# zbMATH — the first resource for mathematics

## Guo, Victor J. W.

Compute Distance To:
 Author ID: guo.victor-j-w Published as: Guo, Victor J. W. External Links: ORCID · dblp
 Documents Indexed: 111 Publications since 2001 Reviewing Activity: 13 Reviews
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#### Co-Authors

 40 single-authored 29 Zeng, Jiang 7 Schlosser, Michael J. 5 Liu, Jicai 5 Zudilin, Wadim 4 Wang, Su-Dan 3 Gu, Chengyang 2 Guo, Song 2 Ishikawa, Masao 2 Jouhet, Frédéric 2 Tagawa, Hiroyuki 2 Zhang, Cai 1 Chen, Qi-Fei 1 Chen, William Yong-Chuan 1 Gao, Feng 1 Guo, Hong-Fang 1 Han, Fei 1 Jiang, Qiang-Qiang 1 Krattenthaler, Christian Friedrich 1 Lian, Xiuguo 1 Lin, Ying-Jie 1 Liu, Yan 1 Ni, He-Xia 1 Pan, Hao 1 Rubey, Martin 1 Wang, Xiaoxin 1 Wang, Yazhen 1 Yang, Dan-Mei 1 Yang, Yiting 1 Zhang, Jing 1 Zhang, Yong
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#### Serials

 12 Journal of Mathematical Analysis and Applications 9 International Journal of Number Theory 8 Discrete Mathematics 8 Journal of Number Theory 8 The Electronic Journal of Combinatorics 7 Integral Transforms and Special Functions 7 Journal of Difference Equations and Applications 6 Advances in Applied Mathematics 5 Results in Mathematics 5 The Ramanujan Journal 4 Journal of Combinatorial Theory. Series A 4 European Journal of Combinatorics 3 Acta Arithmetica 3 Ars Combinatoria 2 Bulletin of the Australian Mathematical Society 2 Czechoslovak Mathematical Journal 2 Constructive Approximation 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Discrete Applied Mathematics 1 Israel Journal of Mathematics 1 Advances in Mathematics 1 Journal of Computational and Applied Mathematics 1 Proceedings of the American Mathematical Society 1 Designs, Codes and Cryptography 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Algebraic Combinatorics 1 Taiwanese Journal of Mathematics 1 Integers 1 Applicable Analysis and Discrete Mathematics 1 Symmetry 1 Electronic Research Archive
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#### Fields

 78 Combinatorics (05-XX) 78 Number theory (11-XX) 45 Special functions (33-XX) 2 Numerical analysis (65-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

85 Publications have been cited 690 times in 269 Documents Cited by Year
A $$q$$-microscope for supercongruences. Zbl 07035902
Guo, Victor J. W.; Zudilin, Wadim
2019
A $$q$$-analogue of a Ramanujan-type supercongruence involving central binomial coefficients. Zbl 1373.05025
Guo, Victor J. W.
2018
$$q$$-analogues of two Ramanujan-type formulas for $$1/\pi$$. Zbl 1444.11036
Guo, Victor J. W.; Liu, Ji-Cai
2018
Factors of alternating sums of products of binomial and $$q$$-binomial coefficients. Zbl 1116.05004
Guo, Victor J. W.; Jouhet, Frédéric; Zeng, Jiang
2007
Common $$q$$-analogues of some different supercongruences. Zbl 1414.33016
Guo, Victor J. W.
2019
Some $$q$$-supercongruences for truncated basic hypergeometric series. Zbl 1338.11024
Guo, Victor J. W.; Zeng, Jiang
2015
Some $$q$$-analogues of supercongruences of Rodriguez-Villegas. Zbl 1315.11015
Guo, Victor J. W.; Zeng, Jiang
2014
Some new $$q$$-congruences for truncated basic hypergeometric series: even powers. Zbl 1442.33007
Guo, Victor J. W.; Schlosser, Michael J.
2020
Some new $$q$$-congruences for truncated basic hypergeometric series. Zbl 1416.11010
Guo, Victor J. W.; Schlosser, Michael J.
2019
Two truncated identities of Gauss. Zbl 1259.05020
Guo, Victor J. W.; Zeng, Jiang
2013
Proof of some conjectures of Z.-W. Sun on congruences for Apéry polynomials. Zbl 1300.11005
Guo, Victor J. W.; Zeng, Jiang
2012
Some congruences involving central $$q$$-binomial coefficients. Zbl 1231.11020
Guo, Victor J. W.; Zeng, Jiang
2010
Some generalizations of a supercongruence of van Hamme. Zbl 1379.33013
Guo, Victor J. W.
2017
Factors of binomial sums from the Catalan triangle. Zbl 1185.05006
Guo, Victor J. W.; Zeng, Jiang
2010
Some arithmetic properties of the $$q$$-Euler numbers and $$q$$-Salié numbers. Zbl 1111.05009
Guo, Victor J. W.; Zeng, Jiang
2006
The Rodriguez-Villegas type congruences for truncated $$q$$-hypergeometric functions. Zbl 1387.11018
Guo, Victor J. W.; Pan, Hao; Zhang, Yong
2017
Some divisibility properties of binomial and $$q$$-binomial coefficients. Zbl 1385.11010
Guo, Victor J. W.; Krattenthaler, C.
2014
The Eulerian distribution on involutions is indeed unimodal. Zbl 1097.11011
Guo, Victor J. W.; Zeng, Jiang
2006
Proof of a basic hypergeometric supercongruence modulo the fifth power of a cyclotomic polynomial. Zbl 1426.33048
Guo, Victor J. W.; Schlosser, Michael J.
2019
Some congruences involving fourth powers of central $$q$$-binomial coefficients. Zbl 07193427
Guo, Victor J. W.; Wang, Su-Dan
2020
Proof of a generalization of the (B.2) supercongruence of Van Hamme through a $$q$$-microscope. Zbl 07175435
Guo, Victor J. W.
2020
Some congruences related to a congruence of Van Hamme. Zbl 1434.11054
Guo, Victor J. W.; Liu, Ji-Cai
2020
Proof of a $$q$$-congruence conjectured by Tauraso. Zbl 07024195
Guo, Victor J. W.
2019
A $$q$$-analogue of the (I.2) supercongruence of Van Hamme. Zbl 07024194
Guo, Victor J. W.
2019
Factors of some truncated basic hypergeometric series. Zbl 1448.33016
Guo, Victor J. W.
2019
On a $$q$$-deformation of modular forms. Zbl 1445.11014
Guo, Victor J. W.; Zudilin, Wadim
2019
New congruences for sums involving Apéry numbers or central Delannoy numbers. Zbl 1268.11028
Guo, Victor J. W.; Zeng, Jiang
2012
$$q$$-analogues of Dwork-type supercongruences. Zbl 1439.11011
Guo, Victor J. W.
2020
A $$q$$-analogue of the (J.2) supercongruence of van Hamme. Zbl 1390.05028
Guo, Victor J. W.
2018
A common $$q$$-analogue of two supercongruences. Zbl 1439.33007
Guo, Victor J. W.; Zudilin, Wadim
2020
A $$q$$-analogue of the (L.2) supercongruence of van Hamme. Zbl 1405.33021
Guo, Victor J. W.
2018
Ramanujan-type formulae for $$1/\pi: q$$-analogues. Zbl 1436.11024
Guo, Victor J. W.; Zudilin, Wadim
2018
Proof of Sun’s conjectures on integer-valued polynomials. Zbl 1383.11030
Guo, Victor J. W.
2016
Proof of two conjectures of Sun on congruences for Franel numbers. Zbl 1360.11006
Guo, Victor J. W.
2013
A $$q$$-analogue of Faulhaber’s formula for sums of powers. Zbl 1082.05012
Guo, Victor J. W.; Zeng, Jiang
2005
$$q$$-analogues of the (E.2) and (F.2) supercongruences of van Hamme. Zbl 07096579
Guo, Victor J. W.
2019
A $$q$$-analogue of a curious supercongruence of guillera and zudilin. Zbl 1411.11021
Guo, Victor J. W.
2019
Elementary proofs of some $$q$$-identities of Jackson and Andrews–Jain. Zbl 1080.33015
Guo, Victor J. W.
2005
$$q$$-analogues of three Ramanujan-type formulas for $$1/\pi$$. Zbl 07189548
Guo, Victor J. W.
2020
Factors of sums and alternating sums of products of $$q$$-binomial coefficients and powers of $$q$$-integers. Zbl 1405.05017
Guo, Victor J. W.; Wang, Su-Dan
2019
Some further $$q$$-series identities related to divisor functions. Zbl 1222.11029
Guo, Victor J. W.; Zhang, Cai
2011
A generalization of the Ramanujan polynomials and plane trees. Zbl 1126.05014
Guo, Victor J. W.; Zeng, Jiang
2007
$$q$$-supercongruences modulo the fourth power of a cyclotomic polynomial via creative microscoping. Zbl 07242724
Guo, Victor J. W.
2020
Proof of some $$q$$-supercongruences modulo the fourth power of a cyclotomic polynomial. Zbl 07207746
Guo, Victor J. W.
2020
A $$q$$-analogue of the (A.2) supercongruence of Van Hamme for primes $$p\equiv 1\pmod{4}$$. Zbl 1439.33006
Guo, Victor J. W.
2020
Some $$q$$-congruences with parameters. Zbl 07118304
Guo, Victor J. W.
2019
Some congruences involving powers of Legendre polynomials. Zbl 1360.11007
Guo, Victor J. W.
2015
Bijections behind the Ramanujan polynomials. Zbl 1074.05006
Chen, William Y. C.; Guo, Victor J. W.
2001
Proof of some conjectures of Z.-W. Sun on the divisibility of certain double sums. Zbl 1346.11016
Guo, Victor J. W.; Liu, Ji-Cai
2016
Proof of a supercongruence conjectured by Z.-H. Sun. Zbl 1379.11003
Guo, Victor J. W.
2014
Proof of Sun’s conjecture on the divisibility of certain binomial sums. Zbl 1295.11021
Guo, Victor J. W.
2013
New finite Rogers-Ramanujan identities. Zbl 1191.11030
Guo, Victor J. W.; Jouhet, Frédéric; Zeng, Jiang
2009
Multiple extensions of a finite Euler’s pentagonal number theorem and the Lucas formulas. Zbl 1156.05003
Guo, Victor J. W.; Zeng, Jiang
2008
Short proofs of summation and transformation formulas for basic hypergeometric series. Zbl 1106.33017
Guo, Victor J. W.; Zeng, Jiang
2007
Combinatorial interpretations of the $$q$$-Faulhaber and $$q$$-Salié coefficients. Zbl 1107.05010
Guo, Victor J. W.; Rubey, Martin; Zeng, Jiang
2006
A combinatorial proof of a symmetric $$q$$-Pfaff-Saalschütz identity. Zbl 1060.05011
Guo, Victor J. W.; Zeng, Jiang
2005
A simple proof of Dixon’s identity. Zbl 1022.05006
Guo, Victor J. W.
2003
$$q$$-analogues of two “divergent” Ramanujan-type supercongruences. Zbl 1455.11036
Guo, Victor J. W.
2020
Basic and bibasic identities related to divisor functions. Zbl 1322.05025
Guo, Victor J. W.; Zeng, Jiang
2015
Some congruences related to the $$q$$-Fermat quotients. Zbl 1365.11017
Guo, Victor J. W.
2015
Proof of two divisibility properties of binomial coefficients conjectured by Z.-W. Sun. Zbl 1305.11013
Guo, Victor J. W.
2014
On Jensen’s and related combinatorial identities. Zbl 1265.05027
Guo, Victor J. W.
2011
Factors of sums and alternating sums involving binomial coefficients and powers of integers. Zbl 1235.05009
Guo, Victor J. W.; Zeng, Jiang
2011
Bijective proofs of Gould’s and Rothe’s identities. Zbl 1135.05005
Guo, Victor J. W.
2008
A short proof of the $$q$$-Dixon identity. Zbl 1066.05022
Guo, Victor J. W.; Zeng, Jiang
2005
A new family of $$q$$-supercongruences modulo the fourth power of a cyclotomic polynomial. Zbl 07271448
Guo, Victor J. W.; Schlosser, Michael J.
2020
Factors of sums involving $$q$$-binomial coefficients and powers of $$q$$-integers. Zbl 1385.05024
Guo, Victor J. W.; Wang, Su-Dan
2017
Proof of a conjecture of Z.-W. Sun on the divisibility of a triple sum. Zbl 1395.11009
Guo, Victor J. W.; Liu, Ji-Cai
2015
Proof of a conjecture of Mircea Merca. Zbl 1303.05011
Guo, Victor J. W.
2015
Combinatorial proofs of a kind of binomial and $$q$$-binomial coefficient identities. Zbl 1313.05009
Guo, Victor J. W.; Zhang, Jing
2014
A $$q$$-analogue of some binomial coefficient identities of Y. Sun. Zbl 1230.05012
Guo, Victor J. W.; Yang, Dan-Mei
2011
A new proof of a theorem of Mansour and Sun. Zbl 1155.05003
Guo, Victor J. W.
2008
Curious extensions of Ramanujan’s $$_1\psi_1$$ summation formula. Zbl 1115.33014
Guo, Victor J. W.; Schlosser, Michael J.
2007
The $$q$$-binomial theorem and two symmetric $$q$$-identities. Zbl 1023.05016
Guo, Victor J. W.
2003
Dwork-type supercongruences through a creative $$q$$-microscope. Zbl 07304668
Guo, Victor J. W.; Zudilin, Wadim
2021
A $$q$$-analogue of a hypergeometric congruence. Zbl 1440.33017
Gu, Cheng-Yang; Guo, Victor J. W.
2020
A $$q$$-Clausen-Orr type formula and its applications. Zbl 1430.11028
Guo, Hong-Fang; Guo, Victor J. W.; Zeng, Jiang
2017
A recursive algorithm for trees and forests. Zbl 1355.05083
Guo, Song; Guo, Victor J. W.
2017
A generalization of Mehta-Wang determinant and Askey-Wilson polynomials. Zbl 1294.05028
Guo, Victor J. W.; Ishikawa, Masao; Tagawa, Hiroyuki; Zeng, Jiang
2013
Bijective proofs of Gould-Mohanty’s and Raney-Mohanty’s identities. Zbl 1289.05021
Guo, Victor J. W.
2012
Pairs of lattice paths and positive trigonometric sums. Zbl 1203.42001
Guo, Victor J. W.; Zeng, Jiang
2010
On the least common multiple of $$Q$$-binomial coefficients. Zbl 1205.05008
Guo, Victor J. W.
2010
A $$q$$-analogue of Zhang’s binomial coefficient identities. Zbl 1180.05005
Guo, Victor J. W.; Lin, Ying-Jie; Liu, Yan; Zhang, Cai
2009
The number of convex polyominoes and the generating function of Jacobi polynomials. Zbl 1090.05017
Guo, Victor J. W.; Zeng, Jiang
2006
A note on two identities arising from enumeration of convex polyominoes. Zbl 1062.05018
Guo, Victor J. W.; Zeng, Jiang
2005
Dwork-type supercongruences through a creative $$q$$-microscope. Zbl 07304668
Guo, Victor J. W.; Zudilin, Wadim
2021
Some new $$q$$-congruences for truncated basic hypergeometric series: even powers. Zbl 1442.33007
Guo, Victor J. W.; Schlosser, Michael J.
2020
Some congruences involving fourth powers of central $$q$$-binomial coefficients. Zbl 07193427
Guo, Victor J. W.; Wang, Su-Dan
2020
Proof of a generalization of the (B.2) supercongruence of Van Hamme through a $$q$$-microscope. Zbl 07175435
Guo, Victor J. W.
2020
Some congruences related to a congruence of Van Hamme. Zbl 1434.11054
Guo, Victor J. W.; Liu, Ji-Cai
2020
$$q$$-analogues of Dwork-type supercongruences. Zbl 1439.11011
Guo, Victor J. W.
2020
A common $$q$$-analogue of two supercongruences. Zbl 1439.33007
Guo, Victor J. W.; Zudilin, Wadim
2020
$$q$$-analogues of three Ramanujan-type formulas for $$1/\pi$$. Zbl 07189548
Guo, Victor J. W.
2020
$$q$$-supercongruences modulo the fourth power of a cyclotomic polynomial via creative microscoping. Zbl 07242724
Guo, Victor J. W.
2020
Proof of some $$q$$-supercongruences modulo the fourth power of a cyclotomic polynomial. Zbl 07207746
Guo, Victor J. W.
2020
A $$q$$-analogue of the (A.2) supercongruence of Van Hamme for primes $$p\equiv 1\pmod{4}$$. Zbl 1439.33006
Guo, Victor J. W.
2020
$$q$$-analogues of two “divergent” Ramanujan-type supercongruences. Zbl 1455.11036
Guo, Victor J. W.
2020
A new family of $$q$$-supercongruences modulo the fourth power of a cyclotomic polynomial. Zbl 07271448
Guo, Victor J. W.; Schlosser, Michael J.
2020
A $$q$$-analogue of a hypergeometric congruence. Zbl 1440.33017
Gu, Cheng-Yang; Guo, Victor J. W.
2020
A $$q$$-microscope for supercongruences. Zbl 07035902
Guo, Victor J. W.; Zudilin, Wadim
2019
Common $$q$$-analogues of some different supercongruences. Zbl 1414.33016
Guo, Victor J. W.
2019
Some new $$q$$-congruences for truncated basic hypergeometric series. Zbl 1416.11010
Guo, Victor J. W.; Schlosser, Michael J.
2019
Proof of a basic hypergeometric supercongruence modulo the fifth power of a cyclotomic polynomial. Zbl 1426.33048
Guo, Victor J. W.; Schlosser, Michael J.
2019
Proof of a $$q$$-congruence conjectured by Tauraso. Zbl 07024195
Guo, Victor J. W.
2019
A $$q$$-analogue of the (I.2) supercongruence of Van Hamme. Zbl 07024194
Guo, Victor J. W.
2019
Factors of some truncated basic hypergeometric series. Zbl 1448.33016
Guo, Victor J. W.
2019
On a $$q$$-deformation of modular forms. Zbl 1445.11014
Guo, Victor J. W.; Zudilin, Wadim
2019
$$q$$-analogues of the (E.2) and (F.2) supercongruences of van Hamme. Zbl 07096579
Guo, Victor J. W.
2019
A $$q$$-analogue of a curious supercongruence of guillera and zudilin. Zbl 1411.11021
Guo, Victor J. W.
2019
Factors of sums and alternating sums of products of $$q$$-binomial coefficients and powers of $$q$$-integers. Zbl 1405.05017
Guo, Victor J. W.; Wang, Su-Dan
2019
Some $$q$$-congruences with parameters. Zbl 07118304
Guo, Victor J. W.
2019
A $$q$$-analogue of a Ramanujan-type supercongruence involving central binomial coefficients. Zbl 1373.05025
Guo, Victor J. W.
2018
$$q$$-analogues of two Ramanujan-type formulas for $$1/\pi$$. Zbl 1444.11036
Guo, Victor J. W.; Liu, Ji-Cai
2018
A $$q$$-analogue of the (J.2) supercongruence of van Hamme. Zbl 1390.05028
Guo, Victor J. W.
2018
A $$q$$-analogue of the (L.2) supercongruence of van Hamme. Zbl 1405.33021
Guo, Victor J. W.
2018
Ramanujan-type formulae for $$1/\pi: q$$-analogues. Zbl 1436.11024
Guo, Victor J. W.; Zudilin, Wadim
2018
Some generalizations of a supercongruence of van Hamme. Zbl 1379.33013
Guo, Victor J. W.
2017
The Rodriguez-Villegas type congruences for truncated $$q$$-hypergeometric functions. Zbl 1387.11018
Guo, Victor J. W.; Pan, Hao; Zhang, Yong
2017
Factors of sums involving $$q$$-binomial coefficients and powers of $$q$$-integers. Zbl 1385.05024
Guo, Victor J. W.; Wang, Su-Dan
2017
A $$q$$-Clausen-Orr type formula and its applications. Zbl 1430.11028
Guo, Hong-Fang; Guo, Victor J. W.; Zeng, Jiang
2017
A recursive algorithm for trees and forests. Zbl 1355.05083
Guo, Song; Guo, Victor J. W.
2017
Proof of Sun’s conjectures on integer-valued polynomials. Zbl 1383.11030
Guo, Victor J. W.
2016
Proof of some conjectures of Z.-W. Sun on the divisibility of certain double sums. Zbl 1346.11016
Guo, Victor J. W.; Liu, Ji-Cai
2016
Some $$q$$-supercongruences for truncated basic hypergeometric series. Zbl 1338.11024
Guo, Victor J. W.; Zeng, Jiang
2015
Some congruences involving powers of Legendre polynomials. Zbl 1360.11007
Guo, Victor J. W.
2015
Basic and bibasic identities related to divisor functions. Zbl 1322.05025
Guo, Victor J. W.; Zeng, Jiang
2015
Some congruences related to the $$q$$-Fermat quotients. Zbl 1365.11017
Guo, Victor J. W.
2015
Proof of a conjecture of Z.-W. Sun on the divisibility of a triple sum. Zbl 1395.11009
Guo, Victor J. W.; Liu, Ji-Cai
2015
Proof of a conjecture of Mircea Merca. Zbl 1303.05011
Guo, Victor J. W.
2015
Some $$q$$-analogues of supercongruences of Rodriguez-Villegas. Zbl 1315.11015
Guo, Victor J. W.; Zeng, Jiang
2014
Some divisibility properties of binomial and $$q$$-binomial coefficients. Zbl 1385.11010
Guo, Victor J. W.; Krattenthaler, C.
2014
Proof of a supercongruence conjectured by Z.-H. Sun. Zbl 1379.11003
Guo, Victor J. W.
2014
Proof of two divisibility properties of binomial coefficients conjectured by Z.-W. Sun. Zbl 1305.11013
Guo, Victor J. W.
2014
Combinatorial proofs of a kind of binomial and $$q$$-binomial coefficient identities. Zbl 1313.05009
Guo, Victor J. W.; Zhang, Jing
2014
Two truncated identities of Gauss. Zbl 1259.05020
Guo, Victor J. W.; Zeng, Jiang
2013
Proof of two conjectures of Sun on congruences for Franel numbers. Zbl 1360.11006
Guo, Victor J. W.
2013
Proof of Sun’s conjecture on the divisibility of certain binomial sums. Zbl 1295.11021
Guo, Victor J. W.
2013
A generalization of Mehta-Wang determinant and Askey-Wilson polynomials. Zbl 1294.05028
Guo, Victor J. W.; Ishikawa, Masao; Tagawa, Hiroyuki; Zeng, Jiang
2013
Proof of some conjectures of Z.-W. Sun on congruences for Apéry polynomials. Zbl 1300.11005
Guo, Victor J. W.; Zeng, Jiang
2012
New congruences for sums involving Apéry numbers or central Delannoy numbers. Zbl 1268.11028
Guo, Victor J. W.; Zeng, Jiang
2012
Bijective proofs of Gould-Mohanty’s and Raney-Mohanty’s identities. Zbl 1289.05021
Guo, Victor J. W.
2012
Some further $$q$$-series identities related to divisor functions. Zbl 1222.11029
Guo, Victor J. W.; Zhang, Cai
2011
On Jensen’s and related combinatorial identities. Zbl 1265.05027
Guo, Victor J. W.
2011
Factors of sums and alternating sums involving binomial coefficients and powers of integers. Zbl 1235.05009
Guo, Victor J. W.; Zeng, Jiang
2011
A $$q$$-analogue of some binomial coefficient identities of Y. Sun. Zbl 1230.05012
Guo, Victor J. W.; Yang, Dan-Mei
2011
Some congruences involving central $$q$$-binomial coefficients. Zbl 1231.11020
Guo, Victor J. W.; Zeng, Jiang
2010
Factors of binomial sums from the Catalan triangle. Zbl 1185.05006
Guo, Victor J. W.; Zeng, Jiang
2010
Pairs of lattice paths and positive trigonometric sums. Zbl 1203.42001
Guo, Victor J. W.; Zeng, Jiang
2010
On the least common multiple of $$Q$$-binomial coefficients. Zbl 1205.05008
Guo, Victor J. W.
2010
New finite Rogers-Ramanujan identities. Zbl 1191.11030
Guo, Victor J. W.; Jouhet, Frédéric; Zeng, Jiang
2009
A $$q$$-analogue of Zhang’s binomial coefficient identities. Zbl 1180.05005
Guo, Victor J. W.; Lin, Ying-Jie; Liu, Yan; Zhang, Cai
2009
Multiple extensions of a finite Euler’s pentagonal number theorem and the Lucas formulas. Zbl 1156.05003
Guo, Victor J. W.; Zeng, Jiang
2008
Bijective proofs of Gould’s and Rothe’s identities. Zbl 1135.05005
Guo, Victor J. W.
2008
A new proof of a theorem of Mansour and Sun. Zbl 1155.05003
Guo, Victor J. W.
2008
Factors of alternating sums of products of binomial and $$q$$-binomial coefficients. Zbl 1116.05004
Guo, Victor J. W.; Jouhet, Frédéric; Zeng, Jiang
2007
A generalization of the Ramanujan polynomials and plane trees. Zbl 1126.05014
Guo, Victor J. W.; Zeng, Jiang
2007
Short proofs of summation and transformation formulas for basic hypergeometric series. Zbl 1106.33017
Guo, Victor J. W.; Zeng, Jiang
2007
Curious extensions of Ramanujan’s $$_1\psi_1$$ summation formula. Zbl 1115.33014
Guo, Victor J. W.; Schlosser, Michael J.
2007
Some arithmetic properties of the $$q$$-Euler numbers and $$q$$-Salié numbers. Zbl 1111.05009
Guo, Victor J. W.; Zeng, Jiang
2006
The Eulerian distribution on involutions is indeed unimodal. Zbl 1097.11011
Guo, Victor J. W.; Zeng, Jiang
2006
Combinatorial interpretations of the $$q$$-Faulhaber and $$q$$-Salié coefficients. Zbl 1107.05010
Guo, Victor J. W.; Rubey, Martin; Zeng, Jiang
2006
The number of convex polyominoes and the generating function of Jacobi polynomials. Zbl 1090.05017
Guo, Victor J. W.; Zeng, Jiang
2006
A $$q$$-analogue of Faulhaber’s formula for sums of powers. Zbl 1082.05012
Guo, Victor J. W.; Zeng, Jiang
2005
Elementary proofs of some $$q$$-identities of Jackson and Andrews–Jain. Zbl 1080.33015
Guo, Victor J. W.
2005
A combinatorial proof of a symmetric $$q$$-Pfaff-Saalschütz identity. Zbl 1060.05011
Guo, Victor J. W.; Zeng, Jiang
2005
A short proof of the $$q$$-Dixon identity. Zbl 1066.05022
Guo, Victor J. W.; Zeng, Jiang
2005
A note on two identities arising from enumeration of convex polyominoes. Zbl 1062.05018
Guo, Victor J. W.; Zeng, Jiang
2005
A simple proof of Dixon’s identity. Zbl 1022.05006
Guo, Victor J. W.
2003
The $$q$$-binomial theorem and two symmetric $$q$$-identities. Zbl 1023.05016
Guo, Victor J. W.
2003
Bijections behind the Ramanujan polynomials. Zbl 1074.05006
Chen, William Y. C.; Guo, Victor J. W.
2001
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#### Cited by 185 Authors

 77 Guo, Victor J. W. 26 Liu, Jicai 22 Zeng, Jiang 12 Pan, Hao 12 Sun, Zhi-Wei 10 Merca, Mircea 8 Mao, Guo-Shuai 7 He, Bing 7 Schlosser, Michael J. 6 Hou, Qinghu 6 Wang, Chen 6 Wang, Su-Dan 6 Zudilin, Wadim 5 Chu, Wenchang 5 Jouhet, Frédéric 5 Sun, Brian Yi 5 Yee, Ae Ja 4 Chen, William Yong-Chuan 4 Ni, He-Xia 4 Wang, Xiaoxia 3 Ballantine, Cristina M. 3 Kalita, Gautam 3 Li, Long 3 Lin, Zhicong 3 Ma, Shi-Mei 3 Mao, Renrong 3 Tauraso, Roberto 3 Wang, Chun 3 Yue, Mingbing 2 Adell, José Antonio 2 Barnabei, Marilena 2 Bonetti, Flavio 2 Cao, Huiqin 2 Chern, Shane 2 Dixit, Atul 2 Dousse, Jehanne 2 El Bachraoui, Mohamed 2 Eu, Sen-Peng 2 Fu, Amy M. 2 Fu, Tung-Shan 2 Gu, Chengyang 2 Guillera, Jesús 2 Guo, Song 2 Jana, Arijit 2 Koparal, Sibel 2 Krattenthaler, Christian Friedrich 2 Lekuona, Alberto 2 Ma, Jun 2 Maji, Bibekananda 2 Martinjak, Ivica 2 Miana, Pedro J. 2 Mu, Yanping 2 Ohtsuka, Hideyuki 2 Romero, Natalia 2 Silimbani, Matteo 2 Sun, Yidong 2 Sun, Zhi-Wei 2 Sun, Zhihong 2 Wei, Chuanan 2 Yang, Arthur L. B. 2 Yeh, Yeong-Nan 2 Zhang, Iris F. 2 Zhang, Yong 1 Abdesselam, Abdelmalek 1 Adamczewski, Boris 1 Alzer, Horst 1 Amdeberhan, Tewodros 1 Andrews, George Eyre 1 Apagodu, Moa 1 Athanasiadis, Christos A. 1 Banderier, Cyril 1 Bell, Jason P. 1 Bousla, Sid Ali 1 Brändén, Petter 1 Brualdi, Richard Anthony 1 Cai, Fangfang 1 Callan, David 1 Cao, Jian 1 Cao, Zhi-Jian 1 Cen, Zhongdi 1 Chan, Song Heng 1 Chapoton, Frédéric 1 Chen, Qi-Fei 1 Chen, Sandy H. L. 1 Chen, Shaoshi 1 Chetry, Arjun Singh 1 Delaygue, Éric 1 Elizalde, Sergi 1 Erdoğan, Altan 1 Ernst, Thomas 1 Eyyunni, Pramod 1 Farhi, Bakir 1 Fedkiw, Ronald P. 1 Feng, Hong 1 Fu, Shishuo 1 Gao, Feng 1 Gessel, Ira Martin 1 Glunčić, Matko 1 Gong, Dianxuan 1 Gorodetsky, Ofir ...and 85 more Authors
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#### Cited in 63 Serials

 25 International Journal of Number Theory 21 Journal of Number Theory 21 The Ramanujan Journal 20 Journal of Mathematical Analysis and Applications 18 Discrete Mathematics 13 Advances in Applied Mathematics 12 Journal of Combinatorial Theory. Series A 12 European Journal of Combinatorics 11 Journal of Difference Equations and Applications 8 Bulletin of the Australian Mathematical Society 8 Results in Mathematics 8 Integral Transforms and Special Functions 5 Acta Arithmetica 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Advances in Mathematics 4 Proceedings of the American Mathematical Society 4 Electronic Research Archive 3 Colloquium Mathematicum 3 Quaestiones Mathematicae 3 Séminaire Lotharingien de Combinatoire 3 Journal of Inequalities and Applications 3 Annals of Combinatorics 3 Journal of Integer Sequences 3 Integers 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Discrete Applied Mathematics 2 Periodica Mathematica Hungarica 2 Rocky Mountain Journal of Mathematics 2 Journal of Symbolic Computation 2 Constructive Approximation 2 Turkish Journal of Mathematics 2 The Electronic Journal of Combinatorics 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Computational Physics 1 Ukrainian Mathematical Journal 1 Czechoslovak Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Monatshefte für Mathematik 1 Rendiconti del Seminario Matematico della Università di Padova 1 Bulletin of the Korean Mathematical Society 1 Statistics & Probability Letters 1 Graphs and Combinatorics 1 Journal of the Ramanujan Mathematical Society 1 Economics Letters 1 Aequationes Mathematicae 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Algebraic Combinatorics 1 Finite Fields and their Applications 1 Taiwanese Journal of Mathematics 1 Journal of Combinatorial Optimization 1 Analysis (München) 1 Algebraic & Geometric Topology 1 Journal of the Australian Mathematical Society 1 JP Journal of Algebra, Number Theory and Applications 1 Advances in Difference Equations 1 Contributions to Discrete Mathematics 1 Symmetry 1 Arabian Journal of Mathematics 1 Axioms 1 Research in the Mathematical Sciences
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#### Cited in 22 Fields

 213 Number theory (11-XX) 190 Combinatorics (05-XX) 88 Special functions (33-XX) 4 Computer science (68-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Group theory and generalizations (20-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Difference and functional equations (39-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)