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Berkovich, Alexander

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Author ID: berkovich.alexander Recent zbMATH articles by "Berkovich, Alexander"
Published as: Berkovich, Alexander; Berkovich, A.
Homepage: http://people.clas.ufl.edu/alexb/
Documents Indexed: 59 Publications since 1992

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 486 times in 327 Documents Cited by Year
A trinomial analogue of Bailey’s lemma and \(N=2\) superconformal invariance. Zbl 0906.05004
Andrews, G. E.; Berkovich, A.
72
1998
Some observations on Dyson’s new symmetries of partitions. Zbl 1016.05003
Berkovich, Alexander; Garvan, Frank G.
46
2002
The WP-Bailey tree and its implications. Zbl 1049.33010
Andrews, George; Berkovich, Alexander
28
2002
Continued fractions and fermionic representations for characters of \(M(p,p')\) minimal models. Zbl 0846.05004
Berkovich, Alexander; McCoy, Barry M.
26
1996
Rogers-Schur-Ramanujan type identities for the \(M(p,p')\) minimal models of conformal field theory. Zbl 0901.60091
Berkovich, Alexander; McCoy, Barry M.; Schilling, Anne
25
1998
Fermionic counting of RSOS states and Virasoro character formulas for the unitary minimal series \(M(\nu,\nu+1)\): Exact results. Zbl 1020.81620
Berkovich, Alexander
23
1994
Positivity preserving transformations for \(q\)-binomial coefficients. Zbl 1061.33015
Berkovich, Alexander; Warnaar, S. Ole
20
2005
Polynomial identities, indices, and duality for the \(N=1\) superconformal model \(SM(2,4\nu)\). Zbl 1081.82537
Berkovich, Alexander; McCoy, Barry M.; Orrick, William P.
16
1996
A new four parameter \(q\)-series identity and its partition implications. Zbl 1097.05006
Alladi, Krishnaswami; Andrews, George E.; Berkovich, Alexander
12
2003
New identities for 7-cores with prescribed BG-rank. Zbl 1223.05010
Berkovich, Alexander; Yesilyurt, Hamza
12
2008
Ramanujan’s identities and representation of integers by certain binary and quaternary quadratic forms. Zbl 1239.11043
Berkovich, Alexander; Yesilyurt, Hamza
12
2009
The perturbations \(\phi_{2,1}\) and \(\phi_{1,5}\) of the minimal models \(M(p,p^\prime\)) and the trinomial analogue of Bailey’s lemma. Zbl 0945.81057
Berkovich, Alexander; McCoy, Barry M.; Pearce, Paul A.
11
1998
On the Andrews-Stanley refinement of Ramanujan’s partition congruence modulo \(5\) and generalizations. Zbl 1088.11073
Berkovich, Alexander; Garvan, Frank G.
11
2006
Rogers-Ramanujan identities: A century of progress from mathematics to physics. Zbl 0973.11090
Berkovich, Alexander; McCoy, Barry M.
9
1998
Lattice paths, \(q\)-multinomials and two variants of the Andrews-Gordon identities. Zbl 0993.05014
Berkovich, Alexander; Paule, Peter
9
2001
New polynomial analogues of Jacobi’s triple product and Lebesgue’s identities. Zbl 1054.33012
Alladi, Krishnaswami; Berkovich, Alexander
9
2004
Variants of the Andrews-Gordon identities. Zbl 0993.05013
Berkovich, Alexander; Paule, Peter
8
2001
Göllnitz-Gordon partitions with weights and parity conditions. Zbl 1176.11047
Alladi, Krishnaswami; Berkovich, Alexander
8
2005
Polynomial identities implying Capparelli’s partition theorems. Zbl 1418.05016
Berkovich, Alexander; Uncu, Ali Kemal
8
2019
On partitions with fixed number of even-indexed and odd-indexed odd parts. Zbl 1337.05007
Berkovich, Alexander; Uncu, Ali Kemal
8
2016
On the representations of integers by the sextenary quadratic form \(x^2+y^2+z^2+7s^2+7t^2+7u^2\) and 7-cores. Zbl 1162.05005
Berkovich, Alexander; Yesilyurt, Hamza
7
2009
Dissecting the Stanley partition function. Zbl 1142.05001
Berkovich, Alexander; Garvan, Frank G.
6
2005
A new companion to Capparelli’s identities. Zbl 1322.05016
Berkovich, Alexander; Uncu, Ali Kemal
6
2015
The BG-rank of a partition and its applications. Zbl 1228.11159
Berkovich, Alexander; Garvan, Frank G.
6
2008
New weighted Rogers-Ramanujan partition theorems and their implications. Zbl 1074.11058
Alladi, Krishnaswami; Berkovich, Alexander
5
2002
A double bounded key identity for Göllnitz’s (big) partition theorem. Zbl 1040.11071
Alladi, Krishnaswami; Berkovich, Alexander
5
2001
On representation of an integer as the sum of three squares and ternary quadratic forms with the discriminants \(p^2\), \(16p^2\). Zbl 1245.11049
Berkovich, Alexander; Jagy, William C.
5
2012
Bailey flows and Bose-Fermi identities for the conformal coset models \((A^{(1)}_1)_N\times (A^{(1)}_1)_{N^\prime}/ (A^{(1)}_1)_{N+N^\prime{}}\). Zbl 0934.81012
Berkovich, Alexander; McCoy, Barry M.; Schilling, Anne; Warnaar, S. Ole
5
1997
Binary quadratic forms and the Fourier coefficients of certain weight 1 \(\eta\)-quotients. Zbl 1385.11009
Berkovich, Alexander; Patane, Frank
5
2014
Elementary polynomial identities involving \(q\)-trinomial coefficients. Zbl 1431.11030
Berkovich, Alexander; Uncu, Ali Kemal
5
2019
The perturbation \(\varphi_{2,1}\) of the \(M(p,p+1)\) models of conformal field theory and related polynomial-character identities. Zbl 0971.05010
Berkovich, Alexander; McCoy, Barry
4
2000
Spin-anisotropy commensurable chains. Quantum group symmetries and \(N=2\) SUSY. Zbl 1007.82502
Berkovich, Alexander; Gómez, César; Sierra, Germán
4
1994
A computer proof of a polynomial identity implying a partition theorem of Göllnitz. Zbl 1021.11027
Berkovich, Alexander; Riese, Axel
4
2001
Races among products. Zbl 1251.05010
Berkovich, Alexander; Grizzell, Keith
4
2012
A partition inequality involving products of two \(q\)-Pochhammer symbols. Zbl 1352.11095
Berkovich, Alexander; Grizzell, Keith
4
2014
K. Saito’s Conjecture for nonnegative eta products and analogous results for other infinite products. Zbl 1143.05008
Berkovich, Alexander; Garvan, Frank G.
4
2008
Generalizations of the Andrews-Bressoud identities for the \(N = 1\) superconformal model \(SM(2, 4\nu )\). Zbl 1185.81112
Berkovich, A.; McCoy, B. M.
4
1997
A double bounded version of Schur’s partition theorem. Zbl 0997.05006
Alladi, Krishnaswami; Berkovich, Alexander
3
2002
New weighted partition theorems with the emphasis on the smallest part of partitions. Zbl 1393.05042
Berkovich, Alexander; Uncu, Ali Kemal
3
2017
A proof of the \(S\)-genus identities for ternary quadratic forms. Zbl 1341.11014
Berkovich, Alexander; Hanke, Jonathan; Jagy, Will
2
2012
Essentially unique representations by certain ternary quadratic forms. Zbl 1322.11029
Berkovich, Alexander; Patane, Frank
2
2015
Ternary quadratic forms, modular equations, and certain positivity conjectures. Zbl 1322.11028
Berkovich, Alexander; Jagy, William C.
2
2010
On the class of dominant and subordinate products. Zbl 1296.11131
Berkovich, Alexander; Grizzell, Keith
2
2013
Variation on a theme of Nathan Fine. New weighted partition identities. Zbl 1358.05021
Berkovich, Alexander; Uncu, Ali K.
2
2017
A limiting form of the \(q\)-Dixon \(_4 \varphi _3\) summation and related partition identities. Zbl 1132.11364
Alladi, Krishnaswami; Berkovich, Alexander
2
2002
Some elementary partition inequalities and their implications. Zbl 1415.05009
Berkovich, Alexander; Uncu, Ali Kemal
2
2019
On representation of an integer by \(X^{2} + Y^{2} + Z^{2}\) and the modular equations of degree 3 and 5. Zbl 1285.11062
Berkovich, Alexander
2
2013
On Rogers-Ramanujan functions, binary quadratic forms and eta-quotients. Zbl 1314.11019
Berkovich, Alexander; Yesilyurt, Hamza
2
2014
Refined \(q\)-trinomial coefficients and two infinite hierarchies of \(q\)-series identities. Zbl 07293158
Berkovich, Alexander; Uncu, Ali Kemal
2
2020
On a new class of integrable models. Zbl 0797.17024
Berkovich, Alexander; Gómez, César; Sierra, Germán
1
1992
The GBG-rank and \(t\)-cores. I: Counting and 4-cores. Zbl 1258.11090
Berkovich, Alexander; Garvan, Frank G.
1
2009
On the Gauss \(E\Upsilon PHKA\) theorem and some allied inequalities. Zbl 1326.11010
Berkovich, Alexander
1
2015
On the difference of partial theta functions. Zbl 1467.33011
Berkovich, Alexander
1
2021
On the difference of partial theta functions. Zbl 1467.33011
Berkovich, Alexander
1
2021
Refined \(q\)-trinomial coefficients and two infinite hierarchies of \(q\)-series identities. Zbl 07293158
Berkovich, Alexander; Uncu, Ali Kemal
2
2020
Polynomial identities implying Capparelli’s partition theorems. Zbl 1418.05016
Berkovich, Alexander; Uncu, Ali Kemal
8
2019
Elementary polynomial identities involving \(q\)-trinomial coefficients. Zbl 1431.11030
Berkovich, Alexander; Uncu, Ali Kemal
5
2019
Some elementary partition inequalities and their implications. Zbl 1415.05009
Berkovich, Alexander; Uncu, Ali Kemal
2
2019
New weighted partition theorems with the emphasis on the smallest part of partitions. Zbl 1393.05042
Berkovich, Alexander; Uncu, Ali Kemal
3
2017
Variation on a theme of Nathan Fine. New weighted partition identities. Zbl 1358.05021
Berkovich, Alexander; Uncu, Ali K.
2
2017
On partitions with fixed number of even-indexed and odd-indexed odd parts. Zbl 1337.05007
Berkovich, Alexander; Uncu, Ali Kemal
8
2016
A new companion to Capparelli’s identities. Zbl 1322.05016
Berkovich, Alexander; Uncu, Ali Kemal
6
2015
Essentially unique representations by certain ternary quadratic forms. Zbl 1322.11029
Berkovich, Alexander; Patane, Frank
2
2015
On the Gauss \(E\Upsilon PHKA\) theorem and some allied inequalities. Zbl 1326.11010
Berkovich, Alexander
1
2015
Binary quadratic forms and the Fourier coefficients of certain weight 1 \(\eta\)-quotients. Zbl 1385.11009
Berkovich, Alexander; Patane, Frank
5
2014
A partition inequality involving products of two \(q\)-Pochhammer symbols. Zbl 1352.11095
Berkovich, Alexander; Grizzell, Keith
4
2014
On Rogers-Ramanujan functions, binary quadratic forms and eta-quotients. Zbl 1314.11019
Berkovich, Alexander; Yesilyurt, Hamza
2
2014
On the class of dominant and subordinate products. Zbl 1296.11131
Berkovich, Alexander; Grizzell, Keith
2
2013
On representation of an integer by \(X^{2} + Y^{2} + Z^{2}\) and the modular equations of degree 3 and 5. Zbl 1285.11062
Berkovich, Alexander
2
2013
On representation of an integer as the sum of three squares and ternary quadratic forms with the discriminants \(p^2\), \(16p^2\). Zbl 1245.11049
Berkovich, Alexander; Jagy, William C.
5
2012
Races among products. Zbl 1251.05010
Berkovich, Alexander; Grizzell, Keith
4
2012
A proof of the \(S\)-genus identities for ternary quadratic forms. Zbl 1341.11014
Berkovich, Alexander; Hanke, Jonathan; Jagy, Will
2
2012
Ternary quadratic forms, modular equations, and certain positivity conjectures. Zbl 1322.11028
Berkovich, Alexander; Jagy, William C.
2
2010
Ramanujan’s identities and representation of integers by certain binary and quaternary quadratic forms. Zbl 1239.11043
Berkovich, Alexander; Yesilyurt, Hamza
12
2009
On the representations of integers by the sextenary quadratic form \(x^2+y^2+z^2+7s^2+7t^2+7u^2\) and 7-cores. Zbl 1162.05005
Berkovich, Alexander; Yesilyurt, Hamza
7
2009
The GBG-rank and \(t\)-cores. I: Counting and 4-cores. Zbl 1258.11090
Berkovich, Alexander; Garvan, Frank G.
1
2009
New identities for 7-cores with prescribed BG-rank. Zbl 1223.05010
Berkovich, Alexander; Yesilyurt, Hamza
12
2008
The BG-rank of a partition and its applications. Zbl 1228.11159
Berkovich, Alexander; Garvan, Frank G.
6
2008
K. Saito’s Conjecture for nonnegative eta products and analogous results for other infinite products. Zbl 1143.05008
Berkovich, Alexander; Garvan, Frank G.
4
2008
On the Andrews-Stanley refinement of Ramanujan’s partition congruence modulo \(5\) and generalizations. Zbl 1088.11073
Berkovich, Alexander; Garvan, Frank G.
11
2006
Positivity preserving transformations for \(q\)-binomial coefficients. Zbl 1061.33015
Berkovich, Alexander; Warnaar, S. Ole
20
2005
Göllnitz-Gordon partitions with weights and parity conditions. Zbl 1176.11047
Alladi, Krishnaswami; Berkovich, Alexander
8
2005
Dissecting the Stanley partition function. Zbl 1142.05001
Berkovich, Alexander; Garvan, Frank G.
6
2005
New polynomial analogues of Jacobi’s triple product and Lebesgue’s identities. Zbl 1054.33012
Alladi, Krishnaswami; Berkovich, Alexander
9
2004
A new four parameter \(q\)-series identity and its partition implications. Zbl 1097.05006
Alladi, Krishnaswami; Andrews, George E.; Berkovich, Alexander
12
2003
Some observations on Dyson’s new symmetries of partitions. Zbl 1016.05003
Berkovich, Alexander; Garvan, Frank G.
46
2002
The WP-Bailey tree and its implications. Zbl 1049.33010
Andrews, George; Berkovich, Alexander
28
2002
New weighted Rogers-Ramanujan partition theorems and their implications. Zbl 1074.11058
Alladi, Krishnaswami; Berkovich, Alexander
5
2002
A double bounded version of Schur’s partition theorem. Zbl 0997.05006
Alladi, Krishnaswami; Berkovich, Alexander
3
2002
A limiting form of the \(q\)-Dixon \(_4 \varphi _3\) summation and related partition identities. Zbl 1132.11364
Alladi, Krishnaswami; Berkovich, Alexander
2
2002
Lattice paths, \(q\)-multinomials and two variants of the Andrews-Gordon identities. Zbl 0993.05014
Berkovich, Alexander; Paule, Peter
9
2001
Variants of the Andrews-Gordon identities. Zbl 0993.05013
Berkovich, Alexander; Paule, Peter
8
2001
A double bounded key identity for Göllnitz’s (big) partition theorem. Zbl 1040.11071
Alladi, Krishnaswami; Berkovich, Alexander
5
2001
A computer proof of a polynomial identity implying a partition theorem of Göllnitz. Zbl 1021.11027
Berkovich, Alexander; Riese, Axel
4
2001
The perturbation \(\varphi_{2,1}\) of the \(M(p,p+1)\) models of conformal field theory and related polynomial-character identities. Zbl 0971.05010
Berkovich, Alexander; McCoy, Barry
4
2000
A trinomial analogue of Bailey’s lemma and \(N=2\) superconformal invariance. Zbl 0906.05004
Andrews, G. E.; Berkovich, A.
72
1998
Rogers-Schur-Ramanujan type identities for the \(M(p,p')\) minimal models of conformal field theory. Zbl 0901.60091
Berkovich, Alexander; McCoy, Barry M.; Schilling, Anne
25
1998
The perturbations \(\phi_{2,1}\) and \(\phi_{1,5}\) of the minimal models \(M(p,p^\prime\)) and the trinomial analogue of Bailey’s lemma. Zbl 0945.81057
Berkovich, Alexander; McCoy, Barry M.; Pearce, Paul A.
11
1998
Rogers-Ramanujan identities: A century of progress from mathematics to physics. Zbl 0973.11090
Berkovich, Alexander; McCoy, Barry M.
9
1998
Bailey flows and Bose-Fermi identities for the conformal coset models \((A^{(1)}_1)_N\times (A^{(1)}_1)_{N^\prime}/ (A^{(1)}_1)_{N+N^\prime{}}\). Zbl 0934.81012
Berkovich, Alexander; McCoy, Barry M.; Schilling, Anne; Warnaar, S. Ole
5
1997
Generalizations of the Andrews-Bressoud identities for the \(N = 1\) superconformal model \(SM(2, 4\nu )\). Zbl 1185.81112
Berkovich, A.; McCoy, B. M.
4
1997
Continued fractions and fermionic representations for characters of \(M(p,p')\) minimal models. Zbl 0846.05004
Berkovich, Alexander; McCoy, Barry M.
26
1996
Polynomial identities, indices, and duality for the \(N=1\) superconformal model \(SM(2,4\nu)\). Zbl 1081.82537
Berkovich, Alexander; McCoy, Barry M.; Orrick, William P.
16
1996
Fermionic counting of RSOS states and Virasoro character formulas for the unitary minimal series \(M(\nu,\nu+1)\): Exact results. Zbl 1020.81620
Berkovich, Alexander
23
1994
Spin-anisotropy commensurable chains. Quantum group symmetries and \(N=2\) SUSY. Zbl 1007.82502
Berkovich, Alexander; Gómez, César; Sierra, Germán
4
1994
On a new class of integrable models. Zbl 0797.17024
Berkovich, Alexander; Gómez, César; Sierra, Germán
1
1992
all top 5

Cited by 297 Authors

36 Berkovich, Alexander
18 Warnaar, S. Ole
14 Guo, Victor J. W.
12 Uncu, Ali Kemal
12 Zeng, Jiang
11 Lovejoy, Jeremy
8 Garvan, Frank G.
8 Mathieu, Pierre
8 Sills, Andrew V.
7 Alladi, Krishnaswami
7 Jennings-Shaffer, Chris
7 Kim, Byungchan
6 Andrews, George Eyre
6 Bringmann, Kathrin
6 Foda, Omar
6 McCoy, Barry M.
6 Mc Laughlin, James G.
5 Chu, Wenchang
5 Mao, Renrong
5 Yesilyurt, Hamza
5 Zhang, Zhizheng
5 Zimmer, Peter
4 Chan, Song Heng
4 Chen, William Yong-Chuan
4 Jacob, Patrick
4 Ji, Kathy Qing
4 Ma, Xinrong
4 Ono, Ken
4 Oruç, Halil
4 Osburn, Robert
4 Patane, Frank
4 Schilling, Anne
4 Welsh, Trevor A.
4 Ye, Dongxi
4 Yee, Ae Ja
3 Baruah, Nayandeep Deka
3 Chan, Heng Huat
3 Corteel, Sylvie
3 Dousse, Jehanne
3 Feĭgin, Boris L’vovich
3 Fu, Shishuo
3 Hirschhorn, Michael D.
3 Huh, Jisun
3 Kurşungöz, Kağan
3 Mallet, Olivier
3 Pak, Igor
3 Pearce, Paul A.
3 Schlosser, Michael J.
3 Sellers, James Allen
3 Tang, Dazhao
2 Aygin, Zafer Selçuk
2 Bhatnagar, Gaurav
2 Blondeau-Fournier, Olivier
2 Boulet, Cilanne E.
2 Bouwknegt, Peter G.
2 Chern, Shane
2 Chim, Leung
2 Cho, Hyunsoo
2 Coskun, Hasan
2 Cui, Su-Ping
2 El Deeb, Omar
2 Grizzell, Keith
2 Han, Guo-Niu
2 Huang, Junli
2 Jagy, William C.
2 Jouhet, Frédéric
2 Kanade, Shashank
2 Kanovich, Max Iosifovich
2 Konan, Isaac
2 Kuniba, Atsuo
2 Mahlburg, Karl
2 Merca, Mircea
2 Mukhin, Evgeny
2 Nath, Kallol
2 Nath, Rishi
2 Oh, Byeong-Kweon
2 Okado, Masato
2 Pan, Hao
2 Primc, Mirko
2 Ratsaby, Joel
2 Ridout, David
2 Riese, Axel
2 Rowell, Michael Jason
2 Russell, Matthew C.
2 Savage, Carla D.
2 Toh, Pee Choon
2 Wang, Chenying
2 Xiong, Xinhua
2 Zhang, Wenlong
1 Ablinger, Jakob
1 Ahmad Ali, Syed
1 Akmaz, Hakan K.
1 Alaca, Ayşe
1 Alaca, Şaban
1 Anglès d’Auriac, Jean-Christian
1 Ardonne, Eddy
1 Bajnok, Zoltán
1 Ballantine, Cristina M.
1 Barnabei, Marilena
1 Beaujean, Frederik
...and 197 more Authors
all top 5

Cited in 77 Serials

37 The Ramanujan Journal
28 Discrete Mathematics
28 Journal of Combinatorial Theory. Series A
25 Journal of Number Theory
19 Advances in Applied Mathematics
19 International Journal of Number Theory
15 Nuclear Physics. B
14 Journal of Mathematical Analysis and Applications
13 Annals of Combinatorics
8 Advances in Mathematics
7 Transactions of the American Mathematical Society
6 Proceedings of the American Mathematical Society
5 Journal of Mathematical Physics
4 Journal of Statistical Physics
4 Letters in Mathematical Physics
4 Journal of Algebra
4 Journal of Statistical Mechanics: Theory and Experiment
3 International Journal of Modern Physics A
3 Journal of Geometry and Physics
3 Journal of Computational and Applied Mathematics
3 European Journal of Combinatorics
3 Journal of Symbolic Computation
3 Séminaire Lotharingien de Combinatoire
2 Bulletin of the Australian Mathematical Society
2 Discrete Applied Mathematics
2 Acta Arithmetica
2 Journal of Pure and Applied Algebra
2 Theoretical Computer Science
2 Applied Mathematics Letters
2 Proceedings of the National Academy of Sciences of the United States of America
2 Turkish Journal of Mathematics
2 Communications in Contemporary Mathematics
2 Journal of High Energy Physics
1 Communications in Mathematical Physics
1 Indian Journal of Pure & Applied Mathematics
1 Physica A
1 Rocky Mountain Journal of Mathematics
1 Theoretical and Mathematical Physics
1 Ukrainian Mathematical Journal
1 Annales de l’Institut Fourier
1 Applied Mathematics and Computation
1 Duke Mathematical Journal
1 Glasgow Mathematical Journal
1 Inventiones Mathematicae
1 Journal of Approximation Theory
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Statistical Planning and Inference
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Quaestiones Mathematicae
1 Constructive Approximation
1 Journal of the American Mathematical Society
1 Mathematical and Computer Modelling
1 Aequationes Mathematicae
1 Indagationes Mathematicae. New Series
1 Experimental Mathematics
1 Journal of Algebraic Combinatorics
1 Journal de Théorie des Nombres de Bordeaux
1 Journal of Applied Analysis
1 Communications of the Korean Mathematical Society
1 Annales Henri Poincaré
1 Integers
1 The Journal of Logic and Algebraic Programming
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Central European Journal of Mathematics
1 South East Asian Journal of Mathematics and Mathematical Sciences
1 Mediterranean Journal of Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Journal of Physics A: Mathematical and Theoretical
1 Asian-European Journal of Mathematics
1 Ars Mathematica Contemporanea
1 Afrika Matematika
1 Mathematics
1 Research in the Mathematical Sciences
1 Research in Number Theory

Citations by Year