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## Andrews, George Eyre

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 Author ID: 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
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#### 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
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#### 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
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#### Fields

 253 Number theory (11-XX) 234 Combinatorics (05-XX) 120 Special functions (33-XX) 21 History and biography (01-XX) 11 General and overarching topics; collections (00-XX) 11 Statistical mechanics, structure of matter (82-XX) 8 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

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.
1976
Special functions. Zbl 0920.33001
Andrews, George E.; Askey, Richard; Roy, Ranjan
1999
The theory of partitions. Zbl 0996.11002
Andrews, George E.
1998
$$q$$-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
Ramanujan’s lost notebook. I. Zbl 1075.11001
Andrews, George E.; Berndt, Bruce C.
2005
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
Multiple series Rogers-Ramanujan type identities. Zbl 0547.10012
Andrews, George E.
1984
Integer partitions. Zbl 1073.11063
Andrews, George E.; Eriksson, Kimmo
2004
On the geometry of numbers in elementary number theory. Zbl 0155.09302
Andrews, G. E.
1967
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
A trinomial analogue of Bailey’s lemma and $$N=2$$ superconformal invariance. Zbl 0906.05004
Andrews, G. E.; Berkovich, A.
1998
An analytic generalization of the Rogers-Ramanujan identities for odd moduli. Zbl 0289.10010
Andrews, George E.
1974
The fifth and seventh order mock theta functions. Zbl 0593.10018
Andrews, George E.
1986
Ramanujan’s “Lost” Notebook. VII: The sixth order mock theta functions. Zbl 0739.11042
Andrews, George E.; Hickerson, Dean
1991
An introduction to Ramanujan’s ”lost” Notebook. Zbl 0401.01003
Andrews, George E.
1979
Partitions and indefinite quadratic forms. Zbl 0642.10012
Andrews, George E.; Dyson, Freeman J.; Hickerson, Dean
1988
The number of smallest parts in the partitions of $$n$$. Zbl 1153.11053
Andrews, George E.
2008
Plane partitions. III: The weak Macdonald conjecture. Zbl 0421.10011
Andrews, George E.
1979
Generalized Frobenius partitions. Zbl 0544.10010
Andrews, George E.
1984
Ramanujan’s “lost” notebook. I: Partial Theta-functions. Zbl 0477.33001
Andrews, George E.
1981
The theory of partitions. Zbl 0655.10001
Andrews, George E.
1984
Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks. Zbl 1214.11116
Andrews, George E.
2007
Arithmetic properties of partitions with even parts distinct. Zbl 1218.05018
Andrews, George E.; Hirschhorn, Michael D.; Sellers, James A.
2010
Two theorems of Gauss and allied identities proved arithmetically. Zbl 0219.10021
Andrews, George E.
1972
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
Bailey’s transform, lemma, chains and tree. Zbl 1005.33005
Andrews, George E.
2001
On $$q$$-difference equations for certain well-poised basic hypergeometric series. Zbl 0165.08202
Andrews, G. E.
1968
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
A lower bound for the volume of strictly convex bodies with many boundary lattice points. Zbl 0118.28301
Andrews, G. E.
1963
An analytic proof of the Rogers-Ramanujan-Gordon identities. Zbl 0147.26502
Andrews, G. E.
1966
On the foundations of combinatorial theory. V: Eulerian differential operators. Zbl 0237.05002
Andrews, George E.
1971
Plane partitions. V: The TSSCPP conjecture. Zbl 0797.05003
Andrews, George E.
1994
$$q$$-series identities and values of certain $$L$$-functions. Zbl 1005.11048
Andrews, George E.; Jiménez-Urroz, Jorge; Ono, Ken
2001
Another q-extension of the beta function. Zbl 0471.33001
Andrews, George E.; Askey, Richard
1981
Ramanujan’s “lost” notebook. III: The Rogers-Ramanujan continued fraction. Zbl 0477.33009
Andrews, George E.
1981
The truncated pentagonal number theorem. Zbl 1246.05014
Andrews, George E.; Merca, Mircea
2012
MacMahon’s partition analysis: The Omega package. Zbl 0979.05008
Andrews, George E.; Paule, Peter; Riese, Axel
2001
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
Ramanujan’s ”lost” notebook. V: Euler’s partition identity. Zbl 0601.10007
Andrews, George E.
1986
Singular overpartitions. Zbl 1325.11107
Andrews, George E.
2015
The odd moments of ranks and cranks. Zbl 1264.11088
Andrews, George E.; Chan, Song Heng; Kim, Byungchan
2013
$$q$$-analogs of the binomial coefficient congruences of Babbage, Wolstenholme and Glaisher. Zbl 0937.05014
Andrews, George E.
1999
The WP-Bailey tree and its implications. Zbl 1049.33010
Andrews, George; Berkovich, Alexander
2002
On the q-analog of Kummer’s theorem and applications. Zbl 0266.33003
Andrews, George E.
1973
Partitions and Durfee dissection. Zbl 0409.10006
Andrews, George E.
1979
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
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
$$q$$-orthogonal polynomials, Rogers-Ramanujan identities, and mock theta functions. Zbl 1309.11015
Andrews, George E.
2012
Ramanujan’s lost notebook. Part III. Zbl 1248.11003
Andrews, George E.; Berndt, Bruce C.
2012
Ramanujan’s lost notebook. Part IV. Zbl 1288.11002
Andrews, George E.; Berndt, Bruce C.
2013
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
On q-analogues of the Watson and Whipple summations. Zbl 0339.33007
Andrews, George E.
1976
A combinatorial interpretation of the Legendre-Stirling numbers. Zbl 1167.05002
Andrews, George E.; Littlejohn, Lance L.
2009
The Legendre-Stirling numbers. Zbl 1237.05010
Andrews, G. E.; Gawronski, W.; Littlejohn, L. L.
2011
Schur’s theorem, Capparelli’s conjecture and $$q$$-trinomial coefficients. Zbl 0811.05001
Andrews, George E.
1994
Baxter algebras and Hopf algebras. Zbl 1056.16025
Andrews, George E.; Guo, Li; Keigher, William; Ono, Ken
2003
Refinements and generalizations of Capparelli’s conjecture on partitions. Zbl 0830.05005
Alladi, Krishnaswami; Andrews, George; Gordon, Basil
1995
On basic hypergeometric series, mock theta functions, and partitions. I. Zbl 0136.05603
Andrews, George E.
1966
The ranks and cranks of partitions moduli 2, 3, and 4. Zbl 0967.11043
Andrews, George E.; Lewis, Richard
2000
Identities in combinatorics. IV: Differentiation and harmonic numbers. Zbl 0595.33005
Andrews, George E.; Uchimura, K.
1985
Partitions: yesterday and today. Zbl 0464.10009
Andrews, George E.
1979
Sieves in the theory of partitions. Zbl 0256.10011
Andrews, George E.
1972
Problems and prospects for basic hypergeometric functions. Zbl 0342.33001
Andrews, George E.
1975
The Jacobi-Stirling numbers. Zbl 1261.11022
Andrews, George E.; Egge, Eric S.; Gawronski, Wolfgang; Littlejohn, Lance L.
2013
Summations and transformations for basic Appell series. Zbl 0235.33003
Andrews, George E.
1972
On Ramanujan’s summation of $$_ 1\psi_ 1 (a;b;z)$$. Zbl 0176.01901
Andrews, G. E.
1969
The product of partial theta functions. Zbl 1120.33014
Andrews, George E.; Warnaar, S. Ole
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.
1987
Some new partition theorems. Zbl 0153.02102
Andrews, George E.
1967
Identities in combinatorics. II: A q-analog of the Lagrange inversion theorem. Zbl 0315.05006
Andrews, George E.
1975
Euler’s “De partitio numerorum”. Zbl 1172.11031
Andrews, George E.
2007
Parity in partition identities. Zbl 1226.11107
Andrews, George E.
2010
Hecke modular forms and the Kac-Peterson identities. Zbl 0545.10016
Andrews, George E.
1984
Generalizations and refinements of a partition theorem of Göllnitz. Zbl 0810.11061
Alladi, Krishnaswami; Andrews, George E.; Gordon, Basil
1995
Enumeration of partitions: the role of Eulerian series and $$q$$-orthogonal polynomials. Zbl 0381.10008
Andrews, George E.; Askey, Richard
1977
The hard-hexagon model and Rogers-Ramanujan type identities. Zbl 0526.33004
Andrews, George E.
1981
A simple proof of Ramanujan’s summation of the $$_1\Psi_1$$. Zbl 0401.33002
Andrews, George E.; Askey, Richard
1978
A survey of multipartitions: Congruences and identities. Zbl 1183.11063
Andrews, George E.
2008
Classical orthogonal polynomials. Zbl 0596.33016
Andrews, George E.; Askey, Richard
1985
Partitions with short sequences and mock theta functions (Inaugural article). Zbl 1207.11106
Andrews, George E.
2005
Ramanujan’s “lost” notebook. IV: Stacks and alternating parity in partitions. Zbl 0539.33002
Andrews, George E.
1984
Combinatorial interpretations of congruences for the spt-function. Zbl 1256.05012
Andrews, George E.; Garvan, Frank G.; Liang, Jie
2012
A simple proof of Jacobi’s triple product identity. Zbl 0132.30901
Andrews, G. E.
1965
On basic hypergeometric series, mock theta functions, and partitions. II. Zbl 0144.25204
Andrews, George E.
1966
Enumerative proofs of certain q-identities. Zbl 0146.01205
Andrews, G. E.
1967
q-identities of Auluck, Carlitz, and Rogers. Zbl 0152.05202
Andrews, G. E.
1966
A polynomial identity which implies the Rogers-Ramanujan identities. Zbl 0204.32403
Andrews, G. E.
1970
Partition identities. Zbl 0235.10007
Andrews, George E.
1972
On the general Rogers-Ramanujan theorem. Zbl 0296.10010
Andrews, George E.
1974
Plane partitions. II: The equivalence of the Bender-Knuth and MacMahon conjectures. Zbl 0376.10014
Andrews, George E.
1977
Divisibility properties of the q-tangent numbers. Zbl 0401.10020
Andrews, George E.; Gessel, Ira
1978
Truncated theta series and a problem of Guo and Zeng. Zbl 1454.05015
Andrews, George E.; Merca, Mircea
2018
The minimal excludant in integer partitions. Zbl 1441.11265
Andrews, George E.; Newman, David
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
Some identities associated with mock theta functions $$\omega (q)$$ and $$\nu (q)$$. Zbl 1419.05022
Andrews, George E.; Yee, Ae Ja
2019
A refinement of the Alladi-Schur theorem. Zbl 1422.05015
Andrews, George E.
2019
Partitions and the minimal excludant. Zbl 1458.11011
Andrews, George E.; Newman, David
2019
Almost partition identities. Zbl 1416.05026
Andrews, George E.; Ballantine, Cristina
2019
Partitions with parts separated by parity. Zbl 1430.11142
Andrews, George E.
2019
Truncated theta series and a problem of Guo and Zeng. Zbl 1454.05015
Andrews, George E.; Merca, Mircea
2018
Integer partitions with even parts below odd parts and the mock theta functions. Zbl 1455.11139
Andrews, George E.
2018
Ramanujan’s lost notebook. Part V. Zbl 1416.11001
Andrews, George E.; Berndt, Bruce C.
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
Binary partitions and binary partition polytopes. Zbl 1390.05017
Andrews, George E.; Lawrence, Jim
2017
The Alladi-Schur polynomials and their factorization. Zbl 1416.11152
Andrews, George E.
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
Characterizing the number of $$m$$-ary partitions modulo $$m$$. Zbl 1342.05013
Andrews, George E.; Fraenkel, Aviezri S.; Sellers, James A.
2015
Partitions with fixed differences between largest and smallest parts. Zbl 1328.11106
Andrews, George E.; Beck, Matthias; Robbins, Neville
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
Alladi, Krishnaswami; Andrews, George E.
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
$$q$$-orthogonal polynomials, Rogers-Ramanujan identities, and mock theta functions. Zbl 1309.11015
Andrews, George E.
2012
Ramanujan’s lost notebook. Part III. Zbl 1248.11003
Andrews, George E.; Berndt, Bruce C.
2012
Combinatorial interpretations of congruences for the spt-function. Zbl 1256.05012
Andrews, George E.; Garvan, Frank G.; Liang, Jie
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
Euler’s pentagonal number theorem and the Rogers-Fine identity. Zbl 1256.05018
Andrews, George E.; Bell, Jordan
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
The product of partial theta functions. Zbl 1120.33014
Andrews, George E.; Warnaar, S. Ole
2007
Euler’s “De partitio numerorum”. Zbl 1172.11031
Andrews, George E.
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
A new partition identity coming from complex dynamics. Zbl 1094.37024
Andrews, George E.; Pérez, Rodrigo A.
2005
Ramanujan and partial fractions. Zbl 1126.11005
Andrews, George E.
2005
Integer partitions. Zbl 1073.11063
Andrews, George E.; Eriksson, Kimmo
2004
Fibonacci numbers and the Rogers-Ramanujan identities. Zbl 1055.11011
Andrews, George E.
2004
The Friedman-Joichi-Stanton monotonicity conjecture at primes. Zbl 1079.11055
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
Baxter algebras and Hopf algebras. Zbl 1056.16025
Andrews, George E.; Guo, Li; Keigher, William; Ono, Ken
2003
Partitions: At the interface of $$q$$-series and modular forms. Zbl 1046.11073
Andrews, George E.
2003
A new four parameter $$q$$-series identity and its partition implications. Zbl 1097.05006
Alladi, Krishnaswami; Andrews, George E.; Berkovich, Alexander
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
2003
Determinants of random matrices and Jack polynomials of rectangular shape. Zbl 1141.15313
Andrews, G. E.; Goulden, I. P.; Jackson, D. M.
2003
The WP-Bailey tree and its implications. Zbl 1049.33010
Andrews, George; Berkovich, Alexander
2002
Partitions with designated summands. Zbl 1004.05006
Andrews, G. E.; Lewis, R. P.; Lovejoy, J.
2002
...and 212 more Documents
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#### 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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