On a congruence involving q-Catalan numbers

被引：43
作者：
Liu, Ji-Cai [1 ]
机构：
[1] Wenzhou Univ, Dept Math, Wenzhou 325035, Peoples R China
来源：
COMPTES RENDUS MATHEMATIQUE | 2020年 / 358卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Q-ANALOGS;
D O I：
10.5802/crmath.35
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Based on a q-congruence of the author and Petrov, we set up a q-analogue of Sun-Tauraso's congruence for sums of Catalan numbers, which extends a q-congruence due to Tauraso.
引用
收藏
页码：211 / 215
页数：5
相关论文
共 13 条
[1]   Q-CATALAN NUMBERS [J].
FURLINGER, J ;
HOFBAUER, J .
JOURNAL OF COMBINATORIAL THEORY SERIES A, 1985, 40 (02) :248-264
[2]   Some New q-Congruences for Truncated Basic Hypergeometric Series [J].
Guo, Victor J. W. ;
Schlosser, Michael J. .
SYMMETRY-BASEL, 2019, 11 (02)
[3]   A q-microscope for supercongruences [J].
Guo, Victor J. W. ;
Zudilin, Wadim .
ADVANCES IN MATHEMATICS, 2019, 346 :329-358
[4]   Proof of a q-congruence conjectured by Tauraso [J].
Guo, Victor J. W. .
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2019, 15 (01) :37-41
[5]   q-Analogues of two Ramanujan-type formulas for 1/π [J].
Guo, Victor J. W. ;
Liu, Ji-Cai .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2018, 24 (08) :1368-1373
[6]   Some congruences involving central q-binomial coefficients [J].
Guo, Victor J. W. ;
Zeng, Jiang .
ADVANCES IN APPLIED MATHEMATICS, 2010, 45 (03) :303-316
[7]   Congruences on sums of q-binomial coefficients [J].
Liu, Ji-Cai ;
Petrov, Fedor .
ADVANCES IN APPLIED MATHEMATICS, 2020, 116 (116)
[8]   On two conjectural supercongruences of Apagodu and Zeilberger [J].
Liu, Ji-Cai .
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2016, 22 (12) :1791-1799
[9]   From generating series to polynomial congruences [J].
Mattarei, Sandro ;
Tauraso, Roberto .
JOURNAL OF NUMBER THEORY, 2018, 182 :179-205
[10]   ON SOME NEW CONGRUENCES FOR BINOMIAL COEFFICIENTS [J].
Sun, Zhi-Wei ;
Tauraso, Roberto .
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2011, 7 (03) :645-662
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