Factors of some lacunary q-binomial sums

被引：0
|
作者：
Pan, Hao [1 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
来源：
MONATSHEFTE FUR MATHEMATIK | 2013年 / 172卷 / 3-4期
基金：
中国国家自然科学基金;
关键词：
q-Binomial coefficient; Cyclotomic polynomial; Lucas congruence; COMBINATORIAL CONGRUENCES; PRIME;
D O I：
10.1007/s00605-013-0515-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove a divisibility result for the lacunary q-binomial sum (k equivalent to r)Sigma((mod c)) (-1)(k)q((k)(2))[(n)(k)](q)[l((k - r)/c)](qc).
引用
收藏
页码：387 / 398
页数：12
相关论文
共 50 条
  • [1] Factors of alternating sums of products of binomial and q-binomial coefficients
    Guo, Victor J. W.
    Jouhet, Frederic
    Zeng, Jiang
    [J]. ACTA ARITHMETICA, 2007, 127 (01) : 17 - 31
  • [2] ON ALTERNATING SUMS OF BINOMIAL AND q-BINOMIAL COEFFICIENTS
    El Bachraoui, Mohamed
    [J]. ARS COMBINATORIA, 2020, 151 : 257 - 272
  • [3] Some Generalized Fibonomial Sums related with the Gaussian q-Binomial sums
    Kilic, Emrah
    Akkus, Ilker
    Ohtsuka, Hideyuki
    [J]. BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2012, 55 (01): : 51 - 61
  • [4] Congruences on sums of q-binomial coefficients
    Liu, Ji-Cai
    Petrov, Fedor
    [J]. ADVANCES IN APPLIED MATHEMATICS, 2020, 116
  • [5] Factors of certain sums involving central q-binomial coefficients
    Guo, Victor J. W.
    Wang, Su-Dan
    [J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2022, 116 (01)
  • [6] Factors of certain sums involving central q-binomial coefficients
    Victor J. W. Guo
    Su-Dan Wang
    [J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022, 116
  • [7] Factors of Sums and Alternating Sums of Products of q-binomial Coefficients and Powers of q-integers
    Guo, Victor J. W.
    Wang, Su-Dan
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2019, 23 (01): : 11 - 27
  • [8] Factors of sums involving q-binomial coefficients and powers of q-integers
    Guo, Victor J. W.
    Wang, Su-Dan
    [J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2017, 23 (10) : 1670 - 1679
  • [9] Polynomial argument for q-binomial cubic sums
    Wang, Xiaoyuan
    Chu, Wenchang
    [J]. HIROSHIMA MATHEMATICAL JOURNAL, 2018, 48 (02) : 189 - 202
  • [10] SOME q-BINOMIAL COEFFICIENTS
    Shannon, A. G.
    [J]. NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2006, 12 (01) : 13 - 20
12345