On q-Congruences Involving Harmonic Numbers

被引:3
|
作者
He, B. [1 ]
机构
[1] Northwest A&F Univ, Coll Sci, Yangling, Shaanxi, Peoples R China
关键词
Q-ANALOGS; CATALAN NUMBERS; SUPERCONGRUENCES;
D O I
10.1007/s11253-018-1445-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We give some congruences involving q-harmonic numbers and alternating q-harmonic numbers of order m. Some of these congruences are q-analogs of several known congruences.
引用
收藏
页码:1463 / 1472
页数:10
相关论文
共 50 条
  • [1] On q-Congruences Involving Harmonic Numbers
    B. He
    Ukrainian Mathematical Journal, 2018, 69 : 1463 - 1472
  • [2] Some congruences involving q-harmonic numbers
    He, Bing
    ARS COMBINATORIA, 2018, 137 : 295 - 304
  • [3] Two q-congruences involving double basic hypergeometric sums
    Fang, Jian-Ping
    Guo, Victor J. W.
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2022, 116 (01)
  • [4] Two q-congruences involving double basic hypergeometric sums
    Jian-Ping Fang
    Victor J. W. Guo
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022, 116
  • [5] ON CONGRUENCES INVOLVING THE GENERALIZED CATALAN NUMBERS AND HARMONIC NUMBERS
    Koparal, Sibel
    Omur, Nese
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 56 (03) : 649 - 658
  • [6] On some congruences involving Domb numbers and harmonic numbers
    Mao, Guo-Shuai
    Wang, Jie
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2019, 15 (10) : 2179 - 2200
  • [7] Two new q-congruences involving double basic hypergeometric series
    Wei, Chuanan
    Li, Chun
    BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2024, 67 (03): : 333 - 343
  • [8] Two congruences involving harmonic numbers with applications
    Mao, Guo-Shuai
    Sun, Zhi-Wei
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2016, 12 (02) : 527 - 539
  • [9] Some q-congruences with parameters
    Guo, Victor J. W.
    ACTA ARITHMETICA, 2019, 190 (04) : 381 - 393
  • [10] Some q-congruences for homogeneous and quasi-homogeneous multiple q-harmonic sums
    Pilehrood, Kh. Hessami
    Pilehrood, T. Hessami
    Tauraso, R.
    RAMANUJAN JOURNAL, 2017, 43 (01): : 113 - 139