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Papers:

-5. (with Ji-Cai Liu) A q-congruence implying the Beukers-Van Hamme congruence, Bull. Sci. Math., to appear

-4. (with Xing-Ye Zhu) Three new q-supercongruences from Jackson's summation and Watson's transformation, Mediterr. J. Math. 22 (2025), Art. 43. Full-text view-only version.

-3. (with Qi Chen) A generalization of a q-congruence of Liu and Wang, Bull. Math. Soc. Sci. Math. Roumanie (N.S.), to appear.

-2. A new family of q-supercongruences from Jackson's _6\phi_5 summation, Results Math. 80 (2025), Art. 50. Full-text view-only version.

-1. A further common q-generalization of the (B.2) and (C.2) supercongruences of Van Hamme, Int. J. Number Theory 21 (2025), 605-614.

0. Some q-supercongruences from a q-analogue of Watson's 3F2 summation, Forum Math. 37 (2025), 417-423.

1. Some q-supercongruences from Singh's quadratic transformation , Chinese Ann. Math. Ser. B, to appear.

2. q-Analogues of two supercongruences in the (E.3) and (F.3) conjectures of Swisher, Rocky Mountain J. Math., to appear.

3. A new q-variation of the (C.2) supercongruence of Van Hammes, Results Math. 79 (2024), Art. 87.

4. (with Jian Cao and Xiao Yu) Factors of certain basic hypergeometric sums, Ramanujan J. 63 (2024), 995-1005.

5. (with Jian Cao and Xiao Yu) A new extension of a ``divergent" Ramanujan-type supercongruence, J. Difference Equ. Appl. 30 (2024), 122-132.

6. Three families of q-supercongruences from a quadratic transformation of Rahman, Bull. Sci. Math. 188 (2023), Art. 103339.

7. (with He-Xia Ni) Proof of some supercongruences through a q-microscope, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. 117 (2023), Art. 147.

8. (with Michael J. Schlosser) New q-analogues of Van Hamme's (E.2) supercongruence and of a supercongruence by Swisher, Results Math. 78 (2023), Art. 105. Open Access.

9. (with He-Xia Ni) Further generalizations of four supercongruences of Rodriguez-Villegas, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. 117 (2023), Art. 49.

10. (with Long Li) q-Supercongruences from squares of basic hypergeometric series, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. 117 (2023), Art. 26.

11. (with Michael J. Schlosser) Three families of q-supercongruences modulo the square and cube of a cyclotomic polynomial, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. 117 (2023), Art. 9. Open Access.

12. Some q-supercongruences from the Gasper and Rahman quadratic summation, Rev. Mat. Complut. 36 (2023), 993-1002. Full-text view-only version.

13. (with Xiuguo Lian) A new q-analogue of Van Hamme's (G.2) supercongruence for primes p≡3 (mod 4), Bull. Korean Math. Soc. 60 (2023), 775-783.

14. Some q-supercongruences from Gasper's Karlsson--Minton type summation, Ramanujan J. 60 (2023), 825-835. Full-text view-only version.

15. (with Ji-Cai Liu and Michael J. Schlosser) An extension of a supercongruence of Long and Ramakrishna, Proc. Amer. Math. Soc. 151 (2023), 1157-1166.

16. On a conjecture related to integer-valued polynomials, Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 66(114) (2023), 449--453.

17. A new q-analogue of Van Hamme's (A.2) supercongruence, Bull. Aust. Math. Soc. 107 (2023), 22-30.

18. New q-analogues of a congruence of Sun and Tauraso, Publ. Math. Debrecen 102 (2023), 103-109.

19. (with Cheng-Yang Gu) Further q-supercongruences from the q-Pfaff-Saalsch\"utz identity, Results Math. 77 (2022), Art. 238. Full-text view-only version.

20. Some q-analogues of supercongruences for truncated 3F2 hypergeometric series, Ramanujan J. 59 (2022), 131-142. Full-text view-only version.

21. A new extension of the (A.2) supercongruence of Van Hamme, Results Math. 77 (2022), Art. 96. Full-text view-only version.

22. Further q-supercongruences from a transformation of Rahman, J. Math. Anal. Appl. 511 (2022), Art. 126062.

23. q-Analogues of some supercongruences related to Euler numbers, J. Difference Equ. Appl. 28 (2022), 58-72.

24. (with Su-Dan Wang) Factors of certain sums involving central q-binomial coefficients, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. 116 (2022), Art. 46.

25. (with Jian-Ping Fang) Some q-supercongruences related to Swisher's (H.3) conjecture, Int. J. Number Theory 18 (2022), 1417-1427.

26. (with Xiuguo Lian) On a generalization of a congruence related to q-Narayana numbers, J. Algebraic Combin. 55 (2022), 1299-1305. Full-text view-only version.

27. (with Michael J. Schlosser) A family of q-supercongruences modulo the cube of a cyclotomic polynomial, Bull. Aust. Math. Soc. 105 (2022), 296-302. Open Access.

28. Some q-supercongruences from the Bailey transformation, Period. Math. Hungar. 85 (2022) 328-335. Full-text view-only version.

29. A new extension of the (H.2) supercongruence of Van Hamme for primes p≡3 (mod 4), Ramanujan J. 57 (2022), 1387-1398. Full-text view-only version.

30. (with Jian-Ping Fang) Two q-congruences involving double basic hypergeometric sums, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. 116 (2022), Art. 25.

31. (with Chuanan Wei) A q-congruence for a truncated 4\phi3 series, Czechoslovak Math. J. 71 (2021), 1157-1165.

32. (with Michael J. Schlosser) Some q-supercongruences modulo the square and cube of a cyclotomic polynomial, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. 115 (2021), Art. 132. Open Access.

33. Another family of q-congruences modulo the square of a cyclotomic polynomial, Results Math. 76 (2021), Art. 109. Full-text view-only version.

34. (with Wadim Zudilin) Dwork-type supercongruences through a creative q-microscope, J. Combin. Theory, Ser. A 178 (2021), Art. 105362. Open Access.

35. (with Song Guo) Curious q-analogues of two supercongruences modulo the third power of a prime, Results Math. 76 (2021), Art. 37. Full-text view-only version.

36. Proof of a generalization of the (C.2) supercongruence of Van Hamme, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. 115 (2021), Art. 45. Full-text view-only version.

37. Some variations of a ``divergent" Ramanujan-type q-supercongruence, J. Difference Equ. Appl. 27 (2021), 376-388.

38. (with Michael J. Schlosser) Some q-supercongruences from transformation formulas for basic hypergeometric series, Constr. Approx. 53 (2021), 155-200. Open Access.

39. A further q-analogue of Van Hamme's (H.2) supercongruence for primes p≡3 (mod 4), Int. J. Number Theory 17 (2021), 1201-1206.

40. (with Cheng-Yang Gu) Two q-congruences from Carlitz's formula, Period. Math. Hungar. 82 (2021), 82-86. Full-text view-only version.

41. (with Xiuguo Lian) Some q-congruences on double basic hypergeometric sums, J. Difference Equ. Appl. 27 (2021), 453-461.

42. (with Michael J. Schlosser) A family of q-hypergeometric congruences modulo the fourth power of a cyclotomic polynomial, Israel J. Math. 240 (2020), 821--835. Open Access.

43. q-Supercongruences modulo the fourth power of a cyclotomic polynomial via creative microscoping, Adv. Appl. Math. 120 (2020), Art. 102078.

44. Proof of a supercongruence conjectured by Sun through a q-microscope, Proc. Indian Acad. Sci. Math. Sci. 130 (2020), Art. 63. Full-text view-only version.

45. A family of q-congruences modulo the square of a cyclotomic polynomial, Electron. Res. Arch. 28 (2020), 1031-1036. Full-text version.

46. Proof of some q-supercongruences modulo the fourth power of a cyclotomic polynomial, Results Math. 75 (2020), Art. 77. Full-text view-only version.

47. A q-analogue of the (A.2) supercongruence of Van Hamme for primes p≡1 (mod 4), Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. 114 (2020), Art. 123. Full-text view-only version.

48. q-Analogues of Dwork-type supercongruences, J. Math. Anal. Appl. 487 (2020), Art. 124022.

49. (with Wadim Zudilin) A common q-analogue of two supercongruences, Results Math. 75 (2020), Art. 46. Open Access.

50. Proof of a generalization of the (B.2) supercongruence of Van Hamme through a q-microscope, Adv. Appl. Math. 116 (2020), Art. 102016.

51. (with Cheng-Yang Gu) Proof of two conjectures on supercongruences involving central binomial coefficients, Bull. Aust. Math. Soc. 102 (2020), 360-364.

52. (with Michael J. Schlosser) A new family of q-supercongruences modulo the fourth power of a cyclotomic polynomial, Results Math. 75 (2020), Art. 155. Open Access.

53. (with Michael J. Schlosser) Some new q-congruences for truncated basic hypergeometric series: even powers, Results Math. 75 (2020), Art. 1. Open Access.

54. (with Ji-Cai Liu) Some congruences related to a congruence of Van Hamme, Integral Transforms Spec. Funct. 31 (2020), 221-231.

55. (with Cheng-Yang Gu) A q-analogue of a hypergeometric congruence, Bull. Aust. Math. Soc. 101 (2020), 294-298.

56. q-Analogues of two ``divergent" Ramanujan-type supercongruences, Ramanujan J. 52 (2020), 605-624. Full-text view-only version.

57. (with Su-Dan Wang) Some congruences involving fourth powers of central q-binomial coefficients, Proc. Roy. Soc. Edinburgh Sect. A 150 (2020), 1127-1138.

58. q-Analogues of three Ramanujan-type formulas for 1/pi, Ramanujan J. 52 (2020), 123-132. Full-text view-only version.

59. (with Cheng-Yang Gu) q-Analogues of two supercongruences of Z.-W. Sun, Czechoslovak Math. J. 70 (2020), 757-765. Full-text view-only version.

60. Common q-analogues of some different supercongruences, Results Math. 74 (2019), Art. 131. Full-text view-only version.

61. Factors of some truncated basic hypergeometric series, J. Math. Anal. Appl. 476 (2019), 851-859.

62. (with Su-Dan Wang) A symmetric generalization of an identity of Andrews and Yee, Discrete Math. 342 (2019), 2112-2115.

63. (with Wadim Zudilin) On a q-deformation of modular forms, J. Math. Anal. Appl. 475 (2019), 1636-1646.

64. (with Xiao-Xin Wang) A Chung--Feller theorem for lattice paths with respect to cyclically shifting boundaries, J. Algebraic Combin. 50 (2019), 119-126. Full-text view-only version.

65. Some q-congruences with parameters, Acta Arith. 190 (2019), 381-393.

66. (with He-Xia Ni) A q-congruence involving the Jacobi symbol, Int. J. Number Theory 15 (2019), 1977-1981.

67. A q-analogue of a curious supercongruence of Guillera and Zudilin, J. Difference Equ. Appl. 25 (2019), 342-350.

68. q-Analogues of the (E.2) and (F.2) supercongruences of Van Hamme, Ramanujan J. 49 (2019), 531-544. Full-text view-only version.

69. (with Michael J. Schlosser) Proof of a basic hypergeometric supercongruence modulo the fifth power of a cyclotomic polynomial, J. Difference Equ. Appl. 25 (2019), 921-929. Open Access.

70. (with Michael J. Schlosser) Some new q-congruences for truncated basic hypergeometric series, Symmetry 11(2) (2019), Art. 268.

71. (with Wadim Zudilin) A q-microscope for supercongruences, Adv. Math. 346 (2019), 329-358.

72. A q-analogue of the (I.2) supercongruence of Van Hamme, Int. J. Number Theory 15 (2019), 29-36.

73. Proof of a q-congruence conjectured by Tauraso, Int. J. Number Theory 15 (2019), 37-41.

74. (with Su-Dan Wang) Factors of sums and alternating sums of products of q-binomial coefficients and powers of q-integers, Taiwanese J. Math. 23 (2019), 11-27.

75. A q-analogue of the (L.2) supercongruence of Van Hamme, J. Math. Anal. Appl. 466 (2018), 749-761.

76. A q-analogue of the (J.2) supercongruence of Van Hamme, J. Math. Anal. Appl. 466 (2018), 776-788.

77. (with Qi-Fei Chen) On the divisibility of sums involving powers of multi-variable Schmidt polynomials , Int. J. Number Theory 14 (2018), 365-370.

78. A bijective proof of the Shor recurrence, European J. Combin. 70 (2018), 92-98.

79. (with Xiuguo Lian) Proofs of two conjectures on Catalan triangle numbers, J. Difference Equ. Appl., 24 (2018), 1473-1487.

80. (with Ji-Cai Liu) q-Analogues of two Ramanujan-type formulas for 1/pi, J. Difference Equ. Appl. 24 (2018), 1368-1373.

81. (with Wadim Zudilin) Ramanujan-type formulae for 1/pi: q-analogues, Integral Transforms Spec. Funct.29 (2018), 505-513..

82. A new proof of the q-Dixon identity, Czechoslovak Math. J. 68 (2018), 577-580.

83. A q-analogue of a Ramanujan-type supercongruence involving central binomial coefficients, J. Math. Anal. Appl. 458 (2018), 590-600.

84. Some generalizations of a supercongruence of van Hamme, Integral Transforms Spec. Funct. 28 (2017), 888-899.

85. (with Su-Dan Wang) Factors of sums involving q-binomial coefficients and powers of q-integers, J. Difference Equ. Appl. 23 (2017), 1670-1679.

86. (with Ji-Cai Liu) Proof of a congruence on sums of powers of q-binomial coefficients, Int. J. Number Theory 13 (2017), 1571-1577.

87. (with Hong-Fang Guo and Jiang Zeng) A q-Clausen-Orr type formula and its applications, J. Math. Anal. Appl. 453 (2017), 761-772.

88. (with Fei Han) On certain multi-variable rational identities derived from the rigidity of signature of manifolds, J. Math. Anal. Appl. 453 (2017), 360-365.

89. (with Qiang-Qiang Jiang) Factors of alternating sums of powers of q-Narayana numbers, J. Number Theory 177 (2017), 37-42.

90. (with Song Guo) A recursive algorithm for trees and forests, Discrete Math. 340 (2017), 695-703.

91. (with Song Guo) Some congruences related to hypergeometric polynomials, Integral Transforms Spec. Funct. 28 (2017), 181-184.

92. (with Hao Pan and Yong Zhang) The Rodriguez-Villegas type congruences for truncated q-hypergeometric functions, J. Number Theory 174 (2017), 358-368.

93. (with Yiting Yang) Proof of a conjecture of Klove on permutation codes under the Chebychev distance, Des. Codes Cryptogr. 83 (2017), 685-690.

94. (with Ya-Zhen Wang) Some q-Dixon-like summation formulas, Ars Combin. 135 (2017),311-322.

95. Proof of Sun's conjectures on integer-valued polynomials, J. Math. Anal. Appl. 444 (2016), 182-191.

96. (with Guo-Shuai Mao and Hao Pan) Proof of a conjecture involving Sun polynomials, J. Difference Equ. Appl. 22 (2016), 1184-1197.

97. (with Ji-Cai Liu) Proof of some conjectures of Z.-W. Sun on the divisibility of certain double sums, Int. J. Number Theory 12 (2016), 615-623.

98. (with Jiang Zeng) Some q-supercongruences for truncated basic hypergeometric series, Acta Arith. 171 (2015), 309-326.

99. (with Jiang Zeng) Basic and bibasic identities related to divisor functions, J. Math. Anal. Appl. 431 (2015), 1197-1209.

100. (with Ji-Cai Liu) Proof of a conjecture of Z.-W. Sun on the divisibility of a triple sum, J. Number Theory 156 (2015), 154-160.

101. Some congruences involving powers of Legendre polynomials, Integral Transforms Spec. Funct. 26 (2015), 660-666.

102 Proof of a conjecture of Mircea Merca, J. Number Theory, 147 (2015), 590-593.

103. Some congruences related to the q-Fermat quotients, Int. J. Number Theory 11 (2015), 1049-1060.

104. (with Masao Ishikawa, Hiroyuki Tagawa, and Jiang Zeng) A quadratic formula for basic hypergeometric series related to Askey-Wilson polynomials, Proc. Amer. Math. Soc. 143 (2015), 2003-2015.

105. Proof of a supercongruence conjectured by Z.-H. Sun, Integral Transforms Spec. Funct. 25 (2014), 1009-1015.

106. (with Jiang Zeng) Some q-analogues of supercongruences of Rodriguez-Villegas, J. Number Theory 145 (2014), 301-316.

107. Proof of two divisibility properties of binomial coefficients conjectured by Z.-W. Sun, Electron. J. Combin. 21(2) (2014), #P2.54.

108. (with Christian Krattenthaler) Some divisibility properties of binomial and q-binomial coefficients, J. Number Theory 135 (2014), 167-184.

109. (with Jing Zhang) Combinatorial proofs of a kind of binomial and q-binomial coefficient identities, Ars Combin. 113 (2014), 415-428.

110. Proof of Sun's conjecture on the divisibility of certain binomial sums, Electron. J. Combin. 20(4) (2013), #P20.

111. (with Feng Gao) Contiguous relations and summation and transformation formulas for basic hypergeometric series, J. Difference Equ. Appl. 19 (2013), 2029-2042.

112. (with Jiang Zeng) Two truncated identities of Gauss, J. Combin. Theory Ser. A 120 (2013), 700-707.

113. Proof of Andrews' conjecture on a 4phi3 summation, J. Difference Equ. Appl. 19 (2013), 1035-1041.

114. Proof of two conjectures of Sun on congruences for Franel numbers, Integral Transforms Spec. Funct. 24 (2013), 532-539.

115. (with Jiang Zeng) On Zudilin's q-question about Schmidt's problem， Electron. J. Combin. 19 (3) (2012), #P4.

116. (with Jiang Zeng) New congruences for sums involving Apery numbers or central Delannoy numbers, Int. J. Number Theory 8 (2012), 2003-2016.

117. (with Jiang Zeng) Proof of some conjectures of Z.-W. Sun on congruences for Apery polynomials, J. Number Theory 132 (2012), 1731-1740.

118. Bijective proofs of Gould-Mohanty's and Raney-Mohanty's identities, Ars Combin. 106 (2012), 297-304.

119. On Jensen's and related combinatorial identities, Appl. Anal. Discrete Math. 5 (2011), 201-211.

120. (with Dan-Mei Yang) A q-analogue of some binomial coefficient identities of Y. Sun, Electron. J. Combin. 18 (1) (2011), #P78.

121. (with Cai Zhang) Some further q-series identities related to divisor functions, Ramanujan J. 25 (2011), 295-306.

122. (with Jiang Zeng) Factors of sums and alternating sums involving binomial coefficients and powers of integers, Int. J. Number Theory 7 (2011), 1959-1976.

123. On the least common multiple of q-binomial coefficients, Integers 10 (2010), 351-356.

124. (with Jiang Zeng) Combinatorial proof of a curious q-binomial coefficient identity, Electron. J. Combin. 17 (1) (2010), #N13.

125. (with Jiang Zeng) Some congruences involving central q-binomial coefficients, Adv. Appl. Math. 45 (2010), 303-316.

126. (with Jiang Zeng) Pairs of lattice paths and positive trigonometric sums, Constr. Approx. 32 (2010), 67-75.

127 (with Jiang Zeng) Factors of binomial sums from the Catalan triangle, J. Number Theory 130 (2010), 172-186.

128. (with Frederic Jouhet and Jiang Zeng) New Finite Rogers-Ramanujan Identities, Ramanujan J. 19 (2009), 247-266.

129. (with Ying-Jie Lin, Yan Liu and Cai Zhang) A q-analogue of Zhang's binomial coefficient identities, Discrete Math. 309 (2009), 5913-5919.

130. (with Jiang Zeng) On arithmetic partitions of Z_n, European J. Combin. 30 (2009), 1281-1288.

131. A new proof of a theorem of Mansour and Sun, European J. Combin. 29 (2008), 1582-1584.

132. (with Jiang Zeng) Multiple extensions of a finite Euler's pentagonal number theorem and the Lucas formulas, Discrete Math. 308 (2008), 4069-4078.

133. Bijective proofs of Gould's and Rothe's identities, Discrete Math. 308 (2008), 1756-1759.

134. (with Michael J. Schlosser) Curious extensions of Ramanujan's ₁ψ₁ summation formula, J. Math. Anal. Appl. 334 (2007), 393-403.

135. (with Frederic Jouhet and Jiang Zeng) Factors of alternating sums of products of binomial and q-binomial coefficients, Acta Arith., 127 (2007), 17-31.

136. (with Jiang Zeng) Short proofs of summation and transformation formulas for basic hypergeometric series, J. Math. Anal. Appl. 327 (2007), 310-325.

137. (with Jiang Zeng) A generalization of the Ramanujan polynomials and plane trees, Adv. Appl. Math., 39 (2007), 96-115.

138. (with Martin Rubey and Jiang Zeng) Combinatorial interpretations of the q-Faulhaber and q-Salié coefficients, J. Combin. Theory Ser. A 113 (2006), 1501-1515.

139. (with Jiang Zeng) The number of convex polyominoes and the generating function of Jacobi polynomials, Discrete Appl. Math. 154 (2006), 587-593.

140. (with Jiang Zeng) The Eulerian distribution on involutions is indeed unimodal, J. Combin. Theory Ser. A 113 (2006), 1061-1071.

141. (with Jiang Zeng) Some arithmetic properties of the q-Euler numbers and q-Salié numbers, European J. Combin. 27 (2006), 884-895.

142. (with Jiang Zeng) A q-analogue of Faulhaber's formula for sums of powers, Electron. J. Combin. 11 (2) (2005), #R19.

143. (with Jiang Zeng) A short proof of the q-Dixon identity, Discrete Math. 296 (2005), 259-261.

144. (with Jiang Zeng) A note on two identities arising from enumeration of convex polyominoes, J. Comput. Appl. Math. 180 (2005), 413-423.

145. Elementary proofs of some q-identities of Jackson and Andrews-Jain, Discrete Math. 295 (2005), 63-74.

146. (with Jiang Zeng) A combinatorial proof of a symmetric q-Pfaff-Saalschutz identity, Electron. J. Combin. 12 (2005), #N2.

147. A blossoming algorithm for tree volumes of composite digraphs, Adv. Appl. Math. 31 (2003), 321-333.

148. The q-binomial theorem and two symmetric q-identities, Electron. J. Combin. 10 (2003), #R34.

149. A simple proof of Dixon's identity, Discrete Math. 268 (2003), 309-310.

150. (with William Y. C. Chen) Bijections behind the Ramanujan polynomials, Adv. Appl. Math. 27 (2001), 336-356.

Last modified: March 11, 2025.