Mathematics with Applications
10 Applied Mathematics Letters
10 Journal de Théorie des Nombres de Bordeaux
10 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
10 Journal of Applied Mathematics & Informatics
9 Studies in Applied Mathematics
9 Acta Mathematica Hungarica
9 Journal of the American Mathematical Society
9 The Journal of Fourier Analysis and Applications
9 Acta Mathematica Sinica. English Series
9 Analysis and Applications (Singapore)
8 Czechoslovak Mathematical Journal
8 Manuscripta Mathematica
8 Proceedings of the Edinburgh Mathematical Society. Series II
8 Bulletin of the Korean Mathematical Society
...and 459 more Serials
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Cited in 63 Fields

2,423 Number theory (11-XX)
2,262 Combinatorics (05-XX)
1,521 Special functions (33-XX)
314 Quantum theory (81-XX)
264 Nonassociative rings and algebras (17-XX)
261 Probability theory and stochastic processes (60-XX)
255 Statistical mechanics, structure of matter (82-XX)
181 Functions of a complex variable (30-XX)
176 Harmonic analysis on Euclidean spaces (42-XX)
171 Numerical analysis (65-XX)
167 Approximations and expansions (41-XX)
156 Computer science (68-XX)
154 Group theory and generalizations (20-XX)
146 Real functions (26-XX)
138 Linear and multilinear algebra; matrix theory (15-XX)
113 Partial differential equations (35-XX)
106 Difference and functional equations (39-XX)
101 Ordinary differential equations (34-XX)
90 Associative rings and algebras (16-XX)
85 Algebraic geometry (14-XX)
80 Operator theory (47-XX)
73 Convex and discrete geometry (52-XX)
70 Statistics (62-XX)
67 Integral transforms, operational calculus (44-XX)
56 Order, lattices, ordered algebraic structures (06-XX)
56 Topological groups, Lie groups (22-XX)
55 Sequences, series, summability (40-XX)
52 Functional analysis (46-XX)
49 Commutative algebra (13-XX)
48 Manifolds and cell complexes (57-XX)
48 Information and communication theory, circuits (94-XX)
46 Dynamical systems and ergodic theory (37-XX)
41 Operations research, mathematical programming (90-XX)
37 Abstract harmonic analysis (43-XX)
35 Global analysis, analysis on manifolds (58-XX)
31 Several complex variables and analytic spaces (32-XX)
29 Field theory and polynomials (12-XX)
28 History and biography (01-XX)
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25 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
24 Differential geometry (53-XX)
24 Relativity and gravitational theory (83-XX)
24 Biology and other natural sciences (92-XX)
17 Fluid mechanics (76-XX)
16 Integral equations (45-XX)
12 Mathematical logic and foundations (03-XX)
12 Geometry (51-XX)
10 Measure and integration (28-XX)
9 General and overarching topics; collections (00-XX)
9 Category theory; homological algebra (18-XX)
8 Mechanics of deformable solids (74-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
7 Systems theory; control (93-XX)
6 Mathematics education (97-XX)
5 Algebraic topology (55-XX)
5 Mechanics of particles and systems (70-XX)
5 Optics, electromagnetic theory (78-XX)
4 General algebraic systems (08-XX)
3 General topology (54-XX)
3 Classical thermodynamics, heat transfer (80-XX)
2 \(K\)-theory (19-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)

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