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Papers:

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

0. Some q-supercongruences from a q-analogue of Watson's 3F2 summation, Forum Math., to appear.

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

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

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

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

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

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: September 28, 2024.