## 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: 129 Publications since 2001 Reviewing Activity: 13 Reviews Co-Authors: 30 Co-Authors with 78 Joint Publications 982 Co-Co-Authors
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### Co-Authors

 48 single-authored 29 Zeng, Jiang 9 Schlosser, Michael J. 5 Liu, Jicai 5 Wang, Su-Dan 5 Zudilin, Wadim 4 Gu, Chengyang 3 Guo, Song 3 Lian, Xiuguo 2 Ishikawa, Masao 2 Jouhet, Frédéric 2 Pan, Hao 2 Tagawa, Hiroyuki 2 Zhang, Cai 1 Chen, Qi-Fei 1 Chen, William Yong-Chuan 1 Fang, Jianping 1 Guo, Hong-Fang 1 Jiang, Qiang-Qiang 1 Krattenthaler, Christian Friedrich 1 Lin, Ying-Jie 1 Liu, Yan 1 Mao, Guo-Shuai 1 Ni, He-Xia 1 Rubey, Martin 1 Wang, Xiaoxin 1 Wang, Yazhen 1 Wei, Chuanan 1 Yang, Dan-Mei 1 Yang, Yiting 1 Zhang, Yong
all top 5

### Serials

 13 Journal of Mathematical Analysis and Applications 11 Journal of Difference Equations and Applications 10 International Journal of Number Theory 8 Discrete Mathematics 8 Journal of Number Theory 8 Results in Mathematics 8 The Electronic Journal of Combinatorics 7 Integral Transforms and Special Functions 6 Advances in Applied Mathematics 6 The Ramanujan Journal 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Journal of Combinatorial Theory. Series A 4 European Journal of Combinatorics 3 Bulletin of the Australian Mathematical Society 3 Acta Arithmetica 3 Ars Combinatoria 3 Czechoslovak Mathematical Journal 2 Constructive Approximation 2 Journal of Algebraic Combinatorics 1 Discrete Applied Mathematics 1 Israel Journal of Mathematics 1 Periodica Mathematica Hungarica 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 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Taiwanese Journal of Mathematics 1 Integers 1 Applicable Analysis and Discrete Mathematics 1 Symmetry 1 Electronic Research Archive
all top 5

### Fields

 96 Number theory (11-XX) 84 Combinatorics (05-XX) 60 Special functions (33-XX) 1 Algebraic geometry (14-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 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

101 Publications have been cited 1,069 times in 352 Documents Cited by Year
A $$q$$-microscope for supercongruences. Zbl 1464.11028
Guo, Victor J. W.; Zudilin, Wadim
2019
$$q$$-analogues of two Ramanujan-type formulas for $$1/\pi$$. Zbl 1444.11036
Guo, Victor J. W.; Liu, Ji-Cai
2018
A $$q$$-analogue of a Ramanujan-type supercongruence involving central binomial coefficients. Zbl 1373.05025
Guo, Victor J. W.
2018
Some new $$q$$-congruences for truncated basic hypergeometric series: even powers. Zbl 1442.33007
Guo, Victor J. W.; Schlosser, Michael J.
2020
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 congruences involving fourth powers of central $$q$$-binomial coefficients. Zbl 1468.11067
Guo, Victor J. W.; Wang, Su-Dan
2020
A new family of $$q$$-supercongruences modulo the fourth power of a cyclotomic polynomial. Zbl 1469.11032
Guo, Victor J. W.; Schlosser, Michael J.
2020
Some $$q$$-supercongruences for truncated basic hypergeometric series. Zbl 1338.11024
Guo, Victor J. W.; Zeng, Jiang
2015
$$q$$-supercongruences modulo the fourth power of a cyclotomic polynomial via creative microscoping. Zbl 1456.11024
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 basic hypergeometric supercongruence modulo the fifth power of a cyclotomic polynomial. Zbl 1426.33048
Guo, Victor J. W.; Schlosser, Michael J.
2019
Some $$q$$-analogues of supercongruences of Rodriguez-Villegas. Zbl 1315.11015
Guo, Victor J. W.; Zeng, Jiang
2014
Some generalizations of a supercongruence of van Hamme. Zbl 1379.33013
Guo, Victor J. W.
2017
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
Some congruences involving central $$q$$-binomial coefficients. Zbl 1231.11020
Guo, Victor J. W.; Zeng, Jiang
2010
Proof of a generalization of the (B.2) supercongruence of Van Hamme through a $$q$$-microscope. Zbl 1468.11005
Guo, Victor J. W.
2020
Factors of binomial sums from the Catalan triangle. Zbl 1185.05006
Guo, Victor J. W.; Zeng, Jiang
2010
The Rodriguez-Villegas type congruences for truncated $$q$$-hypergeometric functions. Zbl 1387.11018
Guo, Victor J. W.; Pan, Hao; Zhang, Yong
2017
On a $$q$$-deformation of modular forms. Zbl 1445.11014
Guo, Victor J. W.; Zudilin, Wadim
2019
Some divisibility properties of binomial and $$q$$-binomial coefficients. Zbl 1385.11010
Guo, Victor J. W.; Krattenthaler, C.
2014
Proof of some $$q$$-supercongruences modulo the fourth power of a cyclotomic polynomial. Zbl 1458.33009
Guo, Victor J. W.
2020
Dwork-type supercongruences through a creative $$q$$-microscope. Zbl 1473.11046
Guo, Victor J. W.; Zudilin, Wadim
2021
Proof of some conjectures of Z.-W. Sun on congruences for Apéry polynomials. Zbl 1300.11005
Guo, Victor J. W.; Zeng, Jiang
2012
Some arithmetic properties of the $$q$$-Euler numbers and $$q$$-Salié numbers. Zbl 1111.05009
Guo, Victor J. W.; Zeng, Jiang
2006
$$q$$-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
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 $$q$$-supercongruences from transformation formulas for basic hypergeometric series. Zbl 1462.33006
Guo, Victor J. W.; Schlosser, Michael J.
2021
$$q$$-analogues of the (E.2) and (F.2) supercongruences of van Hamme. Zbl 1468.11065
Guo, Victor J. W.
2019
A $$q$$-analogue of the (I.2) supercongruence of Van Hamme. Zbl 1461.11037
Guo, Victor J. W.
2019
The Eulerian distribution on involutions is indeed unimodal. Zbl 1097.11011
Guo, Victor J. W.; Zeng, Jiang
2006
$$q$$-analogues of three Ramanujan-type formulas for $$1/\pi$$. Zbl 1468.11066
Guo, Victor J. W.
2020
Ramanujan-type formulae for $$1/\pi: q$$-analogues. Zbl 1436.11024
Guo, Victor J. W.; Zudilin, Wadim
2018
Proof of a $$q$$-congruence conjectured by Tauraso. Zbl 1467.11027
Guo, Victor J. W.
2019
A $$q$$-analogue of the (L.2) supercongruence of van Hamme. Zbl 1405.33021
Guo, Victor J. W.
2018
Factors of some truncated basic hypergeometric series. Zbl 1448.33016
Guo, Victor J. W.
2019
A family of $$q$$-hypergeometric congruences modulo the fourth power of a cyclotomic polynomial. Zbl 1483.11001
Guo, Victor J. W.; Schlosser, Michael J.
2020
A $$q$$-analogue of the (J.2) supercongruence of van Hamme. Zbl 1390.05028
Guo, Victor J. W.
2018
Proof of Sun’s conjectures on integer-valued polynomials. Zbl 1383.11030
Guo, Victor J. W.
2016
New congruences for sums involving Apéry numbers or central Delannoy numbers. Zbl 1268.11028
Guo, Victor J. W.; Zeng, Jiang
2012
A $$q$$-analogue of Faulhaber’s formula for sums of powers. Zbl 1082.05012
Guo, Victor J. W.; Zeng, Jiang
2005
Proof of two conjectures of Sun on congruences for Franel numbers. Zbl 1360.11006
Guo, Victor J. W.
2013
Proof of a generalization of the (C.2) supercongruence of Van Hamme. Zbl 1468.33017
Guo, Victor J. W.
2021
A further $$q$$-analogue of Van Hamme’s (H.2) supercongruence for primes $$p\equiv 3 \pmod 4$$. Zbl 1478.33009
Guo, Victor J. W.
2021
Some $$q$$-congruences with parameters. Zbl 1459.11052
Guo, Victor J. W.
2019
A generalization of the Ramanujan polynomials and plane trees. Zbl 1126.05014
Guo, Victor J. W.; Zeng, Jiang
2007
Some further $$q$$-series identities related to divisor functions. Zbl 1222.11029
Guo, Victor J. W.; Zhang, Cai
2011
Elementary proofs of some $$q$$-identities of Jackson and Andrews–Jain. Zbl 1080.33015
Guo, Victor J. W.
2005
A $$q$$-analogue of a curious supercongruence of guillera and zudilin. Zbl 1411.11021
Guo, Victor J. W.
2019
Bijections behind the Ramanujan polynomials. Zbl 1074.05006
Chen, William Y. C.; Guo, Victor J. W.
2001
$$q$$-analogues of two “divergent” Ramanujan-type supercongruences. Zbl 1455.11036
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 congruences involving powers of Legendre polynomials. Zbl 1360.11007
Guo, Victor J. W.
2015
Proof of Sun’s conjecture on the divisibility of certain binomial sums. Zbl 1295.11021
Guo, Victor J. W.
2013
Bijective proofs of Gould’s and Rothe’s identities. Zbl 1135.05005
Guo, Victor J. W.
2008
Proof of a supercongruence conjectured by Z.-H. Sun. Zbl 1379.11003
Guo, Victor J. W.
2014
Multiple extensions of a finite Euler’s pentagonal number theorem and the Lucas formulas. Zbl 1156.05003
Guo, Victor J. W.; Zeng, Jiang
2008
Combinatorial interpretations of the $$q$$-Faulhaber and $$q$$-Salié coefficients. Zbl 1107.05010
Guo, Victor J. W.; Rubey, Martin; Zeng, Jiang
2006
A simple proof of Dixon’s identity. Zbl 1022.05006
Guo, Victor J. W.
2003
Short proofs of summation and transformation formulas for basic hypergeometric series. Zbl 1106.33017
Guo, Victor J. W.; Zeng, Jiang
2007
A combinatorial proof of a symmetric $$q$$-Pfaff-Saalschütz identity. Zbl 1060.05011
Guo, Victor J. W.; Zeng, Jiang
2005
Some variations of a ‘divergent’ Ramanujan-type $$q$$-supercongruence. Zbl 1469.11031
Guo, Victor J. W.
2021
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
Basic and bibasic identities related to divisor functions. Zbl 1322.05025
Guo, Victor J. W.; Zeng, Jiang
2015
Factors of sums and alternating sums involving binomial coefficients and powers of integers. Zbl 1235.05009
Guo, Victor J. W.; Zeng, Jiang
2011
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
Some $$q$$-supercongruences modulo the square and cube of a cyclotomic polynomial. Zbl 1483.33010
Guo, Victor J. W.; Schlosser, Michael J.
2021
A new proof of a theorem of Mansour and Sun. Zbl 1155.05003
Guo, Victor J. W.
2008
A short proof of the $$q$$-Dixon identity. Zbl 1066.05022
Guo, Victor J. W.; Zeng, Jiang
2005
A $$q$$-analogue of a hypergeometric congruence. Zbl 1440.33017
Gu, Cheng-Yang; Guo, Victor J. W.
2020
A family of $$q$$-congruences modulo the square of a cyclotomic polynomial. Zbl 1461.11004
Guo, Victor J. W.
2020
$$q$$-analogues of two supercongruences of Z.-W. Sun. Zbl 07250687
Gu, Cheng-Yang; Guo, Victor J. W.
2020
New finite Rogers-Ramanujan identities. Zbl 1191.11030
Guo, Victor J. W.; Jouhet, Frédéric; Zeng, Jiang
2009
Some congruences related to the $$q$$-Fermat quotients. Zbl 1365.11017
Guo, Victor J. W.
2015
A recursive algorithm for trees and forests. Zbl 1355.05083
Guo, Song; Guo, Victor J. W.
2017
The $$q$$-binomial theorem and two symmetric $$q$$-identities. Zbl 1023.05016
Guo, Victor J. W.
2003
A $$q$$-analogue of some binomial coefficient identities of Y. Sun. Zbl 1230.05012
Guo, Victor J. W.; Yang, Dan-Mei
2011
Curious extensions of Ramanujan’s $$_1\psi_1$$ summation formula. Zbl 1115.33014
Guo, Victor J. W.; Schlosser, Michael J.
2007
A $$q$$-analogue of Zhang’s binomial coefficient identities. Zbl 1180.05005
Guo, Victor J. W.; Lin, Ying-Jie; Liu, Yan; Zhang, Cai
2009
Another family of $$q$$-congruences modulo the square of a cyclotomic polynomial. Zbl 1470.11034
Guo, Victor J. W.
2021
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
A $$q$$-Clausen-Orr type formula and its applications. Zbl 1430.11028
Guo, Hong-Fang; Guo, Victor J. W.; Zeng, Jiang
2017
Combinatorial proofs of a kind of binomial and $$q$$-binomial coefficient identities. Zbl 1313.05009
Guo, Victor J. W.; Zhang, Jing
2014
Proof of a conjecture of Mircea Merca. Zbl 1303.05011
Guo, Victor J. W.
2015
Factors of sums involving $$q$$-binomial coefficients and powers of $$q$$-integers. Zbl 1385.05024
Guo, Victor J. W.; Wang, Su-Dan
2017
A bijective proof of the Shor recurrence. Zbl 1384.05095
Guo, Victor J. W.
2018
A note on two identities arising from enumeration of convex polyominoes. Zbl 1062.05018
Guo, Victor J. W.; Zeng, Jiang
2005
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
Proof of a conjecture involving Sun polynomials. Zbl 1468.11006
Guo, Victor J. W.; Mao, Guo-Shuai; Pan, Hao
2016
On arithmetic partitions of $$\mathbb Z_n$$. Zbl 1228.05053
Guo, Victor J. W.; Zeng, Jiang
2009
Some congruences related to hypergeometric polynomials. Zbl 1362.33006
Guo, Song; Guo, Victor J. W.
2017
Factors of alternating sums of powers of $$q$$-Narayana numbers. Zbl 1428.11008
Guo, Victor J. W.; Jiang, Qiang-Qiang
2017
A quadratic formula for basic hypergeometric series related to Askey-Wilson polynomials. Zbl 1312.33051
Guo, Victor J. W.; Ishikawa, Masao; Tagawa, Hiroyuki; Zeng, Jiang
2015
Contiguous relations and summation and transformation formulae for basic hypergeometric series. Zbl 1280.33015
Gao, Feng; 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
The number of convex polyominoes and the generating function of Jacobi polynomials. Zbl 1090.05017
Guo, Victor J. W.; Zeng, Jiang
2006
Dwork-type supercongruences through a creative $$q$$-microscope. Zbl 1473.11046
Guo, Victor J. W.; Zudilin, Wadim
2021
Some $$q$$-supercongruences from transformation formulas for basic hypergeometric series. Zbl 1462.33006
Guo, Victor J. W.; Schlosser, Michael J.
2021
Proof of a generalization of the (C.2) supercongruence of Van Hamme. Zbl 1468.33017
Guo, Victor J. W.
2021
A further $$q$$-analogue of Van Hamme’s (H.2) supercongruence for primes $$p\equiv 3 \pmod 4$$. Zbl 1478.33009
Guo, Victor J. W.
2021
Some variations of a ‘divergent’ Ramanujan-type $$q$$-supercongruence. Zbl 1469.11031
Guo, Victor J. W.
2021
Some $$q$$-supercongruences modulo the square and cube of a cyclotomic polynomial. Zbl 1483.33010
Guo, Victor J. W.; Schlosser, Michael J.
2021
Another family of $$q$$-congruences modulo the square of a cyclotomic polynomial. Zbl 1470.11034
Guo, Victor J. W.
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 1468.11067
Guo, Victor J. W.; Wang, Su-Dan
2020
A new family of $$q$$-supercongruences modulo the fourth power of a cyclotomic polynomial. Zbl 1469.11032
Guo, Victor J. W.; Schlosser, Michael J.
2020
$$q$$-supercongruences modulo the fourth power of a cyclotomic polynomial via creative microscoping. Zbl 1456.11024
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 generalization of the (B.2) supercongruence of Van Hamme through a $$q$$-microscope. Zbl 1468.11005
Guo, Victor J. W.
2020
Proof of some $$q$$-supercongruences modulo the fourth power of a cyclotomic polynomial. Zbl 1458.33009
Guo, Victor J. W.
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
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 three Ramanujan-type formulas for $$1/\pi$$. Zbl 1468.11066
Guo, Victor J. W.
2020
A family of $$q$$-hypergeometric congruences modulo the fourth power of a cyclotomic polynomial. Zbl 1483.11001
Guo, Victor J. W.; Schlosser, Michael J.
2020
$$q$$-analogues of two “divergent” Ramanujan-type supercongruences. Zbl 1455.11036
Guo, Victor J. W.
2020
A $$q$$-analogue of a hypergeometric congruence. Zbl 1440.33017
Gu, Cheng-Yang; Guo, Victor J. W.
2020
A family of $$q$$-congruences modulo the square of a cyclotomic polynomial. Zbl 1461.11004
Guo, Victor J. W.
2020
$$q$$-analogues of two supercongruences of Z.-W. Sun. Zbl 07250687
Gu, Cheng-Yang; Guo, Victor J. W.
2020
A $$q$$-microscope for supercongruences. Zbl 1464.11028
Guo, Victor J. W.; Zudilin, Wadim
2019
Common $$q$$-analogues of some different supercongruences. Zbl 1414.33016
Guo, Victor J. W.
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
Some new $$q$$-congruences for truncated basic hypergeometric series. Zbl 1416.11010
Guo, Victor J. W.; Schlosser, Michael J.
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 1468.11065
Guo, Victor J. W.
2019
A $$q$$-analogue of the (I.2) supercongruence of Van Hamme. Zbl 1461.11037
Guo, Victor J. W.
2019
Proof of a $$q$$-congruence conjectured by Tauraso. Zbl 1467.11027
Guo, Victor J. W.
2019
Factors of some truncated basic hypergeometric series. Zbl 1448.33016
Guo, Victor J. W.
2019
Some $$q$$-congruences with parameters. Zbl 1459.11052
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
$$q$$-analogues of two Ramanujan-type formulas for $$1/\pi$$. Zbl 1444.11036
Guo, Victor J. W.; Liu, Ji-Cai
2018
A $$q$$-analogue of a Ramanujan-type supercongruence involving central binomial coefficients. Zbl 1373.05025
Guo, Victor J. W.
2018
Ramanujan-type formulae for $$1/\pi: q$$-analogues. Zbl 1436.11024
Guo, Victor J. W.; Zudilin, Wadim
2018
A $$q$$-analogue of the (L.2) supercongruence of van Hamme. Zbl 1405.33021
Guo, Victor J. W.
2018
A $$q$$-analogue of the (J.2) supercongruence of van Hamme. Zbl 1390.05028
Guo, Victor J. W.
2018
A bijective proof of the Shor recurrence. Zbl 1384.05095
Guo, Victor J. W.
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
A recursive algorithm for trees and forests. Zbl 1355.05083
Guo, Song; Guo, Victor J. W.
2017
A $$q$$-Clausen-Orr type formula and its applications. Zbl 1430.11028
Guo, Hong-Fang; Guo, Victor J. W.; Zeng, Jiang
2017
Factors of sums involving $$q$$-binomial coefficients and powers of $$q$$-integers. Zbl 1385.05024
Guo, Victor J. W.; Wang, Su-Dan
2017
Some congruences related to hypergeometric polynomials. Zbl 1362.33006
Guo, Song; Guo, Victor J. W.
2017
Factors of alternating sums of powers of $$q$$-Narayana numbers. Zbl 1428.11008
Guo, Victor J. W.; Jiang, Qiang-Qiang
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
Proof of a conjecture involving Sun polynomials. Zbl 1468.11006
Guo, Victor J. W.; Mao, Guo-Shuai; Pan, Hao
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
A quadratic formula for basic hypergeometric series related to Askey-Wilson polynomials. Zbl 1312.33051
Guo, Victor J. W.; Ishikawa, Masao; Tagawa, Hiroyuki; Zeng, Jiang
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
Contiguous relations and summation and transformation formulae for basic hypergeometric series. Zbl 1280.33015
Gao, Feng; 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
Factors of sums and alternating sums involving binomial coefficients and powers of integers. Zbl 1235.05009
Guo, Victor J. W.; Zeng, Jiang
2011
On Jensen’s and related combinatorial identities. Zbl 1265.05027
Guo, Victor J. W.
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
On arithmetic partitions of $$\mathbb Z_n$$. Zbl 1228.05053
Guo, Victor J. W.; Zeng, Jiang
2009
Bijective proofs of Gould’s and Rothe’s identities. Zbl 1135.05005
Guo, Victor J. W.
2008
Multiple extensions of a finite Euler’s pentagonal number theorem and the Lucas formulas. Zbl 1156.05003
Guo, Victor J. W.; Zeng, Jiang
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
...and 1 more Documents
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### Cited by 226 Authors

 95 Guo, Victor J. W. 28 Liu, Jicai 22 Zeng, Jiang 15 Pan, Hao 13 Mao, Guo-Shuai 11 Sun, Zhi-Wei 10 Merca, Mircea 9 Schlosser, Michael J. 9 Wang, Xiaoxia 8 He, Bing 8 Hou, Qinghu 7 Wang, Chen 7 Wang, Su-Dan 7 Wei, Chuanan 7 Zudilin, Wadim 6 Kalita, Gautam 6 Ni, He-Xia 6 Yee, Ae Ja 5 Chen, William Yong-Chuan 5 Chu, Wenchang 5 El Bachraoui, Mohamed 5 Jana, Arijit 5 Jouhet, Frédéric 5 Li, Long 5 Sun, Brian Yi 4 Liu, Yudong 4 Wang, Chun 3 Ballantine, Cristina M. 3 Gu, Chengyang 3 Guo, Song 3 Koparal, Sibel 3 Lian, Xiuguo 3 Lin, Zhicong 3 Ma, Shi-Mei 3 Mao, Renrong 3 Sun, Yidong 3 Sun, Zhihong 3 Tauraso, Roberto 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 Eu, Sen-Peng 2 Fu, Amy M. 2 Fu, Tung-Shan 2 Gong, Dianxuan 2 Guillera, Jesús 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 Omur, Nese 2 Romero, Natalia 2 Silimbani, Matteo 2 Xia, Ernest X. W. 2 Xu, Aimin 2 Yang, Arthur L. B. 2 Yeh, Yeong-Nan 2 Yu, Menglin 2 Yuan, Peisen 2 Zhang, Iris F. 2 Zhang, Yong 2 Zhao, Xiang 1 Abdesselam, Abdelmalek 1 Adamczewski, Boris 1 Alzer, Horst 1 Amdeberhan, Tewodros 1 Ando, Masanori 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, Jie 1 Cao, Zhi-Jian 1 Cen, Zhongdi 1 Çetinkaya, Asena 1 Chan, Song Heng 1 Chapoton, Frédéric 1 Chen, Qi-Fei 1 Chen, Sandy H. L. 1 Chen, Shaoshi 1 Chen, Xiaojing 1 Chetry, Arjun Singh 1 Cvijović, Djurdje 1 Dağli, Muhammet Cihat ...and 126 more Authors
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### Cited in 72 Serials

 31 The Ramanujan Journal 26 International Journal of Number Theory 24 Journal of Mathematical Analysis and Applications 21 Journal of Number Theory 19 Discrete Mathematics 19 Journal of Difference Equations and Applications 18 Results in Mathematics 14 Journal of Combinatorial Theory. Series A 14 European Journal of Combinatorics 13 Advances in Applied Mathematics 12 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 9 Bulletin of the Australian Mathematical Society 9 The Electronic Journal of Combinatorics 8 Integral Transforms and Special Functions 7 Proceedings of the American Mathematical Society 6 Acta Arithmetica 5 Advances in Mathematics 4 Rocky Mountain Journal of Mathematics 4 AIMS Mathematics 4 Electronic Research Archive 3 Indian Journal of Pure & Applied Mathematics 3 Periodica Mathematica Hungarica 3 Colloquium Mathematicum 3 Quaestiones Mathematicae 3 Journal of Symbolic Computation 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 Monatshefte für Mathematik 2 Bulletin of the Korean Mathematical Society 2 Graphs and Combinatorics 2 Constructive Approximation 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Journal of Algebraic Combinatorics 2 Turkish Journal of Mathematics 2 Taiwanese Journal of Mathematics 1 Computers & Mathematics with Applications 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 Mathematische Zeitschrift 1 Rendiconti del Seminario Matematico della Università di Padova 1 Statistics & Probability Letters 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 The Australasian Journal of Combinatorics 1 Finite Fields and their Applications 1 Bulletin des Sciences Mathématiques 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 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Contributions to Discrete Mathematics 1 Online Journal of Analytic Combinatorics 1 Applicable Analysis and Discrete Mathematics 1 Symmetry 1 Afrika Matematika 1 Arabian Journal of Mathematics 1 Axioms 1 Journal of Mathematics 1 Research in the Mathematical Sciences
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### Cited in 29 Fields

 278 Number theory (11-XX) 232 Combinatorics (05-XX) 136 Special functions (33-XX) 5 Computer science (68-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Real functions (26-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Group theory and generalizations (20-XX) 3 Difference and functional equations (39-XX) 3 Numerical analysis (65-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 2 Probability theory and stochastic processes (60-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 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-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)