## Andrews, George Eyre

Compute Distance To:
 Author ID: andrews.george-eyre Published as: Andrews, George E.; Andrews, G. E.; Andrews, George; Andrews, George Eyre more...less Homepage: http://www.personal.psu.edu/gea1/ External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
 Documents Indexed: 364 Publications since 1961, including 19 Books 8 Contributions as Editor · 4 Further Contributions Reviewing Activity: 12 Reviews Biographic References: 10 Publications Co-Authors: 119 Co-Authors with 156 Joint Publications 2,787 Co-Co-Authors
all top 5

### Co-Authors

 212 single-authored 17 Paule, Peter 13 Berndt, Bruce Carl 11 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 Chern, Shane 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 Liang, Jie 2 Ramanujan, Srinivasa 2 Rhoades, Robert C. 2 Savage, Carla D. 2 Sills, Andrew V. 2 Simay, Greg 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 Ballantine, Cristina M. 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 Corteel, Sylvie 1 Crippa, Davide 1 Deutsch, Emeric 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 Fröhlich, Jürg Martin 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 Lebowitz, Joel Louis 1 Li, Zhitai 1 Liu, Zhi-Guo 1 Lovejoy, Jeremy 1 Mahlburg, Karl 1 Maldacena, Juan M. 1 Malik, Amita 1 McIntosh, Richard J. 1 Milne, Stephen C. 1 Montgomery, Hugh Lowell 1 Morrill, Thomas 1 Odlyzko, Andrew M. 1 Onofri, Enrico ...and 32 more Co-Authors
all top 5

### Serials

 17 The Ramanujan Journal 16 Journal of Combinatorial Theory. Series A 15 American Mathematical Monthly 15 Annals of Combinatorics 13 Proceedings of the American Mathematical Society 11 Advances in Mathematics 11 Journal of Number Theory 11 Transactions of the American Mathematical Society 9 Discrete Mathematics 8 Pacific Journal of Mathematics 6 Proceedings of the National Academy of Sciences of the United States of America 6 Notices of the American Mathematical Society 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 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 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 Developments in Mathematics 2 Research in Number Theory 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 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 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 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 Journal of Ramanujan Society of Mathematics and Mathematical Sciences 1 Cambridge Mathematical Library
all top 5

### Fields

 267 Number theory (11-XX) 243 Combinatorics (05-XX) 123 Special functions (33-XX) 24 History and biography (01-XX) 12 General and overarching topics; collections (00-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Computer science (68-XX) 6 Group theory and generalizations (20-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Probability theory and stochastic processes (60-XX) 3 Nonassociative rings and algebras (17-XX) 3 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Manifolds and cell complexes (57-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

321 Publications have been cited 8,077 times in 4,265 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.
1976
The Lost Notebook and other unpublished papers. With an introduction by George E. Andrews. Zbl 0639.01023
Ramanujan, Srinivasa
1988
The theory of partitions. Zbl 0996.11002
Andrews, George E.
1998
Ramanujan’s lost notebook. I. Zbl 1075.11001
Andrews, George E.; Berndt, Bruce C.
2005
$$q$$-series: their development and application in analysis, number theory, combinatorics, physics, and computer algebra. Zbl 0594.33001
Andrews, George E.
1986
Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities. Zbl 0589.60093
Andrews, George E.; Baxter, R. J.; Forrester, P. J.
1984
Dyson’s crank of a partition. Zbl 0646.10008
Andrews, George E.; Garvan, F. G.
1988
Ramanujan’s lost notebook. Part II. Zbl 1180.11001
Andrews, George E.; Berndt, Bruce C.
2009
Integer partitions. Zbl 1073.11063
Andrews, George E.; Eriksson, Kimmo
2004
Basic hypergeometric series and applications. With a foreword by George E. Andrews. Zbl 0647.05004
Fine, Nathan J.
1988
Multiple series Rogers-Ramanujan type identities. Zbl 0547.10012
Andrews, George E.
1984
Applications of basic hypergeometric functions. Zbl 0299.33004
Andrews, George E.
1974
Special functions. Paperback ed. Zbl 1075.33500
Andrews, George E.; Askey, Richard; Roy, Ranjan
2000
An analytic generalization of the Rogers-Ramanujan identities for odd moduli. Zbl 0289.10010
Andrews, George E.
1974
On the geometry of numbers in elementary number theory. Zbl 0155.09302
Andrews, G. E.
1967
Ramanujan’s “Lost” Notebook. VII: The sixth order mock theta functions. Zbl 0739.11042
Andrews, George E.; Hickerson, Dean
1991
The fifth and seventh order mock theta functions. Zbl 0593.10018
Andrews, George E.
1986
A trinomial analogue of Bailey’s lemma and $$N=2$$ superconformal invariance. Zbl 0906.05004
Andrews, G. E.; Berkovich, A.
1998
Partitions and indefinite quadratic forms. Zbl 0642.10012
Andrews, George E.; Dyson, Freeman J.; Hickerson, Dean
1988
An introduction to Ramanujan’s ”lost” Notebook. Zbl 0401.01003
Andrews, George E.
1979
Generalized Frobenius partitions. Zbl 0544.10010
Andrews, George E.
1984
The number of smallest parts in the partitions of $$n$$. Zbl 1153.11053
Andrews, George E.
2008
The theory of partitions. Zbl 0655.10001
Andrews, George E.
1984
Plane partitions. III: The weak Macdonald conjecture. Zbl 0421.10011
Andrews, George E.
1979
Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks. Zbl 1214.11116
Andrews, George E.
2007
Ramanujan’s “lost” notebook. I: Partial Theta-functions. Zbl 0477.33001
Andrews, George E.
1981
Arithmetic properties of partitions with even parts distinct. Zbl 1218.05018
Andrews, George E.; Hirschhorn, Michael D.; Sellers, James A.
2010
The truncated pentagonal number theorem. Zbl 1246.05014
Andrews, George E.; Merca, Mircea
2012
Two theorems of Gauss and allied identities proved arithmetically. Zbl 0219.10021
Andrews, George E.
1972
Rogers-Ramanujan identities for partitions with ”n copies of n”. Zbl 0618.05003
Agarwal, A. K.; Andrews, George E.
1987
The Bailey lattice. Zbl 0668.10020
Agarwal, A. K.; Andrews, G. E.; Bressoud, D. M.
1987
Bailey’s transform, lemma, chains and tree. Zbl 1005.33005
Andrews, George E.
2001
Identities in combinatorics. III: Further aspects of ordered set sorting. Zbl 0581.05009
Andrews, G. E.; Bressoud, D. M.
1984
MacMahon’s partition analysis. XI: Broken diamonds and modular forms. Zbl 1110.05010
Andrews, George E.; Paule, Peter
2007
On $$q$$-difference equations for certain well-poised basic hypergeometric series. Zbl 0165.08202
Andrews, G. E.
1968
A lower bound for the volume of strictly convex bodies with many boundary lattice points. Zbl 0118.28301
Andrews, G. E.
1963
Singular overpartitions. Zbl 1325.11107
Andrews, George E.
2015
Ramanujan’s “lost” notebook. III: The Rogers-Ramanujan continued fraction. Zbl 0477.33009
Andrews, George E.
1981
Ramanujan’s lost notebook. Part III. Zbl 1248.11003
Andrews, George E.; Berndt, Bruce C.
2012
$$q$$-series identities and values of certain $$L$$-functions. Zbl 1005.11048
Andrews, George E.; Jiménez-Urroz, Jorge; Ono, Ken
2001
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
2015
An analytic proof of the Rogers-Ramanujan-Gordon identities. Zbl 0147.26502
Andrews, G. E.
1966
Plane partitions. V: The TSSCPP conjecture. Zbl 0797.05003
Andrews, George E.
1994
The odd moments of ranks and cranks. Zbl 1264.11088
Andrews, George E.; Chan, Song Heng; Kim, Byungchan
2013
Ramanujan’s ”lost” notebook. V: Euler’s partition identity. Zbl 0601.10007
Andrews, George E.
1986
Ramanujan’s lost notebook. Part IV. Zbl 1288.11002
Andrews, George E.; Berndt, Bruce C.
2013
On the foundations of combinatorial theory. V: Eulerian differential operators. Zbl 0237.05002
Andrews, George E.
1971
Another q-extension of the beta function. Zbl 0471.33001
1981
$$q$$-orthogonal polynomials, Rogers-Ramanujan identities, and mock theta functions. Zbl 1309.11015
Andrews, George E.
2012
Lattice gas generalization of the hard hexagon model. III: $$q$$-trinomial coefficients. Zbl 0638.10009
Andrews, G. E.; Baxter, R. J.
1987
Ramanujan’s “Lost” Notebook. VI: The mock theta conjectures. Zbl 0677.10010
Andrews, George E.; Garvan, F. G.
1989
MacMahon’s partition analysis: The Omega package. Zbl 0979.05008
Andrews, George E.; Paule, Peter; Riese, Axel
2001
On the q-analog of Kummer’s theorem and applications. Zbl 0266.33003
Andrews, George E.
1973
A generalization of the Göllnitz-Gordon partition theorems. Zbl 0153.32801
Andrews, George E.
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.
1992
Partitions and Durfee dissection. Zbl 0409.10006
Andrews, George E.
1979
The WP-Bailey tree and its implications. Zbl 1049.33010
Andrews, George; Berkovich, Alexander
2002
The Legendre-Stirling numbers. Zbl 1237.05010
Andrews, G. E.; Gawronski, W.; Littlejohn, L. L.
2011
$$q$$-analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher. Zbl 0937.05014
Andrews, George E.
1999
The ranks and cranks of partitions moduli 2, 3, and 4. Zbl 0967.11043
Andrews, George E.; Lewis, Richard
2000
A combinatorial interpretation of the Legendre-Stirling numbers. Zbl 1167.05002
Andrews, George E.; Littlejohn, Lance L.
2009
Truncated theta series and a problem of Guo and Zeng. Zbl 1454.05015
Andrews, George E.; Merca, Mircea
2018
Schur’s theorem, Capparelli’s conjecture and $$q$$-trinomial coefficients. Zbl 0811.05001
Andrews, George E.
1994
An $$A_2$$ Bailey lemma and Rogers-Ramanujan-type identities. Zbl 0917.05010
Andrews, George E.; Schilling, Anne; Warnaar, S. Ole
1999
A general theorem on partitions with difference conditions. Zbl 0186.30203
Andrews, G. E.
1969
Refinements and generalizations of Capparelli’s conjecture on partitions. Zbl 0830.05005
Alladi, Krishnaswami; Andrews, George; Gordon, Basil
1995
On q-analogues of the Watson and Whipple summations. Zbl 0339.33007
Andrews, George E.
1976
The Jacobi-Stirling numbers. Zbl 1261.11022
Andrews, George E.; Egge, Eric S.; Gawronski, Wolfgang; Littlejohn, Lance L.
2013
Problems and prospects for basic hypergeometric functions. Zbl 0342.33001
Andrews, George E.
1975
Baxter algebras and Hopf algebras. Zbl 1056.16025
Andrews, George E.; Guo, Li; Keigher, William; Ono, Ken
2003
Hecke modular forms and the Kac-Peterson identities. Zbl 0545.10016
Andrews, George E.
1984
Partitions: yesterday and today. Zbl 0464.10009
Andrews, George E.
1979
On basic hypergeometric series, mock theta functions, and partitions. I. Zbl 0136.05603
Andrews, George E.
1966
Euler’s “De partitio numerorum”. Zbl 1172.11031
Andrews, George E.
2007
Identities in combinatorics. IV: Differentiation and harmonic numbers. Zbl 0595.33005
Andrews, George E.; Uchimura, K.
1985
Sieves in the theory of partitions. Zbl 0256.10011
Andrews, George E.
1972
Summations and transformations for basic Appell series. Zbl 0235.33003
Andrews, George E.
1972
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
2017
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.
1987
The product of partial theta functions. Zbl 1120.33014
Andrews, George E.; Warnaar, S. Ole
2007
Generalizations and refinements of a partition theorem of Göllnitz. Zbl 0810.11061
Alladi, Krishnaswami; Andrews, George E.; Gordon, Basil
1995
Classical orthogonal polynomials. Zbl 0596.33016
1985
Parity in partition identities. Zbl 1226.11107
Andrews, George E.
2010
Partitions with short sequences and mock theta functions (Inaugural article). Zbl 1207.11106
Andrews, George E.
2005
A survey of multipartitions: Congruences and identities. Zbl 1183.11063
Andrews, George E.
2008
Identities in combinatorics. II: A q-analog of the Lagrange inversion theorem. Zbl 0315.05006
Andrews, George E.
1975
Partitions with designated summands. Zbl 1004.05006
Andrews, G. E.; Lewis, R. P.; Lovejoy, J.
2002
On Ramanujan’s summation of $$_ 1\psi_ 1 (a;b;z)$$. Zbl 0176.01901
Andrews, G. E.
1969
Partition identities. Zbl 0235.10007
Andrews, George E.
1972
A simple proof of Jacobi’s triple product identity. Zbl 0132.30901
Andrews, G. E.
1965
Ramanujan’s “lost” notebook. IV: Stacks and alternating parity in partitions. Zbl 0539.33002
Andrews, George E.
1984
Concave and convex compositions. Zbl 1325.05025
Andrews, George E.
2013
Some new partition theorems. Zbl 0153.02102
Andrews, George E.
1967
Concave compositions. Zbl 1229.05029
Andrews, George E.
2011
The hard-hexagon model and Rogers-Ramanujan type identities. Zbl 0526.33004
Andrews, George E.
1981
Combinatorial interpretations of congruences for the spt-function. Zbl 1256.05012
Andrews, George E.; Garvan, Frank G.; Liang, Jie
2012
Modularity of the concave composition generating function. Zbl 1282.05016
Andrews, George E.; Rhoades, Robert C.; Zwegers, Sander P.
2013
Enumeration of partitions: the role of Eulerian series and $$q$$-orthogonal polynomials. Zbl 0381.10008
1977
A simple proof of Ramanujan’s summation of the $$_1\Psi_1$$. Zbl 0401.33002
1978
MacMahon’s partition analysis XIII: Schmidt type partitions and modular forms. Zbl 1484.11201
Andrews, George E.; Paule, Peter
2022
The Ramanujan-Dyson identities and George Beck’s congruence conjectures. Zbl 1465.11200
Andrews, George Eyre
2021
A proof of Lin’s conjecture on inversion sequences avoiding patterns of relation triples. Zbl 1457.05003
Andrews, George E.; Chern, Shane
2021
A Stanley-Elder theorem on cranks and Frobenius symbols. Zbl 1479.05022
Andrews, George E.; Dastidar, Manosij G.; Morrill, Thomas
2021
The minimal excludant in integer partitions. Zbl 1441.11265
Andrews, George E.; Newman, David
2020
On the number of even parts in all partitions of $$n$$ into distinct parts. Zbl 1473.11190
Andrews, George E.; Merca, Mircea
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
2020
Partitions and the minimal excludant. Zbl 1458.11011
Andrews, George E.; Newman, David
2019
Some identities associated with mock theta functions $$\omega (q)$$ and $$\nu (q)$$. Zbl 1419.05022
Andrews, George E.; Yee, Ae Ja
2019
Almost partition identities. Zbl 1416.05026
Andrews, George E.; Ballantine, Cristina
2019
A refinement of the Alladi-Schur theorem. Zbl 1422.05015
Andrews, George E.
2019
Partitions with parts separated by parity. Zbl 1430.11142
Andrews, George E.
2019
Binary and semi-Fibonacci partitions. Zbl 1462.11086
Andrews, George E.
2019
Truncated theta series and a problem of Guo and Zeng. Zbl 1454.05015
Andrews, George E.; Merca, Mircea
2018
Ramanujan’s lost notebook. Part V. Zbl 1416.11001
Andrews, George E.; Berndt, Bruce C.
2018
Integer partitions with even parts below odd parts and the mock theta functions. Zbl 1455.11139
Andrews, George E.
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
2017
Overpartitions related to the mock theta function $$\omega (q)$$. Zbl 1422.11210
Andrews, George E.; Dixit, Atul; Schultz, Daniel; Yee, Ae Ja
2017
Arithmetic properties of $$m$$-ary partitions without gaps. Zbl 1376.05010
Andrews, George E.; Brietzke, Eduardo; Rødseth, Øystein J.; Sellers, James A.
2017
The Alladi-Schur polynomials and their factorization. Zbl 1416.11152
Andrews, George E.
2017
Binary partitions and binary partition polytopes. Zbl 1390.05017
Andrews, George E.; Lawrence, Jim
2017
The Bhargava-Adiga summation and partitions. Zbl 1440.33016
Andrews, George E.
2017
The first positive rank and crank moments for overpartitions. Zbl 1405.11136
Andrews, George; Chan, Song Heng; Kim, Byungchan; Osburn, Robert
2016
Congruences for the Fishburn numbers. Zbl 1328.05015
Andrews, George E.; Sellers, James A.
2016
$$m$$-ary partitions with no gaps: a characterization modulo $$m$$. Zbl 1322.05015
Andrews, George E.; Fraenkel, Aviezri S.; Sellers, James A.
2016
A note on a method of Erdős and the Stanley-Elder theorems. Zbl 1415.11132
Andrews, George E.; Deutsch, Emeric
2016
Legendre theorems for subclasses of overpartitions. Zbl 1343.05027
Andrews, George E.; Yee, Ae Ja
2016
Singular overpartitions. Zbl 1325.11107
Andrews, George E.
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
2015
Double series representations for Schur’s partition function and related identities. Zbl 1307.05224
Andrews, George; Bringmann, Kathrin; Mahlburg, Karl
2015
Partitions with fixed differences between largest and smallest parts. Zbl 1328.11106
Andrews, George E.; Beck, Matthias; Robbins, Neville
2015
Characterizing the number of $$m$$-ary partitions modulo $$m$$. Zbl 1342.05013
Andrews, George E.; Fraenkel, Aviezri S.; Sellers, James A.
2015
Basis partition polynomials, overpartitions and the Rogers-Ramanujan identities. Zbl 1335.11086
Andrews, George E.
2015
The dual of Göllnitz’s (big) partition theorem. Zbl 1308.11089
2015
On $$q$$-series identities related to interval orders. Zbl 1284.05039
Andrews, George E.; Jelínek, Vít
2014
Bailey pairs with free parameters, mock theta functions and tubular partitions. Zbl 1307.05021
Andrews, George E.
2014
Knots and $$q$$-series. Zbl 1308.33013
Andrews, George E.
2014
The odd moments of ranks and cranks. Zbl 1264.11088
Andrews, George E.; Chan, Song Heng; Kim, Byungchan
2013
Ramanujan’s lost notebook. Part IV. Zbl 1288.11002
Andrews, George E.; Berndt, Bruce C.
2013
The Jacobi-Stirling numbers. Zbl 1261.11022
Andrews, George E.; Egge, Eric S.; Gawronski, Wolfgang; Littlejohn, Lance L.
2013
Concave and convex compositions. Zbl 1325.05025
Andrews, George E.
2013
Modularity of the concave composition generating function. Zbl 1282.05016
Andrews, George E.; Rhoades, Robert C.; Zwegers, Sander P.
2013
Self-conjugate vector partitions and the parity of the spt-function. Zbl 1268.05019
Andrews, George E.; Garvan, Frank G.; Liang, Jie
2013
On the distribution of the spt-crank. Zbl 1296.11130
Andrews, George E.; Dyson, Freeman J.; Rhoades, Robert C.
2013
MacMahon’s sum-of-divisors functions, Chebyshev polynomials, and quasi-modular forms. Zbl 1337.11002
Andrews, George E.; Rose, Simon C. F.
2013
Differences of partition functions: the anti-telescoping method. Zbl 1318.11130
Andrews, George E.
2013
Partitions with early conditions. Zbl 1271.05014
Andrews, George E.
2013
The selected works of George E. Andrews (with commentary). Edited by Andrew V. Sills. Zbl 1323.01002
Andrews, George E.
2013
Partitions. Zbl 1325.01012
Andrews, George E.
2013
Hypergeometric identities associated with statistics on words. Zbl 1275.33006
Andrews, George E.; Savage, Carla D.; Wilf, Herbert S.
2013
The truncated pentagonal number theorem. Zbl 1246.05014
Andrews, George E.; Merca, Mircea
2012
Ramanujan’s lost notebook. Part III. Zbl 1248.11003
Andrews, George E.; Berndt, Bruce C.
2012
$$q$$-orthogonal polynomials, Rogers-Ramanujan identities, and mock theta functions. Zbl 1309.11015
Andrews, George E.
2012
Combinatorial interpretations of congruences for the spt-function. Zbl 1256.05012
Andrews, George E.; Garvan, Frank G.; Liang, Jie
2012
Euler’s pentagonal number theorem and the Rogers-Fine identity. Zbl 1256.05018
Andrews, George E.; Bell, Jordan
2012
Drowning in the data deluge. Zbl 1284.01080
Andrews, George E.
2012
MacMahon’s dream. Zbl 1242.05016
Andrews, George E.; Paule, Peter
2012
The Legendre-Stirling numbers. Zbl 1237.05010
Andrews, G. E.; Gawronski, W.; Littlejohn, L. L.
2011
Concave compositions. Zbl 1229.05029
Andrews, George E.
2011
On Shapiro’s Catalan convolution. Zbl 1227.05029
Andrews, George E.
2011
Arithmetic properties of partitions with even parts distinct. Zbl 1218.05018
Andrews, George E.; Hirschhorn, Michael D.; Sellers, James A.
2010
Parity in partition identities. Zbl 1226.11107
Andrews, George E.
2010
$$q$$-Catalan identities. Zbl 1322.11018
Andrews, George E.
2010
Ramanujan’s lost notebook. Part II. Zbl 1180.11001
Andrews, George E.; Berndt, Bruce C.
2009
A combinatorial interpretation of the Legendre-Stirling numbers. Zbl 1167.05002
Andrews, George E.; Littlejohn, Lance L.
2009
Partitions with initial repetitions. Zbl 1189.05018
Andrews, George E.
2009
Partitions with distinct evens. Zbl 1182.05008
Andrews, George E.
2009
On $$q$$-series identities arising from lecture hall partitions. Zbl 1173.33012
Andrews, George E.; Corteel, Sylvie; Savage, Carla D.
2009
The finite Heine transformation. Zbl 1177.33032
Andrews, George E.
2009
The number of smallest parts in the partitions of $$n$$. Zbl 1153.11053
Andrews, George E.
2008
A survey of multipartitions: Congruences and identities. Zbl 1183.11063
Andrews, George E.
2008
Your hit parade: the top ten most fascinating formulas in Ramanujan’s lost notebook. Zbl 1153.33300
Andrews, George E.; Berndt, Bruce C.
2008
Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks. Zbl 1214.11116
Andrews, George E.
2007
MacMahon’s partition analysis. XI: Broken diamonds and modular forms. Zbl 1110.05010
Andrews, George E.; Paule, Peter
2007
Euler’s “De partitio numerorum”. Zbl 1172.11031
Andrews, George E.
2007
The product of partial theta functions. Zbl 1120.33014
Andrews, George E.; Warnaar, S. Ole
2007
The Bailey transform and false theta functions. Zbl 1116.33017
Andrews, George E.; Warnaar, S. Ole
2007
Integrals, partitions and MacMahon’s theorem. Zbl 1115.05005
Andrews, George; Eriksson, Henrik; Petrov, Fedor; Romik, Dan
2007
MacMahon’s partition analysis. XII: Plane partitions. Zbl 1137.05008
Andrews, George E.; Paule, Peter
2007
Carlitz and the general $$_{3}\varphi_{2}$$. Zbl 1114.33027
Andrews, George E.
2007
On Sloane’s generalization of non-squashing stacks of boxes. Zbl 1116.05005
Andrews, George E.; Sellers, James A.
2007
The theory of compositions. IV: Multicompositions. Zbl 1213.11180
Andrews, George E.
2007
A fine dream. Zbl 1197.11138
Andrews, George E.
2007
On the number of distinct multinomial coefficients. Zbl 1099.11005
Andrews, George E.; Knopfmacher, Arnold; Zimmermann, Burkhard
2006
Ramanujan’s lost notebook. I. Zbl 1075.11001
Andrews, George E.; Berndt, Bruce C.
2005
Partitions with short sequences and mock theta functions (Inaugural article). Zbl 1207.11106
Andrews, George E.
2005
Plane partitions. VI: Stembridge’s TSPP theorem. Zbl 1066.05019
Andrews, George E.; Paule, Peter; Schneider, Carsten
2005
Ramanujan’s “lost” notebook. IX: The partial theta function as an entire function. Zbl 1067.11063
Andrews, George E.
2005
Ramanujan’s “Lost” notebook. VIII: The entire Rogers-Ramanujan function. Zbl 1067.11062
Andrews, George E.
2005
Extension of Abel’s Lemma with $$q$$-series implications. Zbl 1081.33029
Andrews, George E.; Freitas, Pedro
2005
Continued fractions with three limit points. Zbl 1131.11311
Andrews, George E.; Berndt, Bruce C.; Sohn, Jaebum; Yee, Ae Ja; Zaharescu, Alexandru
2005
$$a$$-Gaussian polynomials and finite Rogers-Ramanujan identities. Zbl 1219.33015
Andrews, George E.
2005
Ramanujan’s congruences and Dyson’s crank. Zbl 1155.11349
Andrews, George E.; Ono, Ken
2005
Ramanujan and partial fractions. Zbl 1126.11005
Andrews, George E.
2005
A new partition identity coming from complex dynamics. Zbl 1094.37024
Andrews, George E.; Pérez, Rodrigo A.
2005
Integer partitions. Zbl 1073.11063
Andrews, George E.; Eriksson, Kimmo
2004
The Friedman-Joichi-Stanton monotonicity conjecture at primes. Zbl 1079.11055
Andrews, George E.
2004
Fibonacci numbers and the Rogers-Ramanujan identities. Zbl 1055.11011
Andrews, George E.
2004
On a partition function of Richard Stanly. Zbl 1067.05005
Andrews, George E.
2004
MacMahon’s partition analysis. X: Plane partitions with diagonals. Zbl 1080.11073
Andrews, G. E.; Paule, Peter; Riese, Axel
2004
...and 221 more Documents
all top 5

### Cited by 3,461 Authors

 123 Andrews, George Eyre 66 Merca, Mircea 56 Bringmann, Kathrin 50 Chu, Wenchang 48 Guo, Victor J. W. 45 Kim, Byungchan 45 Lovejoy, Jeremy 44 Yee, Ae Ja 37 Ismail, Mourad El-Houssieny 35 Chern, Shane 35 Sellers, James Allen 35 Zeng, Jiang 34 Berndt, Bruce Carl 34 Ono, Ken 33 Chen, William Yong-Chuan 33 Xia, Ernest X. W. 31 Warnaar, S. Ole 27 Berkovich, Alexander 26 Krattenthaler, Christian Friedrich 25 Zeilberger, Doron 24 Garvan, Frank G. 24 Lin, Bernard L. S. 24 Sills, Andrew V. 23 Milne, Stephen C. 22 Gu, Nancy Shan Shan 22 Mao, Renrong 22 Yao, Olivia Xiang Mei 21 Alladi, Krishnaswami 21 Baruah, Nayandeep Deka 21 Chan, Song Heng 21 Mc Laughlin, James G. 21 Prodinger, Helmut 21 Stanton, Dennis W. 20 Folsom, Amanda L. 19 Jennings-Shaffer, Chris 19 Tang, Dazhao 19 Wang, Liuquan 18 Cao, Jian 18 Hirschhorn, Michael D. 18 Mahlburg, Karl 18 Schlosser, Michael J. 18 Zhang, Zhizheng 17 Ballantine, Cristina M. 17 Knopfmacher, Arnold 17 Srivastava, Hari Mohan 16 Cui, Su-Ping 16 Dousse, Jehanne 16 Mahadeva Naika, Megadahalli Sidda 16 Munagi, Augustine O. 16 Paule, Peter 16 Swisher, Holly 16 Uncu, Ali Kemal 16 Zhang, Ruiming 15 Ciucu, Mihai 15 Cooper, Shaun 15 Liu, Zhi-Guo 15 Osburn, Robert 14 Corteel, Sylvie 14 Dixit, Atul 14 Ji, Kathy Qing 14 Mansour, Toufik 14 Mathieu, Pierre 14 Milas, Antun 14 Rhoades, Robert C. 14 Rolen, Larry 14 Spiridonov, Vyacheslav Pavlovich 13 Chan, Heng Huat 13 Foata, Dominique C. 13 Fulman, Jason E. 13 Han, Guo-Niu 13 Jimbo, Michio 13 Mortenson, Eric T. 13 Pan, Hao 13 Pearce, Paul A. 13 Wei, Chuanan 12 Bessenrodt, Christine 12 Bowman, Douglas C. 12 Fischer, Ilse 12 Fu, Shishuo 12 Guo, Li 12 Hikami, Kazuhiro 12 Keith, William J. 12 Miwa, Tetsuji 12 Pak, Igor 12 Patkowski, Alexander Eric 12 Savage, Carla D. 12 Stanley, Richard Peter 11 Bressoud, David M. 11 Chiaselotti, Giampiero 11 Hou, Qinghu 11 Kurşungöz, Kağan 11 Littlejohn, Lance L. 11 Ma, Xinrong 11 Ostrovska, Sofiya 11 Rawlings, Don 11 Wang, Mingjin 11 Xu, Ce 10 Chen, Shichao 10 da Silva, Robson 10 Feĭgin, Boris L’vovich ...and 3,361 more Authors
all top 5

### Cited in 477 Serials

 414 The Ramanujan Journal 196 Journal of Combinatorial Theory. Series A 177 Discrete Mathematics 152 Journal of Number Theory 152 International Journal of Number Theory 144 Proceedings of the American Mathematical Society 121 Journal of Mathematical Analysis and Applications 115 Advances in Mathematics 100 Advances in Applied Mathematics 90 Annals of Combinatorics 88 Transactions of the American Mathematical Society 72 European Journal of Combinatorics 58 Communications in Mathematical Physics 56 The Electronic Journal of Combinatorics 47 Nuclear Physics. B 44 Journal of Statistical Physics 41 Bulletin of the Australian Mathematical Society 36 Journal of Mathematical Physics 36 Mathematics of Computation 35 Journal of High Energy Physics 33 Rocky Mountain Journal of Mathematics 33 Journal of Computational and Applied Mathematics 33 Research in Number Theory 32 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 31 Journal of Difference Equations and Applications 29 Integers 26 Journal of Algebra 26 Journal of Algebraic Combinatorics 25 Applied Mathematics and Computation 25 South East Asian Journal of Mathematics and Mathematical Sciences 25 Advances in Difference Equations 22 Letters in Mathematical Physics 22 Journal of Mathematical Sciences (New York) 21 Mathematical Notes 21 Constructive Approximation 21 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 21 Integral Transforms and Special Functions 20 Duke Mathematical Journal 20 Journal of Integer Sequences 19 Journal of Approximation Theory 19 Monatshefte für Mathematik 19 Theoretical Computer Science 18 Research in the Mathematical Sciences 17 Discrete Applied Mathematics 17 Results in Mathematics 17 Journal of Symbolic Computation 17 Linear Algebra and its Applications 16 Journal of Inequalities and Applications 15 Communications in Algebra 15 Acta Arithmetica 15 Journal of Statistical Planning and Inference 15 Proceedings of the National Academy of Sciences of the United States of America 15 Filomat 14 Indian Journal of Pure & Applied Mathematics 14 Archiv der Mathematik 14 Bulletin of the American Mathematical Society. New Series 14 Mediterranean Journal of Mathematics 13 Annales de l’Institut Fourier 13 Functional Analysis and its Applications 13 Inventiones Mathematicae 13 Aequationes Mathematicae 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 Computational Methods and Function Theory 12 International Journal of Mathematics and Mathematical Sciences 12 Journal of Pure and Applied Algebra 12 Quaestiones Mathematicae 12 Numerical Algorithms 11 Mathematical Proceedings of the Cambridge Philosophical Society 11 Theoretical and Mathematical Physics 11 Complex Analysis and Operator Theory 10 Experimental Mathematics 10 Journal de Théorie des Nombres de Bordeaux 10 Séminaire Lotharingien de Combinatoire 10 Journal of Statistical Mechanics: Theory and Experiment 9 American Mathematical Monthly 9 Mathematische Zeitschrift 9 Studies in Applied Mathematics 9 Journal of the American Mathematical Society 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 Applied Mathematics & Informatics 8 Applied Mathematics Letters 8 International Journal of Mathematics 8 Journal of Algebra and its Applications 8 Journal of Physics A: Mathematical and Theoretical 8 Journal of Ramanujan Society of Mathematics and Mathematical Sciences 7 International Journal of Modern Physics A 7 Ukrainian Mathematical Journal 7 The Annals of Probability 7 Compositio Mathematica 7 Manuscripta Mathematica 7 Acta Mathematica Hungarica 7 Discrete & Computational Geometry 7 Indagationes Mathematicae. New Series 7 Bulletin des Sciences Mathématiques 7 Communications in Contemporary Mathematics 7 Journal of Nonlinear Mathematical Physics 7 Analysis and Applications (Singapore) ...and 377 more Serials
all top 5

### Cited in 62 Fields

 2,052 Number theory (11-XX) 1,950 Combinatorics (05-XX) 1,216 Special functions (33-XX) 248 Quantum theory (81-XX) 233 Nonassociative rings and algebras (17-XX) 223 Statistical mechanics, structure of matter (82-XX) 190 Probability theory and stochastic processes (60-XX) 136 Functions of a complex variable (30-XX) 129 Group theory and generalizations (20-XX) 123 Computer science (68-XX) 122 Approximations and expansions (41-XX) 119 Harmonic analysis on Euclidean spaces (42-XX) 115 Numerical analysis (65-XX) 109 Linear and multilinear algebra; matrix theory (15-XX) 98 Real functions (26-XX) 87 Difference and functional equations (39-XX) 78 Associative rings and algebras (16-XX) 72 Algebraic geometry (14-XX) 69 Partial differential equations (35-XX) 66 Ordinary differential equations (34-XX) 62 Convex and discrete geometry (52-XX) 52 Operator theory (47-XX) 51 Order, lattices, ordered algebraic structures (06-XX) 46 Sequences, series, summability (40-XX) 43 Manifolds and cell complexes (57-XX) 42 Topological groups, Lie groups (22-XX) 42 Integral transforms, operational calculus (44-XX) 42 Functional analysis (46-XX) 42 Statistics (62-XX) 41 Commutative algebra (13-XX) 41 Information and communication theory, circuits (94-XX) 36 Dynamical systems and ergodic theory (37-XX) 31 Abstract harmonic analysis (43-XX) 31 Operations research, mathematical programming (90-XX) 28 Global analysis, analysis on manifolds (58-XX) 24 Field theory and polynomials (12-XX) 23 History and biography (01-XX) 23 Several complex variables and analytic spaces (32-XX) 19 Relativity and gravitational theory (83-XX) 17 Differential geometry (53-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Biology and other natural sciences (92-XX) 15 Potential theory (31-XX) 12 Mathematical logic and foundations (03-XX) 11 Geometry (51-XX) 10 Fluid mechanics (76-XX) 8 Category theory; homological algebra (18-XX) 8 Integral equations (45-XX) 7 General and overarching topics; collections (00-XX) 7 Mechanics of deformable solids (74-XX) 6 Measure and integration (28-XX) 5 Algebraic topology (55-XX) 5 Systems theory; control (93-XX) 3 General algebraic systems (08-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of particles and systems (70-XX) 3 Optics, electromagnetic theory (78-XX) 3 Mathematics education (97-XX) 2 $$K$$-theory (19-XX) 2 General topology (54-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX)

### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.